TSTP Solution File: SYN447+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN447+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n016.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 13:52:38 EDT 2022
% Result : Theorem 20.15s 20.38s
% Output : Proof 23.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN447+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 23:59:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 20.15/20.38 (* PROOF-FOUND *)
% 20.15/20.38 % SZS status Theorem
% 20.15/20.38 (* BEGIN-PROOF *)
% 20.15/20.38 % SZS output start Proof
% 20.15/20.38 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1020))/\((~(c1_1 (a1020)))/\(~(c2_1 (a1020)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c0_1 (a1023)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a1024))/\((c1_1 (a1024))/\(~(c3_1 (a1024)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a1025)))/\((~(c3_1 (a1025)))/\(~(c2_1 (a1025)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a1026))/\((~(c2_1 (a1026)))/\(~(c1_1 (a1026)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a1027))/\((c2_1 (a1027))/\(~(c3_1 (a1027)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c2_1 (a1030)))/\((~(c3_1 (a1030)))/\(~(c0_1 (a1030)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a1035))/\((c1_1 (a1035))/\(~(c2_1 (a1035)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a1036))/\((~(c3_1 (a1036)))/\(~(c1_1 (a1036)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a1038)))/\((c2_1 (a1038))/\(~(c0_1 (a1038)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a1039))/\((~(c2_1 (a1039)))/\(~(c0_1 (a1039)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c3_1 (a1041)))/\((c1_1 (a1041))/\(~(c2_1 (a1041)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a1043)))/\((c0_1 (a1043))/\(~(c3_1 (a1043)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055)))))))/\(((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))))/\(((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))))/\(((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))))/\(((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c3_1 (a1098)))/\((c1_1 (a1098))/\(~(c0_1 (a1098)))))))/\(((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))))/\(((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))))/\(((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))))/\(((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))))/\(((~(hskp32))\/((ndr1_0)/\((~(c0_1 (a1029)))/\((c1_1 (a1029))/\(c2_1 (a1029))))))/\(((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))))/\(((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))))/\(((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))))/\(((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))))/\(((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))))/\(((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))))/\(((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))))/\(((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))))/\(((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))))/\(((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))))/\(((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))))/\(((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))))/\(((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052))))))/\(((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))))/\(((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))))/\(((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062))))))/\(((~(hskp49))\/((ndr1_0)/\((~(c0_1 (a1065)))/\((~(c2_1 (a1065)))/\(c1_1 (a1065))))))/\(((~(hskp50))\/((ndr1_0)/\((~(c0_1 (a1069)))/\((c3_1 (a1069))/\(c1_1 (a1069))))))/\(((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))))/\(((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))))/\(((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))))/\(((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074))))))/\(((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))))/\(((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))))/\(((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085))))))/\(((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))))/\(((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095))))))/\(((~(hskp60))\/((ndr1_0)/\((c2_1 (a1097))/\((~(c0_1 (a1097)))/\(c3_1 (a1097))))))/\(((~(hskp61))\/((ndr1_0)/\((~(c3_1 (a1099)))/\((~(c0_1 (a1099)))/\(c2_1 (a1099))))))/\(((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103))))))/\(((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))))/\(((hskp0)\/((hskp29)\/(hskp30)))/\(((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1)))/\(((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(c0_1 Y)))))\/((hskp3)\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z)))))))/\(((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))))/\(((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3)))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((~(c1_1 X4))\/((~(c0_1 X4))\/(c3_1 X4)))))\/((hskp32)\/(hskp6)))/\(((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((c0_1 X9)\/(c3_1 X9)))))\/((hskp35)\/(forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14)))))))/\(((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17)))))))/\(((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39)))/\(((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))))/\(((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21))))))))/\(((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23)))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45)))/\(((hskp46)\/((hskp38)\/(hskp14)))/\(((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31)))))))/\(((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43)))/\(((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48)))/\(((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16)))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((c1_1 X37)\/(c0_1 X37)))))\/(hskp49)))/\(((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(c0_1 X40)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(c1_1 X41)))))\/(forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))))/\(((hskp7)\/((forall X43 : zenon_U, ((ndr1_0)->((~(c2_1 X43))\/((~(c1_1 X43))\/(c3_1 X43)))))\/(hskp12)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c2_1 X44))\/(~(c1_1 X44))))))\/((hskp50)\/(hskp51)))/\(((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47)))))))/\(((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48))))))))/\(((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50))))))))/\(((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51))))))))/\(((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54)))))))/\(((hskp39)\/((hskp17)\/(hskp18)))/\(((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20)))/\(((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21)))/\(((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56)))/\(((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60)))))))/\(((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58)))/\(((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65))))))))/\(((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24)))/\(((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69))))))))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))))/\(((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z)))))))/\(((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77)))))))/\(((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80))))))))/\(((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82)))))))/\(((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35)))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((c1_1 X85)\/(c2_1 X85)))))\/((hskp60)\/(hskp26)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/(hskp61)))/\(((hskp43)\/((hskp27)\/(hskp28)))/\((hskp62)\/((hskp56)\/(hskp63))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 20.15/20.38 Proof.
% 20.15/20.38 assert (zenon_L1_ : (~(hskp29)) -> (hskp29) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H1 zenon_H2.
% 20.15/20.38 exact (zenon_H1 zenon_H2).
% 20.15/20.38 (* end of lemma zenon_L1_ *)
% 20.15/20.38 assert (zenon_L2_ : (~(hskp30)) -> (hskp30) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H3 zenon_H4.
% 20.15/20.38 exact (zenon_H3 zenon_H4).
% 20.15/20.38 (* end of lemma zenon_L2_ *)
% 20.15/20.38 assert (zenon_L3_ : ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> (~(hskp29)) -> (~(hskp30)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H5 zenon_H6 zenon_H1 zenon_H3.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 20.15/20.38 exact (zenon_H6 zenon_H8).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ].
% 20.15/20.38 exact (zenon_H1 zenon_H2).
% 20.15/20.38 exact (zenon_H3 zenon_H4).
% 20.15/20.38 (* end of lemma zenon_L3_ *)
% 20.15/20.38 assert (zenon_L4_ : (~(hskp22)) -> (hskp22) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H9 zenon_Ha.
% 20.15/20.38 exact (zenon_H9 zenon_Ha).
% 20.15/20.38 (* end of lemma zenon_L4_ *)
% 20.15/20.38 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False).
% 20.15/20.38 do 0 intro. intros zenon_Hb zenon_Hc.
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 (* end of lemma zenon_L5_ *)
% 20.15/20.38 assert (zenon_L6_ : (~(hskp56)) -> (hskp56) -> False).
% 20.15/20.38 do 0 intro. intros zenon_Hd zenon_He.
% 20.15/20.38 exact (zenon_Hd zenon_He).
% 20.15/20.38 (* end of lemma zenon_L6_ *)
% 20.15/20.38 assert (zenon_L7_ : ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (ndr1_0) -> (~(hskp56)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_Hf zenon_H9 zenon_H10 zenon_H11 zenon_H12 zenon_Hc zenon_Hd.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H13 ].
% 20.15/20.38 exact (zenon_H9 zenon_Ha).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_He ].
% 20.15/20.38 generalize (zenon_H14 (a1022)). zenon_intro zenon_H15.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_Hb | zenon_intro zenon_H16 ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 20.15/20.38 exact (zenon_H18 zenon_H12).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 20.15/20.38 exact (zenon_H11 zenon_H1a).
% 20.15/20.38 exact (zenon_H19 zenon_H10).
% 20.15/20.38 exact (zenon_Hd zenon_He).
% 20.15/20.38 (* end of lemma zenon_L7_ *)
% 20.15/20.38 assert (zenon_L8_ : (~(hskp19)) -> (hskp19) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H1b zenon_H1c.
% 20.15/20.38 exact (zenon_H1b zenon_H1c).
% 20.15/20.38 (* end of lemma zenon_L8_ *)
% 20.15/20.38 assert (zenon_L9_ : (~(hskp20)) -> (hskp20) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H1d zenon_H1e.
% 20.15/20.38 exact (zenon_H1d zenon_H1e).
% 20.15/20.38 (* end of lemma zenon_L9_ *)
% 20.15/20.38 assert (zenon_L10_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp19)) -> (~(hskp20)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H1f zenon_H20 zenon_H1b zenon_H1d.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H1c | zenon_intro zenon_H26 ].
% 20.15/20.38 exact (zenon_H1b zenon_H1c).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e ].
% 20.15/20.38 generalize (zenon_H27 (a1084)). zenon_intro zenon_H28.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_Hb | zenon_intro zenon_H29 ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 20.15/20.38 exact (zenon_H25 zenon_H2b).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 20.15/20.38 exact (zenon_H2d zenon_H24).
% 20.15/20.38 exact (zenon_H23 zenon_H2c).
% 20.15/20.38 exact (zenon_H1d zenon_H1e).
% 20.15/20.38 (* end of lemma zenon_L10_ *)
% 20.15/20.38 assert (zenon_L11_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H9 zenon_Hc zenon_H12 zenon_H11 zenon_H10 zenon_Hf.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.15/20.38 apply (zenon_L7_); trivial.
% 20.15/20.38 apply (zenon_L10_); trivial.
% 20.15/20.38 (* end of lemma zenon_L11_ *)
% 20.15/20.38 assert (zenon_L12_ : (~(hskp38)) -> (hskp38) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H2f zenon_H30.
% 20.15/20.38 exact (zenon_H2f zenon_H30).
% 20.15/20.38 (* end of lemma zenon_L12_ *)
% 20.15/20.38 assert (zenon_L13_ : (~(hskp14)) -> (hskp14) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H31 zenon_H32.
% 20.15/20.38 exact (zenon_H31 zenon_H32).
% 20.15/20.38 (* end of lemma zenon_L13_ *)
% 20.15/20.38 assert (zenon_L14_ : ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp46)) -> (~(hskp38)) -> (~(hskp14)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H33 zenon_H34 zenon_H2f zenon_H31.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 20.15/20.38 exact (zenon_H34 zenon_H36).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H30 | zenon_intro zenon_H32 ].
% 20.15/20.38 exact (zenon_H2f zenon_H30).
% 20.15/20.38 exact (zenon_H31 zenon_H32).
% 20.15/20.38 (* end of lemma zenon_L14_ *)
% 20.15/20.38 assert (zenon_L15_ : (~(hskp55)) -> (hskp55) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H37 zenon_H38.
% 20.15/20.38 exact (zenon_H37 zenon_H38).
% 20.15/20.38 (* end of lemma zenon_L15_ *)
% 20.15/20.38 assert (zenon_L16_ : (~(hskp21)) -> (hskp21) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H39 zenon_H3a.
% 20.15/20.38 exact (zenon_H39 zenon_H3a).
% 20.15/20.38 (* end of lemma zenon_L16_ *)
% 20.15/20.38 assert (zenon_L17_ : ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> (c0_1 (a1053)) -> (ndr1_0) -> (~(hskp21)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H3b zenon_H37 zenon_H3c zenon_H3d zenon_H3e zenon_Hc zenon_H39.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.15/20.38 exact (zenon_H37 zenon_H38).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.15/20.38 generalize (zenon_H40 (a1053)). zenon_intro zenon_H41.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_Hb | zenon_intro zenon_H42 ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 20.15/20.38 exact (zenon_H44 zenon_H3e).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 20.15/20.38 exact (zenon_H3d zenon_H46).
% 20.15/20.38 exact (zenon_H3c zenon_H45).
% 20.15/20.38 exact (zenon_H39 zenon_H3a).
% 20.15/20.38 (* end of lemma zenon_L17_ *)
% 20.15/20.38 assert (zenon_L18_ : (~(hskp8)) -> (hskp8) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H47 zenon_H48.
% 20.15/20.38 exact (zenon_H47 zenon_H48).
% 20.15/20.38 (* end of lemma zenon_L18_ *)
% 20.15/20.38 assert (zenon_L19_ : (~(hskp37)) -> (hskp37) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H49 zenon_H4a.
% 20.15/20.38 exact (zenon_H49 zenon_H4a).
% 20.15/20.38 (* end of lemma zenon_L19_ *)
% 20.15/20.38 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (~(hskp37)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H4b zenon_H4c zenon_H47 zenon_H49.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 20.15/20.38 generalize (zenon_H53 (a1081)). zenon_intro zenon_H54.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_Hb | zenon_intro zenon_H55 ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 20.15/20.38 exact (zenon_H57 zenon_H50).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ].
% 20.15/20.38 exact (zenon_H59 zenon_H4f).
% 20.15/20.38 exact (zenon_H51 zenon_H58).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H48 | zenon_intro zenon_H4a ].
% 20.15/20.38 exact (zenon_H47 zenon_H48).
% 20.15/20.38 exact (zenon_H49 zenon_H4a).
% 20.15/20.38 (* end of lemma zenon_L20_ *)
% 20.15/20.38 assert (zenon_L21_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H5a zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_H39 zenon_H3b.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.15/20.38 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.15/20.38 apply (zenon_L17_); trivial.
% 20.15/20.38 apply (zenon_L20_); trivial.
% 20.15/20.38 (* end of lemma zenon_L21_ *)
% 20.15/20.38 assert (zenon_L22_ : (~(hskp54)) -> (hskp54) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H5e zenon_H5f.
% 20.15/20.38 exact (zenon_H5e zenon_H5f).
% 20.15/20.38 (* end of lemma zenon_L22_ *)
% 20.15/20.38 assert (zenon_L23_ : (~(hskp47)) -> (hskp47) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H60 zenon_H61.
% 20.15/20.38 exact (zenon_H60 zenon_H61).
% 20.15/20.38 (* end of lemma zenon_L23_ *)
% 20.15/20.38 assert (zenon_L24_ : (forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H62 zenon_Hc zenon_H63 zenon_H64 zenon_H65.
% 20.15/20.38 generalize (zenon_H62 (a1040)). zenon_intro zenon_H66.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_Hb | zenon_intro zenon_H67 ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ].
% 20.15/20.38 exact (zenon_H69 zenon_H63).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ].
% 20.15/20.38 exact (zenon_H6b zenon_H64).
% 20.15/20.38 exact (zenon_H6a zenon_H65).
% 20.15/20.38 (* end of lemma zenon_L24_ *)
% 20.15/20.38 assert (zenon_L25_ : ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp54)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H6c zenon_H5e zenon_H60 zenon_Hc zenon_H63 zenon_H64 zenon_H65.
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5f | zenon_intro zenon_H6d ].
% 20.15/20.38 exact (zenon_H5e zenon_H5f).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 20.15/20.38 exact (zenon_H60 zenon_H61).
% 20.15/20.38 apply (zenon_L24_); trivial.
% 20.15/20.38 (* end of lemma zenon_L25_ *)
% 20.15/20.38 assert (zenon_L26_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (c2_1 (a1074)) -> (c3_1 (a1074)) -> (c0_1 (a1074)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H6e zenon_Hc zenon_H6f zenon_H70 zenon_H71.
% 20.15/20.38 generalize (zenon_H6e (a1074)). zenon_intro zenon_H72.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_Hb | zenon_intro zenon_H73 ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ].
% 20.15/20.38 exact (zenon_H75 zenon_H6f).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ].
% 20.15/20.38 exact (zenon_H77 zenon_H70).
% 20.15/20.38 exact (zenon_H76 zenon_H71).
% 20.15/20.38 (* end of lemma zenon_L26_ *)
% 20.15/20.38 assert (zenon_L27_ : (~(hskp53)) -> (hskp53) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H78 zenon_H79.
% 20.15/20.38 exact (zenon_H78 zenon_H79).
% 20.15/20.38 (* end of lemma zenon_L27_ *)
% 20.15/20.38 assert (zenon_L28_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1074)) -> (~(c1_1 (a1074))) -> (c2_1 (a1074)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H7a zenon_Hc zenon_H70 zenon_H7b zenon_H6f.
% 20.15/20.38 generalize (zenon_H7a (a1074)). zenon_intro zenon_H7c.
% 20.15/20.38 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_Hb | zenon_intro zenon_H7d ].
% 20.15/20.38 exact (zenon_Hb zenon_Hc).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H77 | zenon_intro zenon_H7e ].
% 20.15/20.38 exact (zenon_H77 zenon_H70).
% 20.15/20.38 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H7f | zenon_intro zenon_H75 ].
% 20.15/20.38 exact (zenon_H7b zenon_H7f).
% 20.15/20.38 exact (zenon_H75 zenon_H6f).
% 20.15/20.38 (* end of lemma zenon_L28_ *)
% 20.15/20.38 assert (zenon_L29_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1074)) -> (c2_1 (a1074)) -> (c0_1 (a1074)) -> False).
% 20.15/20.38 do 0 intro. intros zenon_H80 zenon_Hc zenon_H7a zenon_H70 zenon_H6f zenon_H71.
% 20.15/20.39 generalize (zenon_H80 (a1074)). zenon_intro zenon_H81.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H82 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H7b | zenon_intro zenon_H83 ].
% 20.15/20.39 apply (zenon_L28_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 20.15/20.39 exact (zenon_H76 zenon_H71).
% 20.15/20.39 exact (zenon_H75 zenon_H6f).
% 20.15/20.39 (* end of lemma zenon_L29_ *)
% 20.15/20.39 assert (zenon_L30_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1074)) -> (c0_1 (a1074)) -> (c3_1 (a1074)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_H6f zenon_H71 zenon_H70.
% 20.15/20.39 generalize (zenon_H84 (a1074)). zenon_intro zenon_H85.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H85); [ zenon_intro zenon_Hb | zenon_intro zenon_H86 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ].
% 20.15/20.39 exact (zenon_H75 zenon_H6f).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H76 | zenon_intro zenon_H77 ].
% 20.15/20.39 exact (zenon_H76 zenon_H71).
% 20.15/20.39 exact (zenon_H77 zenon_H70).
% 20.15/20.39 (* end of lemma zenon_L30_ *)
% 20.15/20.39 assert (zenon_L31_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (c0_1 (a1074)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1074)) -> (c2_1 (a1074)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H88 zenon_Hc zenon_H71 zenon_H7a zenon_H70 zenon_H6f.
% 20.15/20.39 generalize (zenon_H88 (a1074)). zenon_intro zenon_H89.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H89); [ zenon_intro zenon_Hb | zenon_intro zenon_H8a ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H76 | zenon_intro zenon_H8b ].
% 20.15/20.39 exact (zenon_H76 zenon_H71).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H7b | zenon_intro zenon_H75 ].
% 20.15/20.39 apply (zenon_L28_); trivial.
% 20.15/20.39 exact (zenon_H75 zenon_H6f).
% 20.15/20.39 (* end of lemma zenon_L31_ *)
% 20.15/20.39 assert (zenon_L32_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c0_1 (a1074)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1074)) -> (c2_1 (a1074)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H8c zenon_Hc zenon_H71 zenon_H7a zenon_H70 zenon_H6f.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L29_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L30_); trivial.
% 20.15/20.39 apply (zenon_L31_); trivial.
% 20.15/20.39 (* end of lemma zenon_L32_ *)
% 20.15/20.39 assert (zenon_L33_ : ((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H8e zenon_H8f zenon_H78 zenon_H8c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_Hc. zenon_intro zenon_H90.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H70. zenon_intro zenon_H91.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H71. zenon_intro zenon_H6f.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.15/20.39 apply (zenon_L26_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.15/20.39 exact (zenon_H78 zenon_H79).
% 20.15/20.39 apply (zenon_L32_); trivial.
% 20.15/20.39 (* end of lemma zenon_L33_ *)
% 20.15/20.39 assert (zenon_L34_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H60 zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.15/20.39 apply (zenon_L25_); trivial.
% 20.15/20.39 apply (zenon_L33_); trivial.
% 20.15/20.39 (* end of lemma zenon_L34_ *)
% 20.15/20.39 assert (zenon_L35_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H80 zenon_Hc zenon_H94 zenon_H95 zenon_H96.
% 20.15/20.39 generalize (zenon_H80 (a1073)). zenon_intro zenon_H97.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_Hb | zenon_intro zenon_H98 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ].
% 20.15/20.39 exact (zenon_H9a zenon_H94).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ].
% 20.15/20.39 exact (zenon_H9c zenon_H95).
% 20.15/20.39 exact (zenon_H9b zenon_H96).
% 20.15/20.39 (* end of lemma zenon_L35_ *)
% 20.15/20.39 assert (zenon_L36_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H88 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.15/20.39 generalize (zenon_H88 (a1073)). zenon_intro zenon_H9d.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_Hb | zenon_intro zenon_H9e ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9c | zenon_intro zenon_H9f ].
% 20.15/20.39 exact (zenon_H9c zenon_H95).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H9a | zenon_intro zenon_H9b ].
% 20.15/20.39 exact (zenon_H9a zenon_H94).
% 20.15/20.39 exact (zenon_H9b zenon_H96).
% 20.15/20.39 (* end of lemma zenon_L36_ *)
% 20.15/20.39 assert (zenon_L37_ : ((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H8e zenon_H8c zenon_H95 zenon_H94 zenon_H96.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_Hc. zenon_intro zenon_H90.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H70. zenon_intro zenon_H91.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H71. zenon_intro zenon_H6f.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L35_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L30_); trivial.
% 20.15/20.39 apply (zenon_L36_); trivial.
% 20.15/20.39 (* end of lemma zenon_L37_ *)
% 20.15/20.39 assert (zenon_L38_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp47)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_H8c zenon_H60 zenon_H63 zenon_H64 zenon_H65 zenon_H6c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.15/20.39 apply (zenon_L25_); trivial.
% 20.15/20.39 apply (zenon_L37_); trivial.
% 20.15/20.39 (* end of lemma zenon_L38_ *)
% 20.15/20.39 assert (zenon_L39_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> (~(hskp47)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H60 zenon_H8c zenon_H8f zenon_H93.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.15/20.39 apply (zenon_L34_); trivial.
% 20.15/20.39 apply (zenon_L38_); trivial.
% 20.15/20.39 (* end of lemma zenon_L39_ *)
% 20.15/20.39 assert (zenon_L40_ : (forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68)))))) -> (ndr1_0) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Ha4 zenon_Hc zenon_Ha5 zenon_Ha6 zenon_Ha7.
% 20.15/20.39 generalize (zenon_Ha4 (a1056)). zenon_intro zenon_Ha8.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Ha8); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha9 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 20.15/20.39 exact (zenon_Hab zenon_Ha5).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 20.15/20.39 exact (zenon_Had zenon_Ha6).
% 20.15/20.39 exact (zenon_Hac zenon_Ha7).
% 20.15/20.39 (* end of lemma zenon_L40_ *)
% 20.15/20.39 assert (zenon_L41_ : (~(hskp36)) -> (hskp36) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hae zenon_Haf.
% 20.15/20.39 exact (zenon_Hae zenon_Haf).
% 20.15/20.39 (* end of lemma zenon_L41_ *)
% 20.15/20.39 assert (zenon_L42_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))) -> (ndr1_0) -> (c1_1 (a1056)) -> (~(c0_1 (a1056))) -> (c3_1 (a1056)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hb0 zenon_Hc zenon_Ha5 zenon_Hb1 zenon_Ha7.
% 20.15/20.39 generalize (zenon_Hb0 (a1056)). zenon_intro zenon_Hb2.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb3 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hab | zenon_intro zenon_Hb4 ].
% 20.15/20.39 exact (zenon_Hab zenon_Ha5).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hac ].
% 20.15/20.39 exact (zenon_Hb1 zenon_Hb5).
% 20.15/20.39 exact (zenon_Hac zenon_Ha7).
% 20.15/20.39 (* end of lemma zenon_L42_ *)
% 20.15/20.39 assert (zenon_L43_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1056)) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_Ha6 zenon_Hb0 zenon_Ha5 zenon_Ha7.
% 20.15/20.39 generalize (zenon_H84 (a1056)). zenon_intro zenon_Hb6.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Had | zenon_intro zenon_Hb8 ].
% 20.15/20.39 exact (zenon_Had zenon_Ha6).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hac ].
% 20.15/20.39 apply (zenon_L42_); trivial.
% 20.15/20.39 exact (zenon_Hac zenon_Ha7).
% 20.15/20.39 (* end of lemma zenon_L43_ *)
% 20.15/20.39 assert (zenon_L44_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H8c zenon_Hc zenon_Hb0 zenon_Ha5 zenon_Ha7 zenon_Ha6.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 generalize (zenon_H80 (a1056)). zenon_intro zenon_Hb9.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb | zenon_intro zenon_Hba ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbb ].
% 20.15/20.39 exact (zenon_Hab zenon_Ha5).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Had ].
% 20.15/20.39 apply (zenon_L42_); trivial.
% 20.15/20.39 exact (zenon_Had zenon_Ha6).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L43_); trivial.
% 20.15/20.39 generalize (zenon_H88 (a1056)). zenon_intro zenon_Hbc.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hbd ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbe ].
% 20.15/20.39 apply (zenon_L42_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hab | zenon_intro zenon_Had ].
% 20.15/20.39 exact (zenon_Hab zenon_Ha5).
% 20.15/20.39 exact (zenon_Had zenon_Ha6).
% 20.15/20.39 (* end of lemma zenon_L44_ *)
% 20.15/20.39 assert (zenon_L45_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Hae zenon_H8c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ].
% 20.15/20.39 apply (zenon_L40_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 20.15/20.39 exact (zenon_Hae zenon_Haf).
% 20.15/20.39 apply (zenon_L44_); trivial.
% 20.15/20.39 (* end of lemma zenon_L45_ *)
% 20.15/20.39 assert (zenon_L46_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.15/20.39 apply (zenon_L39_); trivial.
% 20.15/20.39 apply (zenon_L45_); trivial.
% 20.15/20.39 (* end of lemma zenon_L46_ *)
% 20.15/20.39 assert (zenon_L47_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H49 zenon_H4c zenon_H5b zenon_Hc9.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.15/20.39 apply (zenon_L14_); trivial.
% 20.15/20.39 apply (zenon_L21_); trivial.
% 20.15/20.39 apply (zenon_L46_); trivial.
% 20.15/20.39 (* end of lemma zenon_L47_ *)
% 20.15/20.39 assert (zenon_L48_ : (~(hskp63)) -> (hskp63) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hca zenon_Hcb.
% 20.15/20.39 exact (zenon_Hca zenon_Hcb).
% 20.15/20.39 (* end of lemma zenon_L48_ *)
% 20.15/20.39 assert (zenon_L49_ : ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp62)) -> (~(hskp56)) -> (~(hskp63)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hd zenon_Hca.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ].
% 20.15/20.39 exact (zenon_Hcd zenon_Hcf).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_He | zenon_intro zenon_Hcb ].
% 20.15/20.39 exact (zenon_Hd zenon_He).
% 20.15/20.39 exact (zenon_Hca zenon_Hcb).
% 20.15/20.39 (* end of lemma zenon_L49_ *)
% 20.15/20.39 assert (zenon_L50_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> (~(hskp56)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hd0 zenon_Hf zenon_H9 zenon_Hd.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H13 ].
% 20.15/20.39 exact (zenon_H9 zenon_Ha).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_He ].
% 20.15/20.39 generalize (zenon_H14 (a1105)). zenon_intro zenon_Hd6.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd7 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ].
% 20.15/20.39 exact (zenon_Hd9 zenon_Hd5).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ].
% 20.15/20.39 exact (zenon_Hd3 zenon_Hdb).
% 20.15/20.39 exact (zenon_Hda zenon_Hd4).
% 20.15/20.39 exact (zenon_Hd zenon_He).
% 20.15/20.39 (* end of lemma zenon_L50_ *)
% 20.15/20.39 assert (zenon_L51_ : ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> (~(hskp62)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hdc zenon_Hf zenon_H9 zenon_Hcd zenon_Hd zenon_Hcc.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.15/20.39 apply (zenon_L49_); trivial.
% 20.15/20.39 apply (zenon_L50_); trivial.
% 20.15/20.39 (* end of lemma zenon_L51_ *)
% 20.15/20.39 assert (zenon_L52_ : (~(hskp10)) -> (hskp10) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hdd zenon_Hde.
% 20.15/20.39 exact (zenon_Hdd zenon_Hde).
% 20.15/20.39 (* end of lemma zenon_L52_ *)
% 20.15/20.39 assert (zenon_L53_ : (forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c1_1 (a1103)) -> (~(c0_1 (a1103))) -> (c2_1 (a1103)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hdf zenon_Hc zenon_He0 zenon_He1 zenon_He2.
% 20.15/20.39 generalize (zenon_Hdf (a1103)). zenon_intro zenon_He3.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He4 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He6 | zenon_intro zenon_He5 ].
% 20.15/20.39 exact (zenon_He6 zenon_He0).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ].
% 20.15/20.39 exact (zenon_He1 zenon_He8).
% 20.15/20.39 exact (zenon_He7 zenon_He2).
% 20.15/20.39 (* end of lemma zenon_L53_ *)
% 20.15/20.39 assert (zenon_L54_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1103)) -> (forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32)))))) -> (c1_1 (a1103)) -> (c3_1 (a1103)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_He2 zenon_Hdf zenon_He0 zenon_He9.
% 20.15/20.39 generalize (zenon_H84 (a1103)). zenon_intro zenon_Hea.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_Hb | zenon_intro zenon_Heb ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He7 | zenon_intro zenon_Hec ].
% 20.15/20.39 exact (zenon_He7 zenon_He2).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He1 | zenon_intro zenon_Hed ].
% 20.15/20.39 apply (zenon_L53_); trivial.
% 20.15/20.39 exact (zenon_Hed zenon_He9).
% 20.15/20.39 (* end of lemma zenon_L54_ *)
% 20.15/20.39 assert (zenon_L55_ : (~(hskp43)) -> (hskp43) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hee zenon_Hef.
% 20.15/20.39 exact (zenon_Hee zenon_Hef).
% 20.15/20.39 (* end of lemma zenon_L55_ *)
% 20.15/20.39 assert (zenon_L56_ : ((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_Hdd zenon_H8c zenon_Hee.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hc. zenon_intro zenon_Hf2.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_He2. zenon_intro zenon_Hf3.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_He9. zenon_intro zenon_He0.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf4 ].
% 20.15/20.39 exact (zenon_Hdd zenon_Hde).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hef ].
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 generalize (zenon_H80 (a1103)). zenon_intro zenon_Hf5.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf6 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ].
% 20.15/20.39 exact (zenon_He6 zenon_He0).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 20.15/20.39 apply (zenon_L53_); trivial.
% 20.15/20.39 exact (zenon_He7 zenon_He2).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L54_); trivial.
% 20.15/20.39 generalize (zenon_H88 (a1103)). zenon_intro zenon_Hf8.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf9 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfa ].
% 20.15/20.39 apply (zenon_L53_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_He6 | zenon_intro zenon_He7 ].
% 20.15/20.39 exact (zenon_He6 zenon_He0).
% 20.15/20.39 exact (zenon_He7 zenon_He2).
% 20.15/20.39 exact (zenon_Hee zenon_Hef).
% 20.15/20.39 (* end of lemma zenon_L56_ *)
% 20.15/20.39 assert (zenon_L57_ : ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp43)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hfb zenon_Hf1 zenon_Hee zenon_H8c zenon_Hdd zenon_Hcc zenon_Hd zenon_H9 zenon_Hf zenon_Hdc.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.15/20.39 apply (zenon_L51_); trivial.
% 20.15/20.39 apply (zenon_L56_); trivial.
% 20.15/20.39 (* end of lemma zenon_L57_ *)
% 20.15/20.39 assert (zenon_L58_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_Hdd zenon_H8c zenon_Hee zenon_Hf1 zenon_Hfb.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.15/20.39 apply (zenon_L57_); trivial.
% 20.15/20.39 apply (zenon_L10_); trivial.
% 20.15/20.39 (* end of lemma zenon_L58_ *)
% 20.15/20.39 assert (zenon_L59_ : (~(hskp12)) -> (hskp12) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hfc zenon_Hfd.
% 20.15/20.39 exact (zenon_Hfc zenon_Hfd).
% 20.15/20.39 (* end of lemma zenon_L59_ *)
% 20.15/20.39 assert (zenon_L60_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19)))))) -> (ndr1_0) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Hfe zenon_Hc zenon_Hff zenon_H100 zenon_H101.
% 20.15/20.39 generalize (zenon_Hfe (a1049)). zenon_intro zenon_H102.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_Hb | zenon_intro zenon_H103 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ].
% 20.15/20.39 exact (zenon_H105 zenon_Hff).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ].
% 20.15/20.39 exact (zenon_H107 zenon_H100).
% 20.15/20.39 exact (zenon_H106 zenon_H101).
% 20.15/20.39 (* end of lemma zenon_L60_ *)
% 20.15/20.39 assert (zenon_L61_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H80 zenon_Hc zenon_H100 zenon_H101 zenon_Hff.
% 20.15/20.39 generalize (zenon_H80 (a1049)). zenon_intro zenon_H108.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H108); [ zenon_intro zenon_Hb | zenon_intro zenon_H109 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H107 | zenon_intro zenon_H10a ].
% 20.15/20.39 exact (zenon_H107 zenon_H100).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H106 | zenon_intro zenon_H105 ].
% 20.15/20.39 exact (zenon_H106 zenon_H101).
% 20.15/20.39 exact (zenon_H105 zenon_Hff).
% 20.15/20.39 (* end of lemma zenon_L61_ *)
% 20.15/20.39 assert (zenon_L62_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c3_1 (a1037)) -> (~(c2_1 (a1037))) -> (c0_1 (a1037)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H10b zenon_Hc zenon_H10c zenon_H10d zenon_H10e.
% 20.15/20.39 generalize (zenon_H10b (a1037)). zenon_intro zenon_H10f.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_Hb | zenon_intro zenon_H110 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ].
% 20.15/20.39 exact (zenon_H112 zenon_H10c).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ].
% 20.15/20.39 exact (zenon_H10d zenon_H114).
% 20.15/20.39 exact (zenon_H113 zenon_H10e).
% 20.15/20.39 (* end of lemma zenon_L62_ *)
% 20.15/20.39 assert (zenon_L63_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_H10b zenon_H10c zenon_H10e.
% 20.15/20.39 generalize (zenon_H84 (a1037)). zenon_intro zenon_H115.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_Hb | zenon_intro zenon_H116 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H10d | zenon_intro zenon_H117 ].
% 20.15/20.39 apply (zenon_L62_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ].
% 20.15/20.39 exact (zenon_H113 zenon_H10e).
% 20.15/20.39 exact (zenon_H112 zenon_H10c).
% 20.15/20.39 (* end of lemma zenon_L63_ *)
% 20.15/20.39 assert (zenon_L64_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H88 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.15/20.39 generalize (zenon_H88 (a1049)). zenon_intro zenon_H118.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H118); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H106 | zenon_intro zenon_H11a ].
% 20.15/20.39 exact (zenon_H106 zenon_H101).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H107 | zenon_intro zenon_H105 ].
% 20.15/20.39 exact (zenon_H107 zenon_H100).
% 20.15/20.39 exact (zenon_H105 zenon_Hff).
% 20.15/20.39 (* end of lemma zenon_L64_ *)
% 20.15/20.39 assert (zenon_L65_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H8c zenon_H10e zenon_H10c zenon_H10b zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L61_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L63_); trivial.
% 20.15/20.39 apply (zenon_L64_); trivial.
% 20.15/20.39 (* end of lemma zenon_L65_ *)
% 20.15/20.39 assert (zenon_L66_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H11b zenon_H11c zenon_Hfc zenon_H8c zenon_H10e zenon_H10c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.15/20.39 exact (zenon_Hfc zenon_Hfd).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.15/20.39 apply (zenon_L60_); trivial.
% 20.15/20.39 apply (zenon_L65_); trivial.
% 20.15/20.39 (* end of lemma zenon_L66_ *)
% 20.15/20.39 assert (zenon_L67_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H120 zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hf1 zenon_H8c zenon_Hdd zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.15/20.39 apply (zenon_L58_); trivial.
% 20.15/20.39 apply (zenon_L66_); trivial.
% 20.15/20.39 (* end of lemma zenon_L67_ *)
% 20.15/20.39 assert (zenon_L68_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp37)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H4c zenon_H125 zenon_H126 zenon_H127 zenon_Hc zenon_H47 zenon_H49.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 20.15/20.39 generalize (zenon_H53 (a1034)). zenon_intro zenon_H128.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H128); [ zenon_intro zenon_Hb | zenon_intro zenon_H129 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ].
% 20.15/20.39 exact (zenon_H12b zenon_H127).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H12d | zenon_intro zenon_H12c ].
% 20.15/20.39 exact (zenon_H12d zenon_H126).
% 20.15/20.39 exact (zenon_H125 zenon_H12c).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H48 | zenon_intro zenon_H4a ].
% 20.15/20.39 exact (zenon_H47 zenon_H48).
% 20.15/20.39 exact (zenon_H49 zenon_H4a).
% 20.15/20.39 (* end of lemma zenon_L68_ *)
% 20.15/20.39 assert (zenon_L69_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H12e zenon_H12f zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hf1 zenon_H8c zenon_Hdd zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H47 zenon_H4c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.15/20.39 apply (zenon_L68_); trivial.
% 20.15/20.39 apply (zenon_L67_); trivial.
% 20.15/20.39 (* end of lemma zenon_L69_ *)
% 20.15/20.39 assert (zenon_L70_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_Hdd zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H12f.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.15/20.39 apply (zenon_L47_); trivial.
% 20.15/20.39 apply (zenon_L67_); trivial.
% 20.15/20.39 apply (zenon_L69_); trivial.
% 20.15/20.39 (* end of lemma zenon_L70_ *)
% 20.15/20.39 assert (zenon_L71_ : (~(hskp39)) -> (hskp39) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H133 zenon_H134.
% 20.15/20.39 exact (zenon_H133 zenon_H134).
% 20.15/20.39 (* end of lemma zenon_L71_ *)
% 20.15/20.39 assert (zenon_L72_ : (~(hskp18)) -> (hskp18) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H135 zenon_H136.
% 20.15/20.39 exact (zenon_H135 zenon_H136).
% 20.15/20.39 (* end of lemma zenon_L72_ *)
% 20.15/20.39 assert (zenon_L73_ : ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp39)) -> (~(hskp17)) -> (~(hskp18)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H137 zenon_H133 zenon_H138 zenon_H135.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H134 | zenon_intro zenon_H139 ].
% 20.15/20.39 exact (zenon_H133 zenon_H134).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13a | zenon_intro zenon_H136 ].
% 20.15/20.39 exact (zenon_H138 zenon_H13a).
% 20.15/20.39 exact (zenon_H135 zenon_H136).
% 20.15/20.39 (* end of lemma zenon_L73_ *)
% 20.15/20.39 assert (zenon_L74_ : (~(hskp40)) -> (hskp40) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H13b zenon_H13c.
% 20.15/20.39 exact (zenon_H13b zenon_H13c).
% 20.15/20.39 (* end of lemma zenon_L74_ *)
% 20.15/20.39 assert (zenon_L75_ : (~(hskp41)) -> (hskp41) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H13d zenon_H13e.
% 20.15/20.39 exact (zenon_H13d zenon_H13e).
% 20.15/20.39 (* end of lemma zenon_L75_ *)
% 20.15/20.39 assert (zenon_L76_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H13f zenon_Hc zenon_H140 zenon_H141 zenon_H142.
% 20.15/20.39 generalize (zenon_H13f (a1042)). zenon_intro zenon_H143.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_Hb | zenon_intro zenon_H144 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ].
% 20.15/20.39 exact (zenon_H146 zenon_H140).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ].
% 20.15/20.39 exact (zenon_H141 zenon_H148).
% 20.15/20.39 exact (zenon_H147 zenon_H142).
% 20.15/20.39 (* end of lemma zenon_L76_ *)
% 20.15/20.39 assert (zenon_L77_ : ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp40)) -> (~(hskp41)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H149 zenon_H13b zenon_H13d zenon_Hc zenon_H140 zenon_H141 zenon_H142.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H13c | zenon_intro zenon_H14a ].
% 20.15/20.39 exact (zenon_H13b zenon_H13c).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 20.15/20.39 exact (zenon_H13d zenon_H13e).
% 20.15/20.39 apply (zenon_L76_); trivial.
% 20.15/20.39 (* end of lemma zenon_L77_ *)
% 20.15/20.39 assert (zenon_L78_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29))))) -> (ndr1_0) -> (~(c1_1 (a1053))) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c0_1 (a1053)) -> (~(c2_1 (a1053))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H14b zenon_Hc zenon_H3c zenon_H14c zenon_H3e zenon_H3d.
% 20.15/20.39 generalize (zenon_H14b (a1053)). zenon_intro zenon_H14d.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_Hb | zenon_intro zenon_H14e ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H45 | zenon_intro zenon_H14f ].
% 20.15/20.39 exact (zenon_H3c zenon_H45).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H150 | zenon_intro zenon_H46 ].
% 20.15/20.39 generalize (zenon_H14c (a1053)). zenon_intro zenon_H151.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H151); [ zenon_intro zenon_Hb | zenon_intro zenon_H152 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H153 ].
% 20.15/20.39 exact (zenon_H44 zenon_H3e).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H154 | zenon_intro zenon_H46 ].
% 20.15/20.39 exact (zenon_H154 zenon_H150).
% 20.15/20.39 exact (zenon_H3d zenon_H46).
% 20.15/20.39 exact (zenon_H3d zenon_H46).
% 20.15/20.39 (* end of lemma zenon_L78_ *)
% 20.15/20.39 assert (zenon_L79_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H155 zenon_Hc zenon_H156 zenon_H157 zenon_H158.
% 20.15/20.39 generalize (zenon_H155 (a1083)). zenon_intro zenon_H159.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H159); [ zenon_intro zenon_Hb | zenon_intro zenon_H15a ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15c | zenon_intro zenon_H15b ].
% 20.15/20.39 exact (zenon_H15c zenon_H156).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ].
% 20.15/20.39 exact (zenon_H15e zenon_H157).
% 20.15/20.39 exact (zenon_H158 zenon_H15d).
% 20.15/20.39 (* end of lemma zenon_L79_ *)
% 20.15/20.39 assert (zenon_L80_ : (~(hskp57)) -> (hskp57) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H15f zenon_H160.
% 20.15/20.39 exact (zenon_H15f zenon_H160).
% 20.15/20.39 (* end of lemma zenon_L80_ *)
% 20.15/20.39 assert (zenon_L81_ : (~(hskp44)) -> (hskp44) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H161 zenon_H162.
% 20.15/20.39 exact (zenon_H161 zenon_H162).
% 20.15/20.39 (* end of lemma zenon_L81_ *)
% 20.15/20.39 assert (zenon_L82_ : (~(hskp45)) -> (hskp45) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H163 zenon_H164.
% 20.15/20.39 exact (zenon_H163 zenon_H164).
% 20.15/20.39 (* end of lemma zenon_L82_ *)
% 20.15/20.39 assert (zenon_L83_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp57)) -> (ndr1_0) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(c1_1 (a1053))) -> (c0_1 (a1053)) -> (~(c2_1 (a1053))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H165 zenon_H15f zenon_Hc zenon_H156 zenon_H157 zenon_H158 zenon_H3c zenon_H3e zenon_H3d zenon_H166 zenon_H161 zenon_H163.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.15/20.39 apply (zenon_L78_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.15/20.39 apply (zenon_L79_); trivial.
% 20.15/20.39 exact (zenon_H15f zenon_H160).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.15/20.39 exact (zenon_H161 zenon_H162).
% 20.15/20.39 exact (zenon_H163 zenon_H164).
% 20.15/20.39 (* end of lemma zenon_L83_ *)
% 20.15/20.39 assert (zenon_L84_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (c2_1 (a1085)) -> (c3_1 (a1085)) -> (c0_1 (a1085)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H6e zenon_Hc zenon_H169 zenon_H16a zenon_H16b.
% 20.15/20.39 generalize (zenon_H6e (a1085)). zenon_intro zenon_H16c.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_Hb | zenon_intro zenon_H16d ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ].
% 20.15/20.39 exact (zenon_H16f zenon_H169).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H171 | zenon_intro zenon_H170 ].
% 20.15/20.39 exact (zenon_H171 zenon_H16a).
% 20.15/20.39 exact (zenon_H170 zenon_H16b).
% 20.15/20.39 (* end of lemma zenon_L84_ *)
% 20.15/20.39 assert (zenon_L85_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1085)) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H7a zenon_Hc zenon_H16a zenon_H172 zenon_H169.
% 20.15/20.39 generalize (zenon_H7a (a1085)). zenon_intro zenon_H173.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_Hb | zenon_intro zenon_H174 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H171 | zenon_intro zenon_H175 ].
% 20.15/20.39 exact (zenon_H171 zenon_H16a).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H176 | zenon_intro zenon_H16f ].
% 20.15/20.39 exact (zenon_H172 zenon_H176).
% 20.15/20.39 exact (zenon_H16f zenon_H169).
% 20.15/20.39 (* end of lemma zenon_L85_ *)
% 20.15/20.39 assert (zenon_L86_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1085)) -> (c2_1 (a1085)) -> (c0_1 (a1085)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H80 zenon_Hc zenon_H7a zenon_H16a zenon_H169 zenon_H16b.
% 20.15/20.39 generalize (zenon_H80 (a1085)). zenon_intro zenon_H177.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_Hb | zenon_intro zenon_H178 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H172 | zenon_intro zenon_H179 ].
% 20.15/20.39 apply (zenon_L85_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ].
% 20.15/20.39 exact (zenon_H170 zenon_H16b).
% 20.15/20.39 exact (zenon_H16f zenon_H169).
% 20.15/20.39 (* end of lemma zenon_L86_ *)
% 20.15/20.39 assert (zenon_L87_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1085)) -> (c0_1 (a1085)) -> (c3_1 (a1085)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_H169 zenon_H16b zenon_H16a.
% 20.15/20.39 generalize (zenon_H84 (a1085)). zenon_intro zenon_H17a.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H17a); [ zenon_intro zenon_Hb | zenon_intro zenon_H17b ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16f | zenon_intro zenon_H17c ].
% 20.15/20.39 exact (zenon_H16f zenon_H169).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 20.15/20.39 exact (zenon_H170 zenon_H16b).
% 20.15/20.39 exact (zenon_H171 zenon_H16a).
% 20.15/20.39 (* end of lemma zenon_L87_ *)
% 20.15/20.39 assert (zenon_L88_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (c0_1 (a1085)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1085)) -> (c2_1 (a1085)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H88 zenon_Hc zenon_H16b zenon_H7a zenon_H16a zenon_H169.
% 20.15/20.39 generalize (zenon_H88 (a1085)). zenon_intro zenon_H17d.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_Hb | zenon_intro zenon_H17e ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H170 | zenon_intro zenon_H17f ].
% 20.15/20.39 exact (zenon_H170 zenon_H16b).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H172 | zenon_intro zenon_H16f ].
% 20.15/20.39 apply (zenon_L85_); trivial.
% 20.15/20.39 exact (zenon_H16f zenon_H169).
% 20.15/20.39 (* end of lemma zenon_L88_ *)
% 20.15/20.39 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H180 zenon_H8f zenon_H78 zenon_H8c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Hc. zenon_intro zenon_H181.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H169. zenon_intro zenon_H182.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H16b. zenon_intro zenon_H16a.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.15/20.39 apply (zenon_L84_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.15/20.39 exact (zenon_H78 zenon_H79).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L86_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L87_); trivial.
% 20.15/20.39 apply (zenon_L88_); trivial.
% 20.15/20.39 (* end of lemma zenon_L89_ *)
% 20.15/20.39 assert (zenon_L90_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c2_1 (a1053))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (ndr1_0) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H3d zenon_H3e zenon_H3c zenon_Hc zenon_H161 zenon_H163 zenon_H165.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.15/20.39 apply (zenon_L83_); trivial.
% 20.15/20.39 apply (zenon_L89_); trivial.
% 20.15/20.39 (* end of lemma zenon_L90_ *)
% 20.15/20.39 assert (zenon_L91_ : ((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H180 zenon_H8c zenon_H95 zenon_H94 zenon_H96.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Hc. zenon_intro zenon_H181.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H169. zenon_intro zenon_H182.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H16b. zenon_intro zenon_H16a.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L35_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L87_); trivial.
% 20.15/20.39 apply (zenon_L36_); trivial.
% 20.15/20.39 (* end of lemma zenon_L91_ *)
% 20.15/20.39 assert (zenon_L92_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c2_1 (a1053))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H3d zenon_H3e zenon_H3c zenon_H161 zenon_H163 zenon_H165.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.15/20.39 apply (zenon_L83_); trivial.
% 20.15/20.39 apply (zenon_L91_); trivial.
% 20.15/20.39 (* end of lemma zenon_L92_ *)
% 20.15/20.39 assert (zenon_L93_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H5a zenon_Ha3 zenon_H165 zenon_H163 zenon_H161 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.15/20.39 apply (zenon_L90_); trivial.
% 20.15/20.39 apply (zenon_L92_); trivial.
% 20.15/20.39 (* end of lemma zenon_L93_ *)
% 20.15/20.39 assert (zenon_L94_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (c2_1 (a1052)) -> (c3_1 (a1052)) -> (c0_1 (a1052)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H6e zenon_Hc zenon_H184 zenon_H185 zenon_H186.
% 20.15/20.39 generalize (zenon_H6e (a1052)). zenon_intro zenon_H187.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H187); [ zenon_intro zenon_Hb | zenon_intro zenon_H188 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ].
% 20.15/20.39 exact (zenon_H18a zenon_H184).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18c | zenon_intro zenon_H18b ].
% 20.15/20.39 exact (zenon_H18c zenon_H185).
% 20.15/20.39 exact (zenon_H18b zenon_H186).
% 20.15/20.39 (* end of lemma zenon_L94_ *)
% 20.15/20.39 assert (zenon_L95_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1052)) -> (~(c1_1 (a1052))) -> (c2_1 (a1052)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H7a zenon_Hc zenon_H185 zenon_H18d zenon_H184.
% 20.15/20.39 generalize (zenon_H7a (a1052)). zenon_intro zenon_H18e.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_Hb | zenon_intro zenon_H18f ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H18c | zenon_intro zenon_H190 ].
% 20.15/20.39 exact (zenon_H18c zenon_H185).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H191 | zenon_intro zenon_H18a ].
% 20.15/20.39 exact (zenon_H18d zenon_H191).
% 20.15/20.39 exact (zenon_H18a zenon_H184).
% 20.15/20.39 (* end of lemma zenon_L95_ *)
% 20.15/20.39 assert (zenon_L96_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1052)) -> (c2_1 (a1052)) -> (c0_1 (a1052)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H80 zenon_Hc zenon_H7a zenon_H185 zenon_H184 zenon_H186.
% 20.15/20.39 generalize (zenon_H80 (a1052)). zenon_intro zenon_H192.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H192); [ zenon_intro zenon_Hb | zenon_intro zenon_H193 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 20.15/20.39 apply (zenon_L95_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ].
% 20.15/20.39 exact (zenon_H18b zenon_H186).
% 20.15/20.39 exact (zenon_H18a zenon_H184).
% 20.15/20.39 (* end of lemma zenon_L96_ *)
% 20.15/20.39 assert (zenon_L97_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1052)) -> (c0_1 (a1052)) -> (c3_1 (a1052)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_H184 zenon_H186 zenon_H185.
% 20.15/20.39 generalize (zenon_H84 (a1052)). zenon_intro zenon_H195.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H195); [ zenon_intro zenon_Hb | zenon_intro zenon_H196 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H197 ].
% 20.15/20.39 exact (zenon_H18a zenon_H184).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H18b | zenon_intro zenon_H18c ].
% 20.15/20.39 exact (zenon_H18b zenon_H186).
% 20.15/20.39 exact (zenon_H18c zenon_H185).
% 20.15/20.39 (* end of lemma zenon_L97_ *)
% 20.15/20.39 assert (zenon_L98_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (c0_1 (a1052)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1052)) -> (c2_1 (a1052)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H88 zenon_Hc zenon_H186 zenon_H7a zenon_H185 zenon_H184.
% 20.15/20.39 generalize (zenon_H88 (a1052)). zenon_intro zenon_H198.
% 20.15/20.39 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_Hb | zenon_intro zenon_H199 ].
% 20.15/20.39 exact (zenon_Hb zenon_Hc).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18b | zenon_intro zenon_H19a ].
% 20.15/20.39 exact (zenon_H18b zenon_H186).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18a ].
% 20.15/20.39 apply (zenon_L95_); trivial.
% 20.15/20.39 exact (zenon_H18a zenon_H184).
% 20.15/20.39 (* end of lemma zenon_L98_ *)
% 20.15/20.39 assert (zenon_L99_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1052)) -> (c0_1 (a1052)) -> (c2_1 (a1052)) -> False).
% 20.15/20.39 do 0 intro. intros zenon_Ha0 zenon_H8c zenon_H185 zenon_H186 zenon_H184.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L35_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L97_); trivial.
% 20.15/20.39 apply (zenon_L36_); trivial.
% 20.15/20.39 (* end of lemma zenon_L99_ *)
% 20.15/20.39 assert (zenon_L100_ : ((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.15/20.39 do 0 intro. intros zenon_H19b zenon_Ha3 zenon_H8c zenon_H8f.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Hc. zenon_intro zenon_H19c.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H19d.
% 20.15/20.39 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H185. zenon_intro zenon_H184.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.15/20.39 apply (zenon_L94_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.15/20.39 exact (zenon_H78 zenon_H79).
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.15/20.39 apply (zenon_L96_); trivial.
% 20.15/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.15/20.39 apply (zenon_L97_); trivial.
% 20.15/20.39 apply (zenon_L98_); trivial.
% 20.15/20.39 apply (zenon_L99_); trivial.
% 20.15/20.39 (* end of lemma zenon_L100_ *)
% 20.23/20.39 assert (zenon_L101_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H161 zenon_H165 zenon_Ha3 zenon_Hc9.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.23/20.39 apply (zenon_L14_); trivial.
% 20.23/20.39 apply (zenon_L93_); trivial.
% 20.23/20.39 apply (zenon_L100_); trivial.
% 20.23/20.39 (* end of lemma zenon_L101_ *)
% 20.23/20.39 assert (zenon_L102_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (ndr1_0) -> (c3_1 (a1045)) -> (~(c2_1 (a1045))) -> (~(c0_1 (a1045))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H19f zenon_Hc zenon_H1a0 zenon_H1a1 zenon_H1a2.
% 20.23/20.39 generalize (zenon_H19f (a1045)). zenon_intro zenon_H1a3.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a4 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ].
% 20.23/20.39 exact (zenon_H1a6 zenon_H1a0).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ].
% 20.23/20.39 exact (zenon_H1a1 zenon_H1a8).
% 20.23/20.39 exact (zenon_H1a2 zenon_H1a7).
% 20.23/20.39 (* end of lemma zenon_L102_ *)
% 20.23/20.39 assert (zenon_L103_ : (forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1a9 zenon_Hc zenon_H19f zenon_H1a0 zenon_H1a2.
% 20.23/20.39 generalize (zenon_H1a9 (a1045)). zenon_intro zenon_H1aa.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1aa); [ zenon_intro zenon_Hb | zenon_intro zenon_H1ab ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1ac ].
% 20.23/20.39 apply (zenon_L102_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 20.23/20.39 exact (zenon_H1a6 zenon_H1a0).
% 20.23/20.39 exact (zenon_H1a2 zenon_H1a7).
% 20.23/20.39 (* end of lemma zenon_L103_ *)
% 20.23/20.39 assert (zenon_L104_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1051)) -> (c3_1 (a1051)) -> (~(c2_1 (a1051))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H14c zenon_Hc zenon_H1ad zenon_H1ae zenon_H1af.
% 20.23/20.39 generalize (zenon_H14c (a1051)). zenon_intro zenon_H1b0.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1b1 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ].
% 20.23/20.39 exact (zenon_H1b3 zenon_H1ad).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 20.23/20.39 exact (zenon_H1b5 zenon_H1ae).
% 20.23/20.39 exact (zenon_H1af zenon_H1b4).
% 20.23/20.39 (* end of lemma zenon_L104_ *)
% 20.23/20.39 assert (zenon_L105_ : (forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84)))))) -> (ndr1_0) -> (~(c2_1 (a1051))) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1b6 zenon_Hc zenon_H1af zenon_H14c zenon_H1ad zenon_H1b7.
% 20.23/20.39 generalize (zenon_H1b6 (a1051)). zenon_intro zenon_H1b8.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_Hb | zenon_intro zenon_H1b9 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1ba ].
% 20.23/20.39 exact (zenon_H1af zenon_H1b4).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bb ].
% 20.23/20.39 apply (zenon_L104_); trivial.
% 20.23/20.39 exact (zenon_H1bb zenon_H1b7).
% 20.23/20.39 (* end of lemma zenon_L105_ *)
% 20.23/20.39 assert (zenon_L106_ : (~(hskp35)) -> (hskp35) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1bc zenon_H1bd.
% 20.23/20.39 exact (zenon_H1bc zenon_H1bd).
% 20.23/20.39 (* end of lemma zenon_L106_ *)
% 20.23/20.39 assert (zenon_L107_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H155 zenon_Hc zenon_H19f zenon_H1a0 zenon_H1a2 zenon_H1be.
% 20.23/20.39 generalize (zenon_H155 (a1045)). zenon_intro zenon_H1bf.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_Hb | zenon_intro zenon_H1c0 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1c1 ].
% 20.23/20.39 apply (zenon_L102_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c2 ].
% 20.23/20.39 exact (zenon_H1a6 zenon_H1a0).
% 20.23/20.39 exact (zenon_H1be zenon_H1c2).
% 20.23/20.39 (* end of lemma zenon_L107_ *)
% 20.23/20.39 assert (zenon_L108_ : (~(hskp15)) -> (hskp15) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1c3 zenon_H1c4.
% 20.23/20.39 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.39 (* end of lemma zenon_L108_ *)
% 20.23/20.39 assert (zenon_L109_ : (~(hskp33)) -> (hskp33) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1c5 zenon_H1c6.
% 20.23/20.39 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.39 (* end of lemma zenon_L109_ *)
% 20.23/20.39 assert (zenon_L110_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp57)) -> (ndr1_0) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1c7 zenon_H15f zenon_Hc zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H1c8 zenon_H1b7 zenon_H1ad zenon_H1af zenon_H1bc zenon_H166 zenon_H1c3 zenon_H1c5.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.23/20.39 apply (zenon_L103_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.23/20.39 apply (zenon_L105_); trivial.
% 20.23/20.39 exact (zenon_H1bc zenon_H1bd).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.39 apply (zenon_L107_); trivial.
% 20.23/20.39 exact (zenon_H15f zenon_H160).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.23/20.39 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.39 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.39 (* end of lemma zenon_L110_ *)
% 20.23/20.39 assert (zenon_L111_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1045))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H166 zenon_H1be zenon_H1a0 zenon_H1a2 zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.39 apply (zenon_L110_); trivial.
% 20.23/20.39 apply (zenon_L91_); trivial.
% 20.23/20.39 (* end of lemma zenon_L111_ *)
% 20.23/20.39 assert (zenon_L112_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(c1_1 (a1045))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1cb zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H1a2 zenon_H1a0 zenon_H1be zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.39 apply (zenon_L110_); trivial.
% 20.23/20.39 apply (zenon_L89_); trivial.
% 20.23/20.39 apply (zenon_L111_); trivial.
% 20.23/20.39 (* end of lemma zenon_L112_ *)
% 20.23/20.39 assert (zenon_L113_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.23/20.39 apply (zenon_L101_); trivial.
% 20.23/20.39 apply (zenon_L112_); trivial.
% 20.23/20.39 (* end of lemma zenon_L113_ *)
% 20.23/20.39 assert (zenon_L114_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H6e zenon_Hc zenon_H10b zenon_H10c zenon_H10e.
% 20.23/20.39 generalize (zenon_H6e (a1037)). zenon_intro zenon_H1d2.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_Hb | zenon_intro zenon_H1d3 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H10d | zenon_intro zenon_H1d4 ].
% 20.23/20.39 apply (zenon_L62_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ].
% 20.23/20.39 exact (zenon_H112 zenon_H10c).
% 20.23/20.39 exact (zenon_H113 zenon_H10e).
% 20.23/20.39 (* end of lemma zenon_L114_ *)
% 20.23/20.39 assert (zenon_L115_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H7a zenon_Hc zenon_H157 zenon_H158 zenon_H156.
% 20.23/20.39 generalize (zenon_H7a (a1083)). zenon_intro zenon_H1d5.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_Hb | zenon_intro zenon_H1d6 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15e | zenon_intro zenon_H1d7 ].
% 20.23/20.39 exact (zenon_H15e zenon_H157).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ].
% 20.23/20.39 exact (zenon_H158 zenon_H15d).
% 20.23/20.39 exact (zenon_H15c zenon_H156).
% 20.23/20.39 (* end of lemma zenon_L115_ *)
% 20.23/20.39 assert (zenon_L116_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H8f zenon_H10e zenon_H10c zenon_H10b zenon_H78 zenon_Hc zenon_H157 zenon_H158 zenon_H156.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.39 apply (zenon_L114_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.39 exact (zenon_H78 zenon_H79).
% 20.23/20.39 apply (zenon_L115_); trivial.
% 20.23/20.39 (* end of lemma zenon_L116_ *)
% 20.23/20.39 assert (zenon_L117_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (ndr1_0) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1d8 zenon_Hc zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.39 generalize (zenon_H1d8 (a1037)). zenon_intro zenon_H1d9.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1da ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H113 | zenon_intro zenon_H1db ].
% 20.23/20.39 exact (zenon_H113 zenon_H10e).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H112 | zenon_intro zenon_H1dc ].
% 20.23/20.39 exact (zenon_H112 zenon_H10c).
% 20.23/20.39 exact (zenon_H124 zenon_H1dc).
% 20.23/20.39 (* end of lemma zenon_L117_ *)
% 20.23/20.39 assert (zenon_L118_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp38)) -> (ndr1_0) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1dd zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H8f zenon_H2f zenon_Hc zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.39 apply (zenon_L116_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.39 exact (zenon_H2f zenon_H30).
% 20.23/20.39 apply (zenon_L117_); trivial.
% 20.23/20.39 (* end of lemma zenon_L118_ *)
% 20.23/20.39 assert (zenon_L119_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H8c zenon_H10e zenon_H10c zenon_H10b zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.39 apply (zenon_L35_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.39 apply (zenon_L63_); trivial.
% 20.23/20.39 apply (zenon_L36_); trivial.
% 20.23/20.39 (* end of lemma zenon_L119_ *)
% 20.23/20.39 assert (zenon_L120_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (ndr1_0) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1d8 zenon_Hc zenon_H1df zenon_H1e0 zenon_H1e1.
% 20.23/20.39 generalize (zenon_H1d8 (a1044)). zenon_intro zenon_H1e2.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb | zenon_intro zenon_H1e3 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ].
% 20.23/20.39 exact (zenon_H1e5 zenon_H1df).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ].
% 20.23/20.39 exact (zenon_H1e7 zenon_H1e0).
% 20.23/20.39 exact (zenon_H1e1 zenon_H1e6).
% 20.23/20.39 (* end of lemma zenon_L120_ *)
% 20.23/20.39 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Ha0 zenon_H1dd zenon_H10c zenon_H10e zenon_H8c zenon_H2f zenon_H1df zenon_H1e0 zenon_H1e1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.39 apply (zenon_L119_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.39 exact (zenon_H2f zenon_H30).
% 20.23/20.39 apply (zenon_L120_); trivial.
% 20.23/20.39 (* end of lemma zenon_L121_ *)
% 20.23/20.39 assert (zenon_L122_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(hskp38)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1e8 zenon_Ha3 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H10e zenon_H10c zenon_H2f zenon_H124 zenon_H1dd.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.39 apply (zenon_L118_); trivial.
% 20.23/20.39 apply (zenon_L121_); trivial.
% 20.23/20.39 (* end of lemma zenon_L122_ *)
% 20.23/20.39 assert (zenon_L123_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H10e zenon_H10c zenon_H124 zenon_H1dd zenon_H149 zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.39 apply (zenon_L73_); trivial.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.23/20.39 apply (zenon_L77_); trivial.
% 20.23/20.39 apply (zenon_L113_); trivial.
% 20.23/20.39 apply (zenon_L122_); trivial.
% 20.23/20.39 (* end of lemma zenon_L123_ *)
% 20.23/20.39 assert (zenon_L124_ : (~(hskp42)) -> (hskp42) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1f1 zenon_H1f2.
% 20.23/20.39 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.39 (* end of lemma zenon_L124_ *)
% 20.23/20.39 assert (zenon_L125_ : (forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c1_1 (a1056)) -> (~(c0_1 (a1056))) -> (c2_1 (a1056)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hdf zenon_Hc zenon_Ha5 zenon_Hb1 zenon_Ha6.
% 20.23/20.39 generalize (zenon_Hdf (a1056)). zenon_intro zenon_H1f3.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f4 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hab | zenon_intro zenon_H1f5 ].
% 20.23/20.39 exact (zenon_Hab zenon_Ha5).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Had ].
% 20.23/20.39 exact (zenon_Hb1 zenon_Hb5).
% 20.23/20.39 exact (zenon_Had zenon_Ha6).
% 20.23/20.39 (* end of lemma zenon_L125_ *)
% 20.23/20.39 assert (zenon_L126_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (c1_1 (a1056)) -> (forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32)))))) -> (c2_1 (a1056)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H80 zenon_Hc zenon_Ha5 zenon_Hdf zenon_Ha6.
% 20.23/20.39 generalize (zenon_H80 (a1056)). zenon_intro zenon_Hb9.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb | zenon_intro zenon_Hba ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbb ].
% 20.23/20.39 exact (zenon_Hab zenon_Ha5).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Had ].
% 20.23/20.39 apply (zenon_L125_); trivial.
% 20.23/20.39 exact (zenon_Had zenon_Ha6).
% 20.23/20.39 (* end of lemma zenon_L126_ *)
% 20.23/20.39 assert (zenon_L127_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1083)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_H156 zenon_H1f6 zenon_H158 zenon_H157.
% 20.23/20.39 generalize (zenon_H84 (a1083)). zenon_intro zenon_H1f7.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f8 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H15c | zenon_intro zenon_H1f9 ].
% 20.23/20.39 exact (zenon_H15c zenon_H156).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fa | zenon_intro zenon_H15e ].
% 20.23/20.39 generalize (zenon_H1f6 (a1083)). zenon_intro zenon_H1fb.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fc ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1fd ].
% 20.23/20.39 exact (zenon_H158 zenon_H15d).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1fe | zenon_intro zenon_H15c ].
% 20.23/20.39 exact (zenon_H1fa zenon_H1fe).
% 20.23/20.39 exact (zenon_H15c zenon_H156).
% 20.23/20.39 exact (zenon_H15e zenon_H157).
% 20.23/20.39 (* end of lemma zenon_L127_ *)
% 20.23/20.39 assert (zenon_L128_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32)))))) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H88 zenon_Hc zenon_Hdf zenon_Ha5 zenon_Ha6.
% 20.23/20.39 generalize (zenon_H88 (a1056)). zenon_intro zenon_Hbc.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hbd ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbe ].
% 20.23/20.39 apply (zenon_L125_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hab | zenon_intro zenon_Had ].
% 20.23/20.39 exact (zenon_Hab zenon_Ha5).
% 20.23/20.39 exact (zenon_Had zenon_Ha6).
% 20.23/20.39 (* end of lemma zenon_L128_ *)
% 20.23/20.39 assert (zenon_L129_ : ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (ndr1_0) -> (c2_1 (a1083)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hf1 zenon_Hdd zenon_Ha6 zenon_Ha5 zenon_Hc zenon_H156 zenon_H1f6 zenon_H158 zenon_H157 zenon_H8c zenon_Hee.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf4 ].
% 20.23/20.39 exact (zenon_Hdd zenon_Hde).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hef ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.39 apply (zenon_L126_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.39 apply (zenon_L127_); trivial.
% 20.23/20.39 apply (zenon_L128_); trivial.
% 20.23/20.39 exact (zenon_Hee zenon_Hef).
% 20.23/20.39 (* end of lemma zenon_L129_ *)
% 20.23/20.39 assert (zenon_L130_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))) -> (ndr1_0) -> (c1_1 (a1105)) -> (c3_1 (a1105)) -> (~(c2_1 (a1105))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1ff zenon_Hc zenon_Hd5 zenon_Hd4 zenon_Hd3.
% 20.23/20.39 generalize (zenon_H1ff (a1105)). zenon_intro zenon_H200.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_Hb | zenon_intro zenon_H201 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H202 ].
% 20.23/20.39 exact (zenon_Hd9 zenon_Hd5).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 20.23/20.39 exact (zenon_Hda zenon_Hd4).
% 20.23/20.39 exact (zenon_Hd3 zenon_Hdb).
% 20.23/20.39 (* end of lemma zenon_L130_ *)
% 20.23/20.39 assert (zenon_L131_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (~(hskp43)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hd0 zenon_H203 zenon_H1f1 zenon_Hee zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_Ha5 zenon_Ha6 zenon_Hdd zenon_Hf1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.39 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.39 apply (zenon_L129_); trivial.
% 20.23/20.39 apply (zenon_L130_); trivial.
% 20.23/20.39 (* end of lemma zenon_L131_ *)
% 20.23/20.39 assert (zenon_L132_ : ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp43)) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hfb zenon_Hcc zenon_Hd zenon_H1f1 zenon_Hf1 zenon_Hee zenon_Ha5 zenon_Ha6 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_Hdd zenon_H203 zenon_Hdc.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.39 apply (zenon_L49_); trivial.
% 20.23/20.39 apply (zenon_L131_); trivial.
% 20.23/20.39 apply (zenon_L56_); trivial.
% 20.23/20.39 (* end of lemma zenon_L132_ *)
% 20.23/20.39 assert (zenon_L133_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_Hcc zenon_Hfb.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.39 apply (zenon_L132_); trivial.
% 20.23/20.39 apply (zenon_L10_); trivial.
% 20.23/20.39 (* end of lemma zenon_L133_ *)
% 20.23/20.39 assert (zenon_L134_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H8f zenon_H8c zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.39 apply (zenon_L39_); trivial.
% 20.23/20.39 apply (zenon_L133_); trivial.
% 20.23/20.39 (* end of lemma zenon_L134_ *)
% 20.23/20.39 assert (zenon_L135_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(hskp12)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H121 zenon_H11c zenon_H10c zenon_H10e zenon_Hfc zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_Hfb zenon_Hcc zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc5.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.39 apply (zenon_L134_); trivial.
% 20.23/20.39 apply (zenon_L66_); trivial.
% 20.23/20.39 (* end of lemma zenon_L135_ *)
% 20.23/20.39 assert (zenon_L136_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (c0_1 (a1046)) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H205 zenon_Hc zenon_H206 zenon_H207 zenon_H208.
% 20.23/20.39 generalize (zenon_H205 (a1046)). zenon_intro zenon_H209.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_Hb | zenon_intro zenon_H20a ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ].
% 20.23/20.39 exact (zenon_H20c zenon_H206).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ].
% 20.23/20.39 exact (zenon_H207 zenon_H20e).
% 20.23/20.39 exact (zenon_H20d zenon_H208).
% 20.23/20.39 (* end of lemma zenon_L136_ *)
% 20.23/20.39 assert (zenon_L137_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H20f zenon_Hc zenon_H124 zenon_H10e zenon_H10c.
% 20.23/20.39 generalize (zenon_H20f (a1037)). zenon_intro zenon_H210.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_Hb | zenon_intro zenon_H211 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1dc | zenon_intro zenon_H117 ].
% 20.23/20.39 exact (zenon_H124 zenon_H1dc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ].
% 20.23/20.39 exact (zenon_H113 zenon_H10e).
% 20.23/20.39 exact (zenon_H112 zenon_H10c).
% 20.23/20.39 (* end of lemma zenon_L137_ *)
% 20.23/20.39 assert (zenon_L138_ : (~(hskp4)) -> (hskp4) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H212 zenon_H213.
% 20.23/20.39 exact (zenon_H212 zenon_H213).
% 20.23/20.39 (* end of lemma zenon_L138_ *)
% 20.23/20.39 assert (zenon_L139_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> (~(hskp4)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H214 zenon_H215 zenon_H10c zenon_H10e zenon_H124 zenon_H212.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.23/20.39 apply (zenon_L136_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.23/20.39 apply (zenon_L137_); trivial.
% 20.23/20.39 exact (zenon_H212 zenon_H213).
% 20.23/20.39 (* end of lemma zenon_L139_ *)
% 20.23/20.39 assert (zenon_L140_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1037))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp12)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H124 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_Hfc zenon_H10e zenon_H10c zenon_H11c zenon_H121.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.39 apply (zenon_L135_); trivial.
% 20.23/20.39 apply (zenon_L139_); trivial.
% 20.23/20.39 (* end of lemma zenon_L140_ *)
% 20.23/20.39 assert (zenon_L141_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.39 apply (zenon_L123_); trivial.
% 20.23/20.39 apply (zenon_L140_); trivial.
% 20.23/20.39 (* end of lemma zenon_L141_ *)
% 20.23/20.39 assert (zenon_L142_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.39 apply (zenon_L68_); trivial.
% 20.23/20.39 apply (zenon_L141_); trivial.
% 20.23/20.39 (* end of lemma zenon_L142_ *)
% 20.23/20.39 assert (zenon_L143_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c3_1 (a1033)) -> (~(c2_1 (a1033))) -> (c0_1 (a1033)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H10b zenon_Hc zenon_H21a zenon_H21b zenon_H21c.
% 20.23/20.39 generalize (zenon_H10b (a1033)). zenon_intro zenon_H21d.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H21d); [ zenon_intro zenon_Hb | zenon_intro zenon_H21e ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H220 | zenon_intro zenon_H21f ].
% 20.23/20.39 exact (zenon_H220 zenon_H21a).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ].
% 20.23/20.39 exact (zenon_H21b zenon_H222).
% 20.23/20.39 exact (zenon_H221 zenon_H21c).
% 20.23/20.39 (* end of lemma zenon_L143_ *)
% 20.23/20.39 assert (zenon_L144_ : (forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (c3_1 (a1033)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H62 zenon_Hc zenon_H21a zenon_H10b zenon_H21c zenon_H223.
% 20.23/20.39 generalize (zenon_H62 (a1033)). zenon_intro zenon_H224.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_Hb | zenon_intro zenon_H225 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H220 | zenon_intro zenon_H226 ].
% 20.23/20.39 exact (zenon_H220 zenon_H21a).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21b | zenon_intro zenon_H227 ].
% 20.23/20.39 apply (zenon_L143_); trivial.
% 20.23/20.39 exact (zenon_H227 zenon_H223).
% 20.23/20.39 (* end of lemma zenon_L144_ *)
% 20.23/20.39 assert (zenon_L145_ : ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp54)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1033)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H6c zenon_H5e zenon_H60 zenon_Hc zenon_H21a zenon_H10b zenon_H21c zenon_H223.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5f | zenon_intro zenon_H6d ].
% 20.23/20.39 exact (zenon_H5e zenon_H5f).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 20.23/20.39 exact (zenon_H60 zenon_H61).
% 20.23/20.39 apply (zenon_L144_); trivial.
% 20.23/20.39 (* end of lemma zenon_L145_ *)
% 20.23/20.39 assert (zenon_L146_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp38)) -> (ndr1_0) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1dd zenon_H223 zenon_H21c zenon_H21a zenon_H60 zenon_H5e zenon_H6c zenon_H2f zenon_Hc zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.39 apply (zenon_L145_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.39 exact (zenon_H2f zenon_H30).
% 20.23/20.39 apply (zenon_L117_); trivial.
% 20.23/20.39 (* end of lemma zenon_L146_ *)
% 20.23/20.39 assert (zenon_L147_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (ndr1_0) -> (~(hskp47)) -> (~(hskp38)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_Hc zenon_H60 zenon_H2f zenon_H10e zenon_H10c zenon_H124 zenon_H1dd.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.39 apply (zenon_L146_); trivial.
% 20.23/20.39 apply (zenon_L33_); trivial.
% 20.23/20.39 (* end of lemma zenon_L147_ *)
% 20.23/20.39 assert (zenon_L148_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1037))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(hskp38)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Ha3 zenon_H1dd zenon_H124 zenon_H10c zenon_H10e zenon_H2f zenon_H60 zenon_Hc zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.39 apply (zenon_L147_); trivial.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.39 apply (zenon_L146_); trivial.
% 20.23/20.39 apply (zenon_L37_); trivial.
% 20.23/20.39 (* end of lemma zenon_L148_ *)
% 20.23/20.39 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H11b zenon_H1dd zenon_H8c zenon_H2f zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.39 apply (zenon_L65_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.39 exact (zenon_H2f zenon_H30).
% 20.23/20.39 apply (zenon_L117_); trivial.
% 20.23/20.39 (* end of lemma zenon_L149_ *)
% 20.23/20.39 assert (zenon_L150_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H84 zenon_Hc zenon_H10b zenon_H21a zenon_H21c.
% 20.23/20.39 generalize (zenon_H84 (a1033)). zenon_intro zenon_H228.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_Hb | zenon_intro zenon_H229 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21b | zenon_intro zenon_H22a ].
% 20.23/20.39 apply (zenon_L143_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H221 | zenon_intro zenon_H220 ].
% 20.23/20.39 exact (zenon_H221 zenon_H21c).
% 20.23/20.39 exact (zenon_H220 zenon_H21a).
% 20.23/20.39 (* end of lemma zenon_L150_ *)
% 20.23/20.39 assert (zenon_L151_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H8c zenon_H21c zenon_H21a zenon_H10b zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.39 apply (zenon_L61_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.39 apply (zenon_L150_); trivial.
% 20.23/20.39 apply (zenon_L64_); trivial.
% 20.23/20.39 (* end of lemma zenon_L151_ *)
% 20.23/20.39 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H11b zenon_H11c zenon_Hfc zenon_H8c zenon_H21c zenon_H21a.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.23/20.39 exact (zenon_Hfc zenon_Hfd).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.23/20.39 apply (zenon_L60_); trivial.
% 20.23/20.39 apply (zenon_L151_); trivial.
% 20.23/20.39 (* end of lemma zenon_L152_ *)
% 20.23/20.39 assert (zenon_L153_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp12)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H121 zenon_H11c zenon_H21a zenon_H21c zenon_Hfc zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_Hfb zenon_Hcc zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc5.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.39 apply (zenon_L134_); trivial.
% 20.23/20.39 apply (zenon_L152_); trivial.
% 20.23/20.39 (* end of lemma zenon_L153_ *)
% 20.23/20.39 assert (zenon_L154_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp12)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_Hfc zenon_H21c zenon_H21a zenon_H11c zenon_H121.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.39 apply (zenon_L153_); trivial.
% 20.23/20.39 apply (zenon_L139_); trivial.
% 20.23/20.39 (* end of lemma zenon_L154_ *)
% 20.23/20.39 assert (zenon_L155_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hfc zenon_H11c zenon_H121 zenon_Ha3 zenon_H1dd zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hfb zenon_Hcc zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc5 zenon_H212 zenon_H215 zenon_H219.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.39 apply (zenon_L148_); trivial.
% 20.23/20.39 apply (zenon_L133_); trivial.
% 20.23/20.39 apply (zenon_L149_); trivial.
% 20.23/20.39 apply (zenon_L139_); trivial.
% 20.23/20.39 apply (zenon_L154_); trivial.
% 20.23/20.39 (* end of lemma zenon_L155_ *)
% 20.23/20.39 assert (zenon_L156_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hfc zenon_H11c zenon_H121 zenon_Ha3 zenon_H1dd zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hfb zenon_Hcc zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.39 apply (zenon_L68_); trivial.
% 20.23/20.39 apply (zenon_L155_); trivial.
% 20.23/20.39 (* end of lemma zenon_L156_ *)
% 20.23/20.39 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H22b zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H219 zenon_H215 zenon_H212 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H1dd zenon_H121 zenon_H11c zenon_Hfc zenon_H12f.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.23/20.39 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.39 apply (zenon_L47_); trivial.
% 20.23/20.39 apply (zenon_L155_); trivial.
% 20.23/20.39 apply (zenon_L156_); trivial.
% 20.23/20.39 (* end of lemma zenon_L157_ *)
% 20.23/20.39 assert (zenon_L158_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H7a zenon_Hc zenon_H22e zenon_H22f zenon_H230.
% 20.23/20.39 generalize (zenon_H7a (a1031)). zenon_intro zenon_H231.
% 20.23/20.39 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_Hb | zenon_intro zenon_H232 ].
% 20.23/20.39 exact (zenon_Hb zenon_Hc).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H234 | zenon_intro zenon_H233 ].
% 20.23/20.39 exact (zenon_H234 zenon_H22e).
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ].
% 20.23/20.39 exact (zenon_H22f zenon_H236).
% 20.23/20.39 exact (zenon_H235 zenon_H230).
% 20.23/20.39 (* end of lemma zenon_L158_ *)
% 20.23/20.39 assert (zenon_L159_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H8f zenon_H10e zenon_H10c zenon_H10b zenon_H78 zenon_Hc zenon_H22e zenon_H22f zenon_H230.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.39 apply (zenon_L114_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.39 exact (zenon_H78 zenon_H79).
% 20.23/20.39 apply (zenon_L158_); trivial.
% 20.23/20.39 (* end of lemma zenon_L159_ *)
% 20.23/20.39 assert (zenon_L160_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp38)) -> (ndr1_0) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.39 do 0 intro. intros zenon_H1dd zenon_H230 zenon_H22f zenon_H22e zenon_H78 zenon_H8f zenon_H2f zenon_Hc zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.39 apply (zenon_L159_); trivial.
% 20.23/20.39 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.40 exact (zenon_H2f zenon_H30).
% 20.23/20.40 apply (zenon_L117_); trivial.
% 20.23/20.40 (* end of lemma zenon_L160_ *)
% 20.23/20.40 assert (zenon_L161_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Ha0 zenon_H1dd zenon_H8c zenon_H2f zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.40 apply (zenon_L119_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.40 exact (zenon_H2f zenon_H30).
% 20.23/20.40 apply (zenon_L117_); trivial.
% 20.23/20.40 (* end of lemma zenon_L161_ *)
% 20.23/20.40 assert (zenon_L162_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (ndr1_0) -> (~(hskp38)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Ha3 zenon_H8c zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H10e zenon_H10c zenon_Hc zenon_H2f zenon_H124 zenon_H1dd.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.40 apply (zenon_L160_); trivial.
% 20.23/20.40 apply (zenon_L161_); trivial.
% 20.23/20.40 (* end of lemma zenon_L162_ *)
% 20.23/20.40 assert (zenon_L163_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.40 apply (zenon_L162_); trivial.
% 20.23/20.40 apply (zenon_L140_); trivial.
% 20.23/20.40 (* end of lemma zenon_L163_ *)
% 20.23/20.40 assert (zenon_L164_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.40 apply (zenon_L68_); trivial.
% 20.23/20.40 apply (zenon_L163_); trivial.
% 20.23/20.40 (* end of lemma zenon_L164_ *)
% 20.23/20.40 assert (zenon_L165_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H237 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H1dd zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hcc zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H212 zenon_H215 zenon_H219 zenon_H12f.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.40 apply (zenon_L47_); trivial.
% 20.23/20.40 apply (zenon_L163_); trivial.
% 20.23/20.40 apply (zenon_L164_); trivial.
% 20.23/20.40 (* end of lemma zenon_L165_ *)
% 20.23/20.40 assert (zenon_L166_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H23a zenon_H23b zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hcc zenon_Hf1 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H23c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.40 apply (zenon_L47_); trivial.
% 20.23/20.40 apply (zenon_L141_); trivial.
% 20.23/20.40 apply (zenon_L142_); trivial.
% 20.23/20.40 apply (zenon_L157_); trivial.
% 20.23/20.40 apply (zenon_L165_); trivial.
% 20.23/20.40 (* end of lemma zenon_L166_ *)
% 20.23/20.40 assert (zenon_L167_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H23f zenon_Hc zenon_H240 zenon_H241 zenon_H242.
% 20.23/20.40 generalize (zenon_H23f (a1082)). zenon_intro zenon_H243.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_Hb | zenon_intro zenon_H244 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H246 | zenon_intro zenon_H245 ].
% 20.23/20.40 exact (zenon_H240 zenon_H246).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H248 | zenon_intro zenon_H247 ].
% 20.23/20.40 exact (zenon_H241 zenon_H248).
% 20.23/20.40 exact (zenon_H242 zenon_H247).
% 20.23/20.40 (* end of lemma zenon_L167_ *)
% 20.23/20.40 assert (zenon_L168_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (ndr1_0) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H249 zenon_Hdd zenon_H242 zenon_H241 zenon_H240 zenon_Hc.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.40 apply (zenon_L167_); trivial.
% 20.23/20.40 exact (zenon_Hdd zenon_Hde).
% 20.23/20.40 (* end of lemma zenon_L168_ *)
% 20.23/20.40 assert (zenon_L169_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a1081))) -> (c1_1 (a1081)) -> (c3_1 (a1081)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H24a zenon_Hc zenon_H24b zenon_H4f zenon_H50.
% 20.23/20.40 generalize (zenon_H24a (a1081)). zenon_intro zenon_H24c.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_H24d ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24f | zenon_intro zenon_H24e ].
% 20.23/20.40 exact (zenon_H24b zenon_H24f).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H59 | zenon_intro zenon_H57 ].
% 20.23/20.40 exact (zenon_H59 zenon_H4f).
% 20.23/20.40 exact (zenon_H57 zenon_H50).
% 20.23/20.40 (* end of lemma zenon_L169_ *)
% 20.23/20.40 assert (zenon_L170_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1081))) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1081)) -> (c3_1 (a1081)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H250 zenon_Hc zenon_H51 zenon_H24a zenon_H4f zenon_H50.
% 20.23/20.40 generalize (zenon_H250 (a1081)). zenon_intro zenon_H251.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_Hb | zenon_intro zenon_H252 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H58 | zenon_intro zenon_H253 ].
% 20.23/20.40 exact (zenon_H51 zenon_H58).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H24b | zenon_intro zenon_H57 ].
% 20.23/20.40 apply (zenon_L169_); trivial.
% 20.23/20.40 exact (zenon_H57 zenon_H50).
% 20.23/20.40 (* end of lemma zenon_L170_ *)
% 20.23/20.40 assert (zenon_L171_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(c3_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H23f zenon_Hc zenon_H254 zenon_H255 zenon_H256.
% 20.23/20.40 generalize (zenon_H23f (a1080)). zenon_intro zenon_H257.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H257); [ zenon_intro zenon_Hb | zenon_intro zenon_H258 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ].
% 20.23/20.40 exact (zenon_H254 zenon_H25a).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25c | zenon_intro zenon_H25b ].
% 20.23/20.40 exact (zenon_H255 zenon_H25c).
% 20.23/20.40 exact (zenon_H256 zenon_H25b).
% 20.23/20.40 (* end of lemma zenon_L171_ *)
% 20.23/20.40 assert (zenon_L172_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H25d zenon_Hc zenon_H23f zenon_H255 zenon_H256 zenon_H25e.
% 20.23/20.40 generalize (zenon_H25d (a1080)). zenon_intro zenon_H25f.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_Hb | zenon_intro zenon_H260 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H254 | zenon_intro zenon_H261 ].
% 20.23/20.40 apply (zenon_L171_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H262 | zenon_intro zenon_H25c ].
% 20.23/20.40 exact (zenon_H25e zenon_H262).
% 20.23/20.40 exact (zenon_H255 zenon_H25c).
% 20.23/20.40 (* end of lemma zenon_L172_ *)
% 20.23/20.40 assert (zenon_L173_ : (~(hskp58)) -> (hskp58) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H263 zenon_H264.
% 20.23/20.40 exact (zenon_H263 zenon_H264).
% 20.23/20.40 (* end of lemma zenon_L173_ *)
% 20.23/20.40 assert (zenon_L174_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H265 zenon_H50 zenon_H4f zenon_H51 zenon_H250 zenon_H25e zenon_H256 zenon_H255 zenon_H23f zenon_Hc zenon_H263.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.40 apply (zenon_L170_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.40 apply (zenon_L172_); trivial.
% 20.23/20.40 exact (zenon_H263 zenon_H264).
% 20.23/20.40 (* end of lemma zenon_L174_ *)
% 20.23/20.40 assert (zenon_L175_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a1042))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H267 zenon_Hc zenon_H268 zenon_H141 zenon_H142.
% 20.23/20.40 generalize (zenon_H267 (a1042)). zenon_intro zenon_H269.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_Hb | zenon_intro zenon_H26a ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H26b | zenon_intro zenon_H145 ].
% 20.23/20.40 exact (zenon_H268 zenon_H26b).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ].
% 20.23/20.40 exact (zenon_H141 zenon_H148).
% 20.23/20.40 exact (zenon_H147 zenon_H142).
% 20.23/20.40 (* end of lemma zenon_L175_ *)
% 20.23/20.40 assert (zenon_L176_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1042)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H26c zenon_Hc zenon_H140 zenon_H267 zenon_H141 zenon_H142.
% 20.23/20.40 generalize (zenon_H26c (a1042)). zenon_intro zenon_H26d.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_Hb | zenon_intro zenon_H26e ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H146 | zenon_intro zenon_H26f ].
% 20.23/20.40 exact (zenon_H146 zenon_H140).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H268 | zenon_intro zenon_H147 ].
% 20.23/20.40 apply (zenon_L175_); trivial.
% 20.23/20.40 exact (zenon_H147 zenon_H142).
% 20.23/20.40 (* end of lemma zenon_L176_ *)
% 20.23/20.40 assert (zenon_L177_ : (forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H270 zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.40 generalize (zenon_H270 (a1080)). zenon_intro zenon_H271.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_Hb | zenon_intro zenon_H272 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ].
% 20.23/20.40 exact (zenon_H256 zenon_H25b).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H262 | zenon_intro zenon_H25c ].
% 20.23/20.40 exact (zenon_H25e zenon_H262).
% 20.23/20.40 exact (zenon_H255 zenon_H25c).
% 20.23/20.40 (* end of lemma zenon_L177_ *)
% 20.23/20.40 assert (zenon_L178_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1081))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H273 zenon_H50 zenon_H4f zenon_H24a zenon_H51 zenon_H142 zenon_H141 zenon_H140 zenon_H26c zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.40 apply (zenon_L170_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.40 apply (zenon_L176_); trivial.
% 20.23/20.40 apply (zenon_L177_); trivial.
% 20.23/20.40 (* end of lemma zenon_L178_ *)
% 20.23/20.40 assert (zenon_L179_ : (~(hskp7)) -> (hskp7) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H275 zenon_H276.
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 (* end of lemma zenon_L179_ *)
% 20.23/20.40 assert (zenon_L180_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp58)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H277 zenon_H263 zenon_Hc zenon_H23f zenon_H255 zenon_H256 zenon_H25e zenon_H273 zenon_H50 zenon_H4f zenon_H51 zenon_H142 zenon_H141 zenon_H140 zenon_H265 zenon_H275.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.40 apply (zenon_L174_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.40 apply (zenon_L178_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.40 apply (zenon_L172_); trivial.
% 20.23/20.40 exact (zenon_H263 zenon_H264).
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 (* end of lemma zenon_L180_ *)
% 20.23/20.40 assert (zenon_L181_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1086))) -> (c2_1 (a1086)) -> (c3_1 (a1086)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H250 zenon_Hc zenon_H279 zenon_H27a zenon_H27b.
% 20.23/20.40 generalize (zenon_H250 (a1086)). zenon_intro zenon_H27c.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_Hb | zenon_intro zenon_H27d ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ].
% 20.23/20.40 exact (zenon_H279 zenon_H27f).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ].
% 20.23/20.40 exact (zenon_H281 zenon_H27a).
% 20.23/20.40 exact (zenon_H280 zenon_H27b).
% 20.23/20.40 (* end of lemma zenon_L181_ *)
% 20.23/20.40 assert (zenon_L182_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H142 zenon_H141 zenon_H140 zenon_H26c zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.40 apply (zenon_L181_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.40 apply (zenon_L176_); trivial.
% 20.23/20.40 apply (zenon_L177_); trivial.
% 20.23/20.40 (* end of lemma zenon_L182_ *)
% 20.23/20.40 assert (zenon_L183_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H282 zenon_H277 zenon_H255 zenon_H25e zenon_H256 zenon_H140 zenon_H141 zenon_H142 zenon_H273 zenon_H275.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.40 apply (zenon_L181_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.40 apply (zenon_L182_); trivial.
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 (* end of lemma zenon_L183_ *)
% 20.23/20.40 assert (zenon_L184_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H4b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H142 zenon_H141 zenon_H140 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.40 apply (zenon_L180_); trivial.
% 20.23/20.40 exact (zenon_Hdd zenon_Hde).
% 20.23/20.40 apply (zenon_L183_); trivial.
% 20.23/20.40 (* end of lemma zenon_L184_ *)
% 20.23/20.40 assert (zenon_L185_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H5a zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H142 zenon_H141 zenon_H140 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.40 apply (zenon_L17_); trivial.
% 20.23/20.40 apply (zenon_L184_); trivial.
% 20.23/20.40 (* end of lemma zenon_L185_ *)
% 20.23/20.40 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1ee zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b zenon_H2f zenon_H31 zenon_H33.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.23/20.40 apply (zenon_L14_); trivial.
% 20.23/20.40 apply (zenon_L185_); trivial.
% 20.23/20.40 (* end of lemma zenon_L186_ *)
% 20.23/20.40 assert (zenon_L187_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b zenon_H2f zenon_H31 zenon_H33 zenon_H138 zenon_H135 zenon_H137.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.40 apply (zenon_L73_); trivial.
% 20.23/20.40 apply (zenon_L186_); trivial.
% 20.23/20.40 (* end of lemma zenon_L187_ *)
% 20.23/20.40 assert (zenon_L188_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.40 apply (zenon_L187_); trivial.
% 20.23/20.40 apply (zenon_L46_); trivial.
% 20.23/20.40 (* end of lemma zenon_L188_ *)
% 20.23/20.40 assert (zenon_L189_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H24a zenon_Hc zenon_H286 zenon_H126 zenon_H127.
% 20.23/20.40 generalize (zenon_H24a (a1034)). zenon_intro zenon_H287.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_Hb | zenon_intro zenon_H288 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H28a | zenon_intro zenon_H289 ].
% 20.23/20.40 exact (zenon_H286 zenon_H28a).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H12d | zenon_intro zenon_H12b ].
% 20.23/20.40 exact (zenon_H12d zenon_H126).
% 20.23/20.40 exact (zenon_H12b zenon_H127).
% 20.23/20.40 (* end of lemma zenon_L189_ *)
% 20.23/20.40 assert (zenon_L190_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H250 zenon_Hc zenon_H125 zenon_H24a zenon_H126 zenon_H127.
% 20.23/20.40 generalize (zenon_H250 (a1034)). zenon_intro zenon_H28b.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_Hb | zenon_intro zenon_H28c ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H12c | zenon_intro zenon_H28d ].
% 20.23/20.40 exact (zenon_H125 zenon_H12c).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H286 | zenon_intro zenon_H12b ].
% 20.23/20.40 apply (zenon_L189_); trivial.
% 20.23/20.40 exact (zenon_H12b zenon_H127).
% 20.23/20.40 (* end of lemma zenon_L190_ *)
% 20.23/20.40 assert (zenon_L191_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1034))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H273 zenon_H127 zenon_H126 zenon_H24a zenon_H125 zenon_H142 zenon_H141 zenon_H140 zenon_H26c zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.40 apply (zenon_L190_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.40 apply (zenon_L176_); trivial.
% 20.23/20.40 apply (zenon_L177_); trivial.
% 20.23/20.40 (* end of lemma zenon_L191_ *)
% 20.23/20.40 assert (zenon_L192_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H265 zenon_H26c zenon_H140 zenon_H141 zenon_H142 zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H25e zenon_H256 zenon_H255 zenon_H23f zenon_Hc zenon_H263.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.40 apply (zenon_L191_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.40 apply (zenon_L172_); trivial.
% 20.23/20.40 exact (zenon_H263 zenon_H264).
% 20.23/20.40 (* end of lemma zenon_L192_ *)
% 20.23/20.40 assert (zenon_L193_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1081))) -> (c1_1 (a1081)) -> (c3_1 (a1081)) -> (~(hskp58)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H277 zenon_H51 zenon_H4f zenon_H50 zenon_H263 zenon_Hc zenon_H23f zenon_H255 zenon_H256 zenon_H25e zenon_H273 zenon_H127 zenon_H126 zenon_H125 zenon_H142 zenon_H141 zenon_H140 zenon_H265 zenon_H275.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.40 apply (zenon_L174_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.40 apply (zenon_L192_); trivial.
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 (* end of lemma zenon_L193_ *)
% 20.23/20.40 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H4b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H142 zenon_H141 zenon_H140 zenon_H127 zenon_H126 zenon_H125 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.40 apply (zenon_L193_); trivial.
% 20.23/20.40 exact (zenon_Hdd zenon_Hde).
% 20.23/20.40 apply (zenon_L183_); trivial.
% 20.23/20.40 (* end of lemma zenon_L194_ *)
% 20.23/20.40 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1ee zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H127 zenon_H126 zenon_H125 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b zenon_H2f zenon_H31 zenon_H33.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.23/20.40 apply (zenon_L14_); trivial.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.40 apply (zenon_L17_); trivial.
% 20.23/20.40 apply (zenon_L194_); trivial.
% 20.23/20.40 (* end of lemma zenon_L195_ *)
% 20.23/20.40 assert (zenon_L196_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H127 zenon_H126 zenon_H125 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b zenon_H2f zenon_H31 zenon_H33 zenon_H138 zenon_H135 zenon_H137.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.40 apply (zenon_L73_); trivial.
% 20.23/20.40 apply (zenon_L195_); trivial.
% 20.23/20.40 (* end of lemma zenon_L196_ *)
% 20.23/20.40 assert (zenon_L197_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1056))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H250 zenon_Hc zenon_Hb1 zenon_Ha6 zenon_Ha7.
% 20.23/20.40 generalize (zenon_H250 (a1056)). zenon_intro zenon_H28e.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H28e); [ zenon_intro zenon_Hb | zenon_intro zenon_H28f ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Haa ].
% 20.23/20.40 exact (zenon_Hb1 zenon_Hb5).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 20.23/20.40 exact (zenon_Had zenon_Ha6).
% 20.23/20.40 exact (zenon_Hac zenon_Ha7).
% 20.23/20.40 (* end of lemma zenon_L197_ *)
% 20.23/20.40 assert (zenon_L198_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (c1_1 (a1056)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H80 zenon_Hc zenon_Ha5 zenon_H250 zenon_Ha6 zenon_Ha7.
% 20.23/20.40 generalize (zenon_H80 (a1056)). zenon_intro zenon_Hb9.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb | zenon_intro zenon_Hba ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbb ].
% 20.23/20.40 exact (zenon_Hab zenon_Ha5).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Had ].
% 20.23/20.40 apply (zenon_L197_); trivial.
% 20.23/20.40 exact (zenon_Had zenon_Ha6).
% 20.23/20.40 (* end of lemma zenon_L198_ *)
% 20.23/20.40 assert (zenon_L199_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1056)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c3_1 (a1056)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H84 zenon_Hc zenon_Ha6 zenon_H250 zenon_Ha7.
% 20.23/20.40 generalize (zenon_H84 (a1056)). zenon_intro zenon_Hb6.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Had | zenon_intro zenon_Hb8 ].
% 20.23/20.40 exact (zenon_Had zenon_Ha6).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hac ].
% 20.23/20.40 apply (zenon_L197_); trivial.
% 20.23/20.40 exact (zenon_Hac zenon_Ha7).
% 20.23/20.40 (* end of lemma zenon_L199_ *)
% 20.23/20.40 assert (zenon_L200_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H88 zenon_Hc zenon_H250 zenon_Ha6 zenon_Ha7 zenon_Ha5.
% 20.23/20.40 generalize (zenon_H88 (a1056)). zenon_intro zenon_Hbc.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hbd ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbe ].
% 20.23/20.40 apply (zenon_L197_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hab | zenon_intro zenon_Had ].
% 20.23/20.40 exact (zenon_Hab zenon_Ha5).
% 20.23/20.40 exact (zenon_Had zenon_Ha6).
% 20.23/20.40 (* end of lemma zenon_L200_ *)
% 20.23/20.40 assert (zenon_L201_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H8c zenon_Hc zenon_H250 zenon_Ha6 zenon_Ha7 zenon_Ha5.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.40 apply (zenon_L198_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.40 apply (zenon_L199_); trivial.
% 20.23/20.40 apply (zenon_L200_); trivial.
% 20.23/20.40 (* end of lemma zenon_L201_ *)
% 20.23/20.40 assert (zenon_L202_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Hbf zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H142 zenon_H141 zenon_H140 zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_H8c zenon_Hdd zenon_H249.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.40 apply (zenon_L201_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.40 apply (zenon_L192_); trivial.
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 exact (zenon_Hdd zenon_Hde).
% 20.23/20.40 apply (zenon_L183_); trivial.
% 20.23/20.40 (* end of lemma zenon_L202_ *)
% 20.23/20.40 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1ee zenon_Hc5 zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_Hdd zenon_H249 zenon_H93 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.40 apply (zenon_L39_); trivial.
% 20.23/20.40 apply (zenon_L202_); trivial.
% 20.23/20.40 (* end of lemma zenon_L203_ *)
% 20.23/20.40 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_Hc5 zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_Hdd zenon_H249 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.40 apply (zenon_L73_); trivial.
% 20.23/20.40 apply (zenon_L203_); trivial.
% 20.23/20.40 (* end of lemma zenon_L204_ *)
% 20.23/20.40 assert (zenon_L205_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.40 apply (zenon_L196_); trivial.
% 20.23/20.40 apply (zenon_L204_); trivial.
% 20.23/20.40 (* end of lemma zenon_L205_ *)
% 20.23/20.40 assert (zenon_L206_ : ((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H290 zenon_H249 zenon_Hdd.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.23/20.40 apply (zenon_L168_); trivial.
% 20.23/20.40 (* end of lemma zenon_L206_ *)
% 20.23/20.40 assert (zenon_L207_ : ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H293 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb zenon_H132.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.40 apply (zenon_L188_); trivial.
% 20.23/20.40 apply (zenon_L205_); trivial.
% 20.23/20.40 apply (zenon_L206_); trivial.
% 20.23/20.40 (* end of lemma zenon_L207_ *)
% 20.23/20.40 assert (zenon_L208_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H294 zenon_Hc zenon_H295 zenon_H296 zenon_H297.
% 20.23/20.40 generalize (zenon_H294 (a1079)). zenon_intro zenon_H298.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_Hb | zenon_intro zenon_H299 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ].
% 20.23/20.40 exact (zenon_H295 zenon_H29b).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ].
% 20.23/20.40 exact (zenon_H29d zenon_H296).
% 20.23/20.40 exact (zenon_H297 zenon_H29c).
% 20.23/20.40 (* end of lemma zenon_L208_ *)
% 20.23/20.40 assert (zenon_L209_ : (~(hskp25)) -> (hskp25) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H29e zenon_H29f.
% 20.23/20.40 exact (zenon_H29e zenon_H29f).
% 20.23/20.40 (* end of lemma zenon_L209_ *)
% 20.23/20.40 assert (zenon_L210_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (ndr1_0) -> (c3_1 (a1081)) -> (forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H19f zenon_Hc zenon_H50 zenon_H2a0 zenon_H4f zenon_H51.
% 20.23/20.40 generalize (zenon_H19f (a1081)). zenon_intro zenon_H2a1.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H2a2 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H57 | zenon_intro zenon_H2a3 ].
% 20.23/20.40 exact (zenon_H57 zenon_H50).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H24f | zenon_intro zenon_H58 ].
% 20.23/20.40 generalize (zenon_H2a0 (a1081)). zenon_intro zenon_H2a4.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_Hb | zenon_intro zenon_H2a5 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H24b | zenon_intro zenon_H24e ].
% 20.23/20.40 exact (zenon_H24b zenon_H24f).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H59 | zenon_intro zenon_H57 ].
% 20.23/20.40 exact (zenon_H59 zenon_H4f).
% 20.23/20.40 exact (zenon_H57 zenon_H50).
% 20.23/20.40 exact (zenon_H51 zenon_H58).
% 20.23/20.40 (* end of lemma zenon_L210_ *)
% 20.23/20.40 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H4b zenon_H1c7 zenon_H29e zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H1c3 zenon_H1c5.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.23/20.40 apply (zenon_L208_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.23/20.40 exact (zenon_H29e zenon_H29f).
% 20.23/20.40 apply (zenon_L210_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.23/20.40 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.40 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.40 (* end of lemma zenon_L211_ *)
% 20.23/20.40 assert (zenon_L212_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H5a zenon_H5b zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.40 apply (zenon_L17_); trivial.
% 20.23/20.40 apply (zenon_L211_); trivial.
% 20.23/20.40 (* end of lemma zenon_L212_ *)
% 20.23/20.40 assert (zenon_L213_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H2a0 zenon_Hc zenon_Ha6 zenon_Ha5 zenon_Ha7.
% 20.23/20.40 generalize (zenon_H2a0 (a1056)). zenon_intro zenon_H2a8.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2a8); [ zenon_intro zenon_Hb | zenon_intro zenon_H2a9 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_Had | zenon_intro zenon_H2aa ].
% 20.23/20.40 exact (zenon_Had zenon_Ha6).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_Hab | zenon_intro zenon_Hac ].
% 20.23/20.40 exact (zenon_Hab zenon_Ha5).
% 20.23/20.40 exact (zenon_Hac zenon_Ha7).
% 20.23/20.40 (* end of lemma zenon_L213_ *)
% 20.23/20.40 assert (zenon_L214_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Hbf zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H29e.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.23/20.40 apply (zenon_L208_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.23/20.40 exact (zenon_H29e zenon_H29f).
% 20.23/20.40 apply (zenon_L213_); trivial.
% 20.23/20.40 (* end of lemma zenon_L214_ *)
% 20.23/20.40 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.40 apply (zenon_L39_); trivial.
% 20.23/20.40 apply (zenon_L214_); trivial.
% 20.23/20.40 (* end of lemma zenon_L215_ *)
% 20.23/20.40 assert (zenon_L216_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H5b zenon_Hc9.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.23/20.40 apply (zenon_L14_); trivial.
% 20.23/20.40 apply (zenon_L212_); trivial.
% 20.23/20.40 apply (zenon_L215_); trivial.
% 20.23/20.40 (* end of lemma zenon_L216_ *)
% 20.23/20.40 assert (zenon_L217_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (ndr1_0) -> (~(hskp36)) -> (~(hskp7)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H2ab zenon_H297 zenon_H296 zenon_H295 zenon_Hc zenon_Hae zenon_H275.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ac ].
% 20.23/20.40 apply (zenon_L208_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_Haf | zenon_intro zenon_H276 ].
% 20.23/20.40 exact (zenon_Hae zenon_Haf).
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 (* end of lemma zenon_L217_ *)
% 20.23/20.40 assert (zenon_L218_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.40 apply (zenon_L162_); trivial.
% 20.23/20.40 apply (zenon_L215_); trivial.
% 20.23/20.40 (* end of lemma zenon_L218_ *)
% 20.23/20.40 assert (zenon_L219_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.40 apply (zenon_L68_); trivial.
% 20.23/20.40 apply (zenon_L218_); trivial.
% 20.23/20.40 (* end of lemma zenon_L219_ *)
% 20.23/20.40 assert (zenon_L220_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.40 apply (zenon_L217_); trivial.
% 20.23/20.40 apply (zenon_L219_); trivial.
% 20.23/20.40 (* end of lemma zenon_L220_ *)
% 20.23/20.40 assert (zenon_L221_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H23f zenon_Hc zenon_H2ad zenon_H2ae zenon_H2af.
% 20.23/20.40 generalize (zenon_H23f (a1091)). zenon_intro zenon_H2b0.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b1 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b2 ].
% 20.23/20.40 exact (zenon_H2ad zenon_H2b3).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H2b4 ].
% 20.23/20.40 exact (zenon_H2ae zenon_H2b5).
% 20.23/20.40 exact (zenon_H2af zenon_H2b4).
% 20.23/20.40 (* end of lemma zenon_L221_ *)
% 20.23/20.40 assert (zenon_L222_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (ndr1_0) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H249 zenon_Hdd zenon_H2af zenon_H2ae zenon_H2ad zenon_Hc.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.40 apply (zenon_L221_); trivial.
% 20.23/20.40 exact (zenon_Hdd zenon_Hde).
% 20.23/20.40 (* end of lemma zenon_L222_ *)
% 20.23/20.40 assert (zenon_L223_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H2b6 zenon_H249 zenon_Hdd.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.23/20.40 apply (zenon_L222_); trivial.
% 20.23/20.40 (* end of lemma zenon_L223_ *)
% 20.23/20.40 assert (zenon_L224_ : ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H293 zenon_H23b zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_Hdd zenon_H249 zenon_H2b9.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.40 apply (zenon_L216_); trivial.
% 20.23/20.40 apply (zenon_L220_); trivial.
% 20.23/20.40 apply (zenon_L223_); trivial.
% 20.23/20.40 apply (zenon_L206_); trivial.
% 20.23/20.40 (* end of lemma zenon_L224_ *)
% 20.23/20.40 assert (zenon_L225_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H13f zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc.
% 20.23/20.40 generalize (zenon_H13f (a1078)). zenon_intro zenon_H2bd.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_Hb | zenon_intro zenon_H2be ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ].
% 20.23/20.40 exact (zenon_H2c0 zenon_H2ba).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ].
% 20.23/20.40 exact (zenon_H2bb zenon_H2c2).
% 20.23/20.40 exact (zenon_H2c1 zenon_H2bc).
% 20.23/20.40 (* end of lemma zenon_L225_ *)
% 20.23/20.40 assert (zenon_L226_ : ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp40)) -> (~(hskp41)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H149 zenon_H13b zenon_H13d zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H13c | zenon_intro zenon_H14a ].
% 20.23/20.40 exact (zenon_H13b zenon_H13c).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 20.23/20.40 exact (zenon_H13d zenon_H13e).
% 20.23/20.40 apply (zenon_L225_); trivial.
% 20.23/20.40 (* end of lemma zenon_L226_ *)
% 20.23/20.40 assert (zenon_L227_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.23/20.40 apply (zenon_L226_); trivial.
% 20.23/20.40 apply (zenon_L113_); trivial.
% 20.23/20.40 (* end of lemma zenon_L227_ *)
% 20.23/20.40 assert (zenon_L228_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H1ec zenon_H10e zenon_H10c zenon_H124 zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.40 apply (zenon_L227_); trivial.
% 20.23/20.40 apply (zenon_L122_); trivial.
% 20.23/20.40 (* end of lemma zenon_L228_ *)
% 20.23/20.40 assert (zenon_L229_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.40 apply (zenon_L228_); trivial.
% 20.23/20.40 apply (zenon_L140_); trivial.
% 20.23/20.40 (* end of lemma zenon_L229_ *)
% 20.23/20.40 assert (zenon_L230_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec zenon_H47 zenon_H4c.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.40 apply (zenon_L68_); trivial.
% 20.23/20.40 apply (zenon_L229_); trivial.
% 20.23/20.40 (* end of lemma zenon_L230_ *)
% 20.23/20.40 assert (zenon_L231_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a1078))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H267 zenon_Hc zenon_H2c3 zenon_H2bb zenon_H2bc.
% 20.23/20.40 generalize (zenon_H267 (a1078)). zenon_intro zenon_H2c4.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb | zenon_intro zenon_H2c5 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2bf ].
% 20.23/20.40 exact (zenon_H2c3 zenon_H2c6).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ].
% 20.23/20.40 exact (zenon_H2bb zenon_H2c2).
% 20.23/20.40 exact (zenon_H2c1 zenon_H2bc).
% 20.23/20.40 (* end of lemma zenon_L231_ *)
% 20.23/20.40 assert (zenon_L232_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H26c zenon_Hc zenon_H2ba zenon_H267 zenon_H2bb zenon_H2bc.
% 20.23/20.40 generalize (zenon_H26c (a1078)). zenon_intro zenon_H2c7.
% 20.23/20.40 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_Hb | zenon_intro zenon_H2c8 ].
% 20.23/20.40 exact (zenon_Hb zenon_Hc).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c9 ].
% 20.23/20.40 exact (zenon_H2c0 zenon_H2ba).
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c1 ].
% 20.23/20.40 apply (zenon_L231_); trivial.
% 20.23/20.40 exact (zenon_H2c1 zenon_H2bc).
% 20.23/20.40 (* end of lemma zenon_L232_ *)
% 20.23/20.40 assert (zenon_L233_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1081))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H273 zenon_H50 zenon_H4f zenon_H24a zenon_H51 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26c zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.40 apply (zenon_L170_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.40 apply (zenon_L232_); trivial.
% 20.23/20.40 apply (zenon_L177_); trivial.
% 20.23/20.40 (* end of lemma zenon_L233_ *)
% 20.23/20.40 assert (zenon_L234_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1081))) -> (c1_1 (a1081)) -> (c3_1 (a1081)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H265 zenon_H26c zenon_H2ba zenon_H2bb zenon_H2bc zenon_H51 zenon_H4f zenon_H50 zenon_H273 zenon_H25e zenon_H256 zenon_H255 zenon_H23f zenon_Hc zenon_H263.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.40 apply (zenon_L233_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.40 apply (zenon_L172_); trivial.
% 20.23/20.40 exact (zenon_H263 zenon_H264).
% 20.23/20.40 (* end of lemma zenon_L234_ *)
% 20.23/20.40 assert (zenon_L235_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp58)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H277 zenon_H263 zenon_Hc zenon_H23f zenon_H255 zenon_H256 zenon_H25e zenon_H273 zenon_H50 zenon_H4f zenon_H51 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H265 zenon_H275.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.40 apply (zenon_L174_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.40 apply (zenon_L234_); trivial.
% 20.23/20.40 exact (zenon_H275 zenon_H276).
% 20.23/20.40 (* end of lemma zenon_L235_ *)
% 20.23/20.40 assert (zenon_L236_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26c zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.40 apply (zenon_L181_); trivial.
% 20.23/20.40 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.40 apply (zenon_L232_); trivial.
% 20.23/20.40 apply (zenon_L177_); trivial.
% 20.23/20.40 (* end of lemma zenon_L236_ *)
% 20.23/20.40 assert (zenon_L237_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> False).
% 20.23/20.40 do 0 intro. intros zenon_H282 zenon_H277 zenon_H255 zenon_H25e zenon_H256 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275.
% 20.23/20.40 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.41 apply (zenon_L181_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.41 apply (zenon_L236_); trivial.
% 20.23/20.41 exact (zenon_H275 zenon_H276).
% 20.23/20.41 (* end of lemma zenon_L237_ *)
% 20.23/20.41 assert (zenon_L238_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H4b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.41 apply (zenon_L235_); trivial.
% 20.23/20.41 exact (zenon_Hdd zenon_Hde).
% 20.23/20.41 apply (zenon_L237_); trivial.
% 20.23/20.41 (* end of lemma zenon_L238_ *)
% 20.23/20.41 assert (zenon_L239_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H5a zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.41 apply (zenon_L17_); trivial.
% 20.23/20.41 apply (zenon_L238_); trivial.
% 20.23/20.41 (* end of lemma zenon_L239_ *)
% 20.23/20.41 assert (zenon_L240_ : ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b zenon_H2f zenon_H31 zenon_H33.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.23/20.41 apply (zenon_L14_); trivial.
% 20.23/20.41 apply (zenon_L239_); trivial.
% 20.23/20.41 (* end of lemma zenon_L240_ *)
% 20.23/20.41 assert (zenon_L241_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1040))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H250 zenon_Hc zenon_H2ca zenon_H64 zenon_H63.
% 20.23/20.41 generalize (zenon_H250 (a1040)). zenon_intro zenon_H2cb.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_Hb | zenon_intro zenon_H2cc ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2cd ].
% 20.23/20.41 exact (zenon_H2ca zenon_H2ce).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H6b | zenon_intro zenon_H69 ].
% 20.23/20.41 exact (zenon_H6b zenon_H64).
% 20.23/20.41 exact (zenon_H69 zenon_H63).
% 20.23/20.41 (* end of lemma zenon_L241_ *)
% 20.23/20.41 assert (zenon_L242_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (c1_1 (a1040)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H80 zenon_Hc zenon_H65 zenon_H250 zenon_H64 zenon_H63.
% 20.23/20.41 generalize (zenon_H80 (a1040)). zenon_intro zenon_H2cf.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d0 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H6a | zenon_intro zenon_H2d1 ].
% 20.23/20.41 exact (zenon_H6a zenon_H65).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ca | zenon_intro zenon_H6b ].
% 20.23/20.41 apply (zenon_L241_); trivial.
% 20.23/20.41 exact (zenon_H6b zenon_H64).
% 20.23/20.41 (* end of lemma zenon_L242_ *)
% 20.23/20.41 assert (zenon_L243_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H88 zenon_Hc zenon_H250 zenon_H64 zenon_H63 zenon_H65.
% 20.23/20.41 generalize (zenon_H88 (a1040)). zenon_intro zenon_H2d2.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d3 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d4 ].
% 20.23/20.41 apply (zenon_L241_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H6a | zenon_intro zenon_H6b ].
% 20.23/20.41 exact (zenon_H6a zenon_H65).
% 20.23/20.41 exact (zenon_H6b zenon_H64).
% 20.23/20.41 (* end of lemma zenon_L243_ *)
% 20.23/20.41 assert (zenon_L244_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H8c zenon_Hc zenon_H250 zenon_H64 zenon_H63 zenon_H65.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 apply (zenon_L242_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 generalize (zenon_H84 (a1040)). zenon_intro zenon_H2d5.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2d5); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d6 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H6b | zenon_intro zenon_H2d7 ].
% 20.23/20.41 exact (zenon_H6b zenon_H64).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H69 ].
% 20.23/20.41 apply (zenon_L241_); trivial.
% 20.23/20.41 exact (zenon_H69 zenon_H63).
% 20.23/20.41 apply (zenon_L243_); trivial.
% 20.23/20.41 (* end of lemma zenon_L244_ *)
% 20.23/20.41 assert (zenon_L245_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26c zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.41 apply (zenon_L201_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.41 apply (zenon_L232_); trivial.
% 20.23/20.41 apply (zenon_L177_); trivial.
% 20.23/20.41 (* end of lemma zenon_L245_ *)
% 20.23/20.41 assert (zenon_L246_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Hbf zenon_H277 zenon_H65 zenon_H63 zenon_H64 zenon_H255 zenon_H25e zenon_H256 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H8c zenon_H273 zenon_H275.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.41 apply (zenon_L244_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.41 apply (zenon_L245_); trivial.
% 20.23/20.41 exact (zenon_H275 zenon_H276).
% 20.23/20.41 (* end of lemma zenon_L246_ *)
% 20.23/20.41 assert (zenon_L247_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.41 apply (zenon_L39_); trivial.
% 20.23/20.41 apply (zenon_L246_); trivial.
% 20.23/20.41 (* end of lemma zenon_L247_ *)
% 20.23/20.41 assert (zenon_L248_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.41 apply (zenon_L240_); trivial.
% 20.23/20.41 apply (zenon_L247_); trivial.
% 20.23/20.41 apply (zenon_L206_); trivial.
% 20.23/20.41 (* end of lemma zenon_L248_ *)
% 20.23/20.41 assert (zenon_L249_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2db zenon_H293 zenon_H23b zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H2a6 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_Hdd zenon_H249 zenon_H2b9.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.23/20.41 apply (zenon_L224_); trivial.
% 20.23/20.41 (* end of lemma zenon_L249_ *)
% 20.23/20.41 assert (zenon_L250_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2de zenon_H2ab zenon_H2a6 zenon_H2b9 zenon_H293 zenon_H249 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H12f zenon_H23c zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c3 zenon_H1c8 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec zenon_H23b zenon_H2df zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H2e0.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.23/20.41 apply (zenon_L70_); trivial.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.41 apply (zenon_L47_); trivial.
% 20.23/20.41 apply (zenon_L229_); trivial.
% 20.23/20.41 apply (zenon_L230_); trivial.
% 20.23/20.41 apply (zenon_L157_); trivial.
% 20.23/20.41 apply (zenon_L165_); trivial.
% 20.23/20.41 apply (zenon_L206_); trivial.
% 20.23/20.41 apply (zenon_L248_); trivial.
% 20.23/20.41 apply (zenon_L249_); trivial.
% 20.23/20.41 (* end of lemma zenon_L250_ *)
% 20.23/20.41 assert (zenon_L251_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H1c7 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc zenon_H1c3 zenon_H1c5.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.23/20.41 generalize (zenon_H19f (a1077)). zenon_intro zenon_H2e4.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2e4); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e5 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ].
% 20.23/20.41 exact (zenon_H2e7 zenon_H2e3).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2e8 ].
% 20.23/20.41 exact (zenon_H2e2 zenon_H2e9).
% 20.23/20.41 exact (zenon_H2e1 zenon_H2e8).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.23/20.41 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.41 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.41 (* end of lemma zenon_L251_ *)
% 20.23/20.41 assert (zenon_L252_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H249 zenon_Hdd zenon_Hc zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.23/20.41 generalize (zenon_H19f (a1080)). zenon_intro zenon_H2ea.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2ea); [ zenon_intro zenon_Hb | zenon_intro zenon_H2eb ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H254 | zenon_intro zenon_H259 ].
% 20.23/20.41 apply (zenon_L171_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25c | zenon_intro zenon_H25b ].
% 20.23/20.41 exact (zenon_H255 zenon_H25c).
% 20.23/20.41 exact (zenon_H256 zenon_H25b).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.23/20.41 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.41 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.41 exact (zenon_Hdd zenon_Hde).
% 20.23/20.41 (* end of lemma zenon_L252_ *)
% 20.23/20.41 assert (zenon_L253_ : (forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81)))))) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2ec zenon_Hc zenon_H10 zenon_H11 zenon_H12.
% 20.23/20.41 generalize (zenon_H2ec (a1022)). zenon_intro zenon_H2ed.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2ed); [ zenon_intro zenon_Hb | zenon_intro zenon_H2ee ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ef ].
% 20.23/20.41 exact (zenon_H19 zenon_H10).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H1a | zenon_intro zenon_H18 ].
% 20.23/20.41 exact (zenon_H11 zenon_H1a).
% 20.23/20.41 exact (zenon_H18 zenon_H12).
% 20.23/20.41 (* end of lemma zenon_L253_ *)
% 20.23/20.41 assert (zenon_L254_ : (~(hskp59)) -> (hskp59) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2f0 zenon_H2f1.
% 20.23/20.41 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.41 (* end of lemma zenon_L254_ *)
% 20.23/20.41 assert (zenon_L255_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2f2 zenon_Hc zenon_H23f zenon_H255 zenon_H256.
% 20.23/20.41 generalize (zenon_H2f2 (a1080)). zenon_intro zenon_H2f3.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H2f3); [ zenon_intro zenon_Hb | zenon_intro zenon_H2f4 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H254 | zenon_intro zenon_H2f5 ].
% 20.23/20.41 apply (zenon_L171_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H25b | zenon_intro zenon_H25c ].
% 20.23/20.41 exact (zenon_H256 zenon_H25b).
% 20.23/20.41 exact (zenon_H255 zenon_H25c).
% 20.23/20.41 (* end of lemma zenon_L255_ *)
% 20.23/20.41 assert (zenon_L256_ : (~(hskp48)) -> (hskp48) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2f6 zenon_H2f7.
% 20.23/20.41 exact (zenon_H2f6 zenon_H2f7).
% 20.23/20.41 (* end of lemma zenon_L256_ *)
% 20.23/20.41 assert (zenon_L257_ : ((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> (~(hskp48)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2f8 zenon_H2f9 zenon_Hae zenon_H2f6.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hc. zenon_intro zenon_H2fa.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fc. zenon_intro zenon_H2fb.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fe. zenon_intro zenon_H2fd.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H300 | zenon_intro zenon_H2ff ].
% 20.23/20.41 generalize (zenon_H300 (a1095)). zenon_intro zenon_H301.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H301); [ zenon_intro zenon_Hb | zenon_intro zenon_H302 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ].
% 20.23/20.41 exact (zenon_H2fc zenon_H304).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H306 | zenon_intro zenon_H305 ].
% 20.23/20.41 exact (zenon_H306 zenon_H2fd).
% 20.23/20.41 exact (zenon_H2fe zenon_H305).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H2f7 ].
% 20.23/20.41 exact (zenon_Hae zenon_Haf).
% 20.23/20.41 exact (zenon_H2f6 zenon_H2f7).
% 20.23/20.41 (* end of lemma zenon_L257_ *)
% 20.23/20.41 assert (zenon_L258_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hdd zenon_H249.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.41 apply (zenon_L253_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.41 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.41 apply (zenon_L255_); trivial.
% 20.23/20.41 exact (zenon_Hdd zenon_Hde).
% 20.23/20.41 apply (zenon_L257_); trivial.
% 20.23/20.41 (* end of lemma zenon_L258_ *)
% 20.23/20.41 assert (zenon_L259_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (c2_1 (a1062)) -> (c3_1 (a1062)) -> (c0_1 (a1062)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H6e zenon_Hc zenon_H30a zenon_H30b zenon_H30c.
% 20.23/20.41 generalize (zenon_H6e (a1062)). zenon_intro zenon_H30d.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H30d); [ zenon_intro zenon_Hb | zenon_intro zenon_H30e ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H310 | zenon_intro zenon_H30f ].
% 20.23/20.41 exact (zenon_H310 zenon_H30a).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H312 | zenon_intro zenon_H311 ].
% 20.23/20.41 exact (zenon_H312 zenon_H30b).
% 20.23/20.41 exact (zenon_H311 zenon_H30c).
% 20.23/20.41 (* end of lemma zenon_L259_ *)
% 20.23/20.41 assert (zenon_L260_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1062)) -> (c3_1 (a1062)) -> (c2_1 (a1062)) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H8f zenon_H30c zenon_H30b zenon_H30a zenon_H78 zenon_Hc zenon_H22e zenon_H22f zenon_H230.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.41 apply (zenon_L259_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.41 exact (zenon_H78 zenon_H79).
% 20.23/20.41 apply (zenon_L158_); trivial.
% 20.23/20.41 (* end of lemma zenon_L260_ *)
% 20.23/20.41 assert (zenon_L261_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1062)) -> (c0_1 (a1062)) -> (c3_1 (a1062)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H84 zenon_Hc zenon_H30a zenon_H30c zenon_H30b.
% 20.23/20.41 generalize (zenon_H84 (a1062)). zenon_intro zenon_H313.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H313); [ zenon_intro zenon_Hb | zenon_intro zenon_H314 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H310 | zenon_intro zenon_H315 ].
% 20.23/20.41 exact (zenon_H310 zenon_H30a).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H311 | zenon_intro zenon_H312 ].
% 20.23/20.41 exact (zenon_H311 zenon_H30c).
% 20.23/20.41 exact (zenon_H312 zenon_H30b).
% 20.23/20.41 (* end of lemma zenon_L261_ *)
% 20.23/20.41 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1062)) -> (c0_1 (a1062)) -> (c2_1 (a1062)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Ha0 zenon_H8c zenon_H30b zenon_H30c zenon_H30a.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 apply (zenon_L35_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 apply (zenon_L261_); trivial.
% 20.23/20.41 apply (zenon_L36_); trivial.
% 20.23/20.41 (* end of lemma zenon_L262_ *)
% 20.23/20.41 assert (zenon_L263_ : ((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H316 zenon_Ha3 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Hc. zenon_intro zenon_H317.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H30b. zenon_intro zenon_H318.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H30a. zenon_intro zenon_H30c.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.41 apply (zenon_L260_); trivial.
% 20.23/20.41 apply (zenon_L262_); trivial.
% 20.23/20.41 (* end of lemma zenon_L263_ *)
% 20.23/20.41 assert (zenon_L264_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H249 zenon_Hdd zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_Hae zenon_H2f9 zenon_H307.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.41 apply (zenon_L258_); trivial.
% 20.23/20.41 apply (zenon_L263_); trivial.
% 20.23/20.41 (* end of lemma zenon_L264_ *)
% 20.23/20.41 assert (zenon_L265_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1031)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H84 zenon_Hc zenon_H230 zenon_H1f6 zenon_H22f zenon_H22e.
% 20.23/20.41 generalize (zenon_H84 (a1031)). zenon_intro zenon_H31a.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H31a); [ zenon_intro zenon_Hb | zenon_intro zenon_H31b ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H235 | zenon_intro zenon_H31c ].
% 20.23/20.41 exact (zenon_H235 zenon_H230).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H31d | zenon_intro zenon_H234 ].
% 20.23/20.41 generalize (zenon_H1f6 (a1031)). zenon_intro zenon_H31e.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H31e); [ zenon_intro zenon_Hb | zenon_intro zenon_H31f ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H236 | zenon_intro zenon_H320 ].
% 20.23/20.41 exact (zenon_H22f zenon_H236).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H321 | zenon_intro zenon_H235 ].
% 20.23/20.41 exact (zenon_H31d zenon_H321).
% 20.23/20.41 exact (zenon_H235 zenon_H230).
% 20.23/20.41 exact (zenon_H234 zenon_H22e).
% 20.23/20.41 (* end of lemma zenon_L265_ *)
% 20.23/20.41 assert (zenon_L266_ : ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (ndr1_0) -> (c2_1 (a1031)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Hf1 zenon_Hdd zenon_Ha6 zenon_Ha5 zenon_Hc zenon_H230 zenon_H1f6 zenon_H22f zenon_H22e zenon_H8c zenon_Hee.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf4 ].
% 20.23/20.41 exact (zenon_Hdd zenon_Hde).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hef ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 apply (zenon_L126_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 apply (zenon_L265_); trivial.
% 20.23/20.41 apply (zenon_L128_); trivial.
% 20.23/20.41 exact (zenon_Hee zenon_Hef).
% 20.23/20.41 (* end of lemma zenon_L266_ *)
% 20.23/20.41 assert (zenon_L267_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))) -> (ndr1_0) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H1ff zenon_Hc zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.41 generalize (zenon_H1ff (a1022)). zenon_intro zenon_H322.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H322); [ zenon_intro zenon_Hb | zenon_intro zenon_H323 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H18 | zenon_intro zenon_H324 ].
% 20.23/20.41 exact (zenon_H18 zenon_H12).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 20.23/20.41 exact (zenon_H19 zenon_H10).
% 20.23/20.41 exact (zenon_H11 zenon_H1a).
% 20.23/20.41 (* end of lemma zenon_L267_ *)
% 20.23/20.41 assert (zenon_L268_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (~(hskp43)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Hbf zenon_H203 zenon_H1f1 zenon_Hee zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_Hdd zenon_Hf1 zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.41 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.41 apply (zenon_L266_); trivial.
% 20.23/20.41 apply (zenon_L267_); trivial.
% 20.23/20.41 (* end of lemma zenon_L268_ *)
% 20.23/20.41 assert (zenon_L269_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H8c zenon_H22e zenon_H22f zenon_H1f6 zenon_H230 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 apply (zenon_L61_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 apply (zenon_L265_); trivial.
% 20.23/20.41 apply (zenon_L64_); trivial.
% 20.23/20.41 (* end of lemma zenon_L269_ *)
% 20.23/20.41 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H11b zenon_H203 zenon_H1f1 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.41 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.41 apply (zenon_L269_); trivial.
% 20.23/20.41 apply (zenon_L267_); trivial.
% 20.23/20.41 (* end of lemma zenon_L270_ *)
% 20.23/20.41 assert (zenon_L271_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H121 zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_H1f1 zenon_Hf1 zenon_H230 zenon_H22f zenon_H22e zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.41 apply (zenon_L39_); trivial.
% 20.23/20.41 apply (zenon_L268_); trivial.
% 20.23/20.41 apply (zenon_L270_); trivial.
% 20.23/20.41 (* end of lemma zenon_L271_ *)
% 20.23/20.41 assert (zenon_L272_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.41 apply (zenon_L162_); trivial.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.41 apply (zenon_L271_); trivial.
% 20.23/20.41 apply (zenon_L139_); trivial.
% 20.23/20.41 (* end of lemma zenon_L272_ *)
% 20.23/20.41 assert (zenon_L273_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.41 apply (zenon_L252_); trivial.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.41 apply (zenon_L264_); trivial.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.41 apply (zenon_L68_); trivial.
% 20.23/20.41 apply (zenon_L272_); trivial.
% 20.23/20.41 (* end of lemma zenon_L273_ *)
% 20.23/20.41 assert (zenon_L274_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.41 apply (zenon_L3_); trivial.
% 20.23/20.41 apply (zenon_L273_); trivial.
% 20.23/20.41 (* end of lemma zenon_L274_ *)
% 20.23/20.41 assert (zenon_L275_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H267 zenon_Hc zenon_H329 zenon_H32a zenon_H32b.
% 20.23/20.41 generalize (zenon_H267 (a1021)). zenon_intro zenon_H32c.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H32c); [ zenon_intro zenon_Hb | zenon_intro zenon_H32d ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H32f | zenon_intro zenon_H32e ].
% 20.23/20.41 exact (zenon_H329 zenon_H32f).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H331 | zenon_intro zenon_H330 ].
% 20.23/20.41 exact (zenon_H32a zenon_H331).
% 20.23/20.41 exact (zenon_H330 zenon_H32b).
% 20.23/20.41 (* end of lemma zenon_L275_ *)
% 20.23/20.41 assert (zenon_L276_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Hc4 zenon_H273 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H256 zenon_H25e zenon_H255.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.41 apply (zenon_L244_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.41 apply (zenon_L275_); trivial.
% 20.23/20.41 apply (zenon_L177_); trivial.
% 20.23/20.41 (* end of lemma zenon_L276_ *)
% 20.23/20.41 assert (zenon_L277_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.41 apply (zenon_L162_); trivial.
% 20.23/20.41 apply (zenon_L276_); trivial.
% 20.23/20.41 (* end of lemma zenon_L277_ *)
% 20.23/20.41 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.41 apply (zenon_L68_); trivial.
% 20.23/20.41 apply (zenon_L277_); trivial.
% 20.23/20.41 (* end of lemma zenon_L278_ *)
% 20.23/20.41 assert (zenon_L279_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H237 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H1dd zenon_H329 zenon_H32a zenon_H32b zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H12f.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.41 apply (zenon_L47_); trivial.
% 20.23/20.41 apply (zenon_L277_); trivial.
% 20.23/20.41 apply (zenon_L278_); trivial.
% 20.23/20.41 (* end of lemma zenon_L279_ *)
% 20.23/20.41 assert (zenon_L280_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H1dd zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H12f zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.41 apply (zenon_L251_); trivial.
% 20.23/20.41 apply (zenon_L279_); trivial.
% 20.23/20.41 (* end of lemma zenon_L280_ *)
% 20.23/20.41 assert (zenon_L281_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_Hdd zenon_H249 zenon_H6 zenon_H5 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H273 zenon_Hc9 zenon_H5b zenon_H3b zenon_H31 zenon_H33 zenon_Hc0 zenon_H335.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.41 apply (zenon_L274_); trivial.
% 20.23/20.41 apply (zenon_L280_); trivial.
% 20.23/20.41 apply (zenon_L206_); trivial.
% 20.23/20.41 (* end of lemma zenon_L281_ *)
% 20.23/20.41 assert (zenon_L282_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2de zenon_H275 zenon_H2ab zenon_H2a6 zenon_H2b9 zenon_H293 zenon_H249 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H12f zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H1dd zenon_H23b zenon_H2df zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H328 zenon_H2e0.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.23/20.41 apply (zenon_L70_); trivial.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.41 apply (zenon_L251_); trivial.
% 20.23/20.41 apply (zenon_L165_); trivial.
% 20.23/20.41 apply (zenon_L206_); trivial.
% 20.23/20.41 apply (zenon_L281_); trivial.
% 20.23/20.41 apply (zenon_L249_); trivial.
% 20.23/20.41 (* end of lemma zenon_L282_ *)
% 20.23/20.41 assert (zenon_L283_ : (~(hskp52)) -> (hskp52) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H336 zenon_H337.
% 20.23/20.41 exact (zenon_H336 zenon_H337).
% 20.23/20.41 (* end of lemma zenon_L283_ *)
% 20.23/20.41 assert (zenon_L284_ : (~(hskp34)) -> (hskp34) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H338 zenon_H339.
% 20.23/20.41 exact (zenon_H338 zenon_H339).
% 20.23/20.41 (* end of lemma zenon_L284_ *)
% 20.23/20.41 assert (zenon_L285_ : (forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H33a zenon_Hc zenon_H10c zenon_H124 zenon_H10e.
% 20.23/20.41 generalize (zenon_H33a (a1037)). zenon_intro zenon_H33b.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H33b); [ zenon_intro zenon_Hb | zenon_intro zenon_H33c ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H112 | zenon_intro zenon_H33d ].
% 20.23/20.41 exact (zenon_H112 zenon_H10c).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H1dc | zenon_intro zenon_H113 ].
% 20.23/20.41 exact (zenon_H124 zenon_H1dc).
% 20.23/20.41 exact (zenon_H113 zenon_H10e).
% 20.23/20.41 (* end of lemma zenon_L285_ *)
% 20.23/20.41 assert (zenon_L286_ : ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp52)) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H33e zenon_H336 zenon_H338 zenon_Hc zenon_H10c zenon_H124 zenon_H10e.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H337 | zenon_intro zenon_H33f ].
% 20.23/20.41 exact (zenon_H336 zenon_H337).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H339 | zenon_intro zenon_H33a ].
% 20.23/20.41 exact (zenon_H338 zenon_H339).
% 20.23/20.41 apply (zenon_L285_); trivial.
% 20.23/20.41 (* end of lemma zenon_L286_ *)
% 20.23/20.41 assert (zenon_L287_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H7a zenon_Hc zenon_H340 zenon_H341 zenon_H342.
% 20.23/20.41 generalize (zenon_H7a (a1059)). zenon_intro zenon_H343.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H343); [ zenon_intro zenon_Hb | zenon_intro zenon_H344 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H346 | zenon_intro zenon_H345 ].
% 20.23/20.41 exact (zenon_H346 zenon_H340).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H348 | zenon_intro zenon_H347 ].
% 20.23/20.41 exact (zenon_H341 zenon_H348).
% 20.23/20.41 exact (zenon_H347 zenon_H342).
% 20.23/20.41 (* end of lemma zenon_L287_ *)
% 20.23/20.41 assert (zenon_L288_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H8f zenon_H10e zenon_H10c zenon_H10b zenon_H78 zenon_Hc zenon_H340 zenon_H341 zenon_H342.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.41 apply (zenon_L114_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.41 exact (zenon_H78 zenon_H79).
% 20.23/20.41 apply (zenon_L287_); trivial.
% 20.23/20.41 (* end of lemma zenon_L288_ *)
% 20.23/20.41 assert (zenon_L289_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp38)) -> (ndr1_0) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H1dd zenon_H342 zenon_H341 zenon_H340 zenon_H78 zenon_H8f zenon_H2f zenon_Hc zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.41 apply (zenon_L288_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.41 exact (zenon_H2f zenon_H30).
% 20.23/20.41 apply (zenon_L117_); trivial.
% 20.23/20.41 (* end of lemma zenon_L289_ *)
% 20.23/20.41 assert (zenon_L290_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> (~(c2_1 (a1071))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H14c zenon_Hc zenon_H349 zenon_H34a zenon_H34b.
% 20.23/20.41 generalize (zenon_H14c (a1071)). zenon_intro zenon_H34c.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H34c); [ zenon_intro zenon_Hb | zenon_intro zenon_H34d ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H34d); [ zenon_intro zenon_H34f | zenon_intro zenon_H34e ].
% 20.23/20.41 exact (zenon_H34f zenon_H349).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H351 | zenon_intro zenon_H350 ].
% 20.23/20.41 exact (zenon_H351 zenon_H34a).
% 20.23/20.41 exact (zenon_H34b zenon_H350).
% 20.23/20.41 (* end of lemma zenon_L290_ *)
% 20.23/20.41 assert (zenon_L291_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H8c zenon_H34a zenon_H349 zenon_H14c zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 apply (zenon_L35_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 generalize (zenon_H84 (a1071)). zenon_intro zenon_H352.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H352); [ zenon_intro zenon_Hb | zenon_intro zenon_H353 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H34b | zenon_intro zenon_H354 ].
% 20.23/20.41 apply (zenon_L290_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H34f | zenon_intro zenon_H351 ].
% 20.23/20.41 exact (zenon_H34f zenon_H349).
% 20.23/20.41 exact (zenon_H351 zenon_H34a).
% 20.23/20.41 apply (zenon_L36_); trivial.
% 20.23/20.41 (* end of lemma zenon_L291_ *)
% 20.23/20.41 assert (zenon_L292_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H155 zenon_Hc zenon_H342 zenon_H340 zenon_H341.
% 20.23/20.41 generalize (zenon_H155 (a1059)). zenon_intro zenon_H355.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H355); [ zenon_intro zenon_Hb | zenon_intro zenon_H356 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H347 | zenon_intro zenon_H357 ].
% 20.23/20.41 exact (zenon_H347 zenon_H342).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H346 | zenon_intro zenon_H348 ].
% 20.23/20.41 exact (zenon_H346 zenon_H340).
% 20.23/20.41 exact (zenon_H341 zenon_H348).
% 20.23/20.41 (* end of lemma zenon_L292_ *)
% 20.23/20.41 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H34a zenon_H349 zenon_H342 zenon_H340 zenon_H341 zenon_H166.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.41 apply (zenon_L291_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.41 apply (zenon_L292_); trivial.
% 20.23/20.41 exact (zenon_H15f zenon_H160).
% 20.23/20.41 apply (zenon_L91_); trivial.
% 20.23/20.41 (* end of lemma zenon_L293_ *)
% 20.23/20.41 assert (zenon_L294_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp38)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H2f zenon_H1dd zenon_H338 zenon_Hc zenon_H10c zenon_H124 zenon_H10e zenon_H33e.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.23/20.41 apply (zenon_L286_); trivial.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.41 apply (zenon_L289_); trivial.
% 20.23/20.41 apply (zenon_L293_); trivial.
% 20.23/20.41 (* end of lemma zenon_L294_ *)
% 20.23/20.41 assert (zenon_L295_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.41 apply (zenon_L294_); trivial.
% 20.23/20.41 apply (zenon_L140_); trivial.
% 20.23/20.41 (* end of lemma zenon_L295_ *)
% 20.23/20.41 assert (zenon_L296_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_Hfc zenon_H11c zenon_H121 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358 zenon_H47 zenon_H4c.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.41 apply (zenon_L68_); trivial.
% 20.23/20.41 apply (zenon_L295_); trivial.
% 20.23/20.41 (* end of lemma zenon_L296_ *)
% 20.23/20.41 assert (zenon_L297_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H358 zenon_H183 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H338 zenon_H33e zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hcc zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H212 zenon_H215 zenon_H219 zenon_H12f.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.41 apply (zenon_L47_); trivial.
% 20.23/20.41 apply (zenon_L295_); trivial.
% 20.23/20.41 apply (zenon_L296_); trivial.
% 20.23/20.41 (* end of lemma zenon_L297_ *)
% 20.23/20.41 assert (zenon_L298_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1032)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H14c zenon_Hc zenon_H35d zenon_H35e zenon_H35f.
% 20.23/20.41 generalize (zenon_H14c (a1032)). zenon_intro zenon_H360.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H360); [ zenon_intro zenon_Hb | zenon_intro zenon_H361 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H363 | zenon_intro zenon_H362 ].
% 20.23/20.41 exact (zenon_H363 zenon_H35d).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H365 | zenon_intro zenon_H364 ].
% 20.23/20.41 exact (zenon_H365 zenon_H35e).
% 20.23/20.41 exact (zenon_H35f zenon_H364).
% 20.23/20.41 (* end of lemma zenon_L298_ *)
% 20.23/20.41 assert (zenon_L299_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))) -> (ndr1_0) -> (c3_1 (a1032)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1032))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H2f2 zenon_Hc zenon_H35e zenon_H14c zenon_H35f.
% 20.23/20.41 generalize (zenon_H2f2 (a1032)). zenon_intro zenon_H366.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H366); [ zenon_intro zenon_Hb | zenon_intro zenon_H367 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H365 | zenon_intro zenon_H368 ].
% 20.23/20.41 exact (zenon_H365 zenon_H35e).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H35d | zenon_intro zenon_H364 ].
% 20.23/20.41 apply (zenon_L298_); trivial.
% 20.23/20.41 exact (zenon_H35f zenon_H364).
% 20.23/20.41 (* end of lemma zenon_L299_ *)
% 20.23/20.41 assert (zenon_L300_ : ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp59)) -> (ndr1_0) -> (c3_1 (a1032)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1032))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H2f0 zenon_Hc zenon_H35e zenon_H14c zenon_H35f.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.41 apply (zenon_L253_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.41 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.41 apply (zenon_L299_); trivial.
% 20.23/20.41 (* end of lemma zenon_L300_ *)
% 20.23/20.41 assert (zenon_L301_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (~(hskp57)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H308 zenon_H35f zenon_H35e zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_H342 zenon_H340 zenon_H341 zenon_H15f zenon_H166.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.41 apply (zenon_L300_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.41 apply (zenon_L292_); trivial.
% 20.23/20.41 exact (zenon_H15f zenon_H160).
% 20.23/20.41 apply (zenon_L257_); trivial.
% 20.23/20.41 (* end of lemma zenon_L301_ *)
% 20.23/20.41 assert (zenon_L302_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H35e zenon_H35f zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.41 apply (zenon_L301_); trivial.
% 20.23/20.41 apply (zenon_L89_); trivial.
% 20.23/20.41 (* end of lemma zenon_L302_ *)
% 20.23/20.41 assert (zenon_L303_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H10 zenon_H11 zenon_H12 zenon_H35e zenon_H35f zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.41 apply (zenon_L301_); trivial.
% 20.23/20.41 apply (zenon_L91_); trivial.
% 20.23/20.41 (* end of lemma zenon_L303_ *)
% 20.23/20.41 assert (zenon_L304_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c3_1 (a1062)) -> (~(c1_1 (a1062))) -> (c2_1 (a1062)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H7a zenon_Hc zenon_H30b zenon_H369 zenon_H30a.
% 20.23/20.41 generalize (zenon_H7a (a1062)). zenon_intro zenon_H36a.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H36a); [ zenon_intro zenon_Hb | zenon_intro zenon_H36b ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H312 | zenon_intro zenon_H36c ].
% 20.23/20.41 exact (zenon_H312 zenon_H30b).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H36d | zenon_intro zenon_H310 ].
% 20.23/20.41 exact (zenon_H369 zenon_H36d).
% 20.23/20.41 exact (zenon_H310 zenon_H30a).
% 20.23/20.41 (* end of lemma zenon_L304_ *)
% 20.23/20.41 assert (zenon_L305_ : ((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H316 zenon_Ha3 zenon_H8c zenon_H8f.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Hc. zenon_intro zenon_H317.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H30b. zenon_intro zenon_H318.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H30a. zenon_intro zenon_H30c.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.41 apply (zenon_L259_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.41 exact (zenon_H78 zenon_H79).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 generalize (zenon_H80 (a1062)). zenon_intro zenon_H36e.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H36e); [ zenon_intro zenon_Hb | zenon_intro zenon_H36f ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H369 | zenon_intro zenon_H370 ].
% 20.23/20.41 apply (zenon_L304_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H311 | zenon_intro zenon_H310 ].
% 20.23/20.41 exact (zenon_H311 zenon_H30c).
% 20.23/20.41 exact (zenon_H310 zenon_H30a).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 apply (zenon_L261_); trivial.
% 20.23/20.41 generalize (zenon_H88 (a1062)). zenon_intro zenon_H371.
% 20.23/20.41 apply (zenon_imply_s _ _ zenon_H371); [ zenon_intro zenon_Hb | zenon_intro zenon_H372 ].
% 20.23/20.41 exact (zenon_Hb zenon_Hc).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H311 | zenon_intro zenon_H373 ].
% 20.23/20.41 exact (zenon_H311 zenon_H30c).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H369 | zenon_intro zenon_H310 ].
% 20.23/20.41 apply (zenon_L304_); trivial.
% 20.23/20.41 exact (zenon_H310 zenon_H30a).
% 20.23/20.41 apply (zenon_L262_); trivial.
% 20.23/20.41 (* end of lemma zenon_L305_ *)
% 20.23/20.41 assert (zenon_L306_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H35e zenon_H35f zenon_H308 zenon_Hae zenon_H2f9 zenon_H307 zenon_Ha3.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.41 apply (zenon_L302_); trivial.
% 20.23/20.41 apply (zenon_L303_); trivial.
% 20.23/20.41 apply (zenon_L305_); trivial.
% 20.23/20.41 (* end of lemma zenon_L306_ *)
% 20.23/20.41 assert (zenon_L307_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (c2_1 (a1083)) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.41 do 0 intro. intros zenon_H8c zenon_H157 zenon_H158 zenon_H1f6 zenon_H156 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.41 apply (zenon_L35_); trivial.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.41 apply (zenon_L127_); trivial.
% 20.23/20.41 apply (zenon_L36_); trivial.
% 20.23/20.41 (* end of lemma zenon_L307_ *)
% 20.23/20.41 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.41 do 0 intro. intros zenon_Ha0 zenon_H203 zenon_H1f1 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.41 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.41 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.42 apply (zenon_L307_); trivial.
% 20.23/20.42 apply (zenon_L267_); trivial.
% 20.23/20.42 (* end of lemma zenon_L308_ *)
% 20.23/20.42 assert (zenon_L309_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp42)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (ndr1_0) -> (~(hskp38)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H1f1 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H10e zenon_H10c zenon_Hc zenon_H2f zenon_H124 zenon_H1dd.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.42 apply (zenon_L118_); trivial.
% 20.23/20.42 apply (zenon_L308_); trivial.
% 20.23/20.42 (* end of lemma zenon_L309_ *)
% 20.23/20.42 assert (zenon_L310_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1037))) -> (~(hskp38)) -> (ndr1_0) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H124 zenon_H2f zenon_Hc zenon_H10c zenon_H10e zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.42 apply (zenon_L309_); trivial.
% 20.23/20.42 apply (zenon_L139_); trivial.
% 20.23/20.42 (* end of lemma zenon_L310_ *)
% 20.23/20.42 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (~(hskp43)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Hbf zenon_H203 zenon_H1f1 zenon_Hee zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_Hdd zenon_Hf1 zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.42 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.42 apply (zenon_L129_); trivial.
% 20.23/20.42 apply (zenon_L267_); trivial.
% 20.23/20.42 (* end of lemma zenon_L311_ *)
% 20.23/20.42 assert (zenon_L312_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H93 zenon_H8f zenon_H8c zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.42 apply (zenon_L39_); trivial.
% 20.23/20.42 apply (zenon_L311_); trivial.
% 20.23/20.42 (* end of lemma zenon_L312_ *)
% 20.23/20.42 assert (zenon_L313_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1059)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H84 zenon_Hc zenon_H342 zenon_H1f6 zenon_H341 zenon_H340.
% 20.23/20.42 generalize (zenon_H84 (a1059)). zenon_intro zenon_H374.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H374); [ zenon_intro zenon_Hb | zenon_intro zenon_H375 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H347 | zenon_intro zenon_H376 ].
% 20.23/20.42 exact (zenon_H347 zenon_H342).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H377 | zenon_intro zenon_H346 ].
% 20.23/20.42 generalize (zenon_H1f6 (a1059)). zenon_intro zenon_H378.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H378); [ zenon_intro zenon_Hb | zenon_intro zenon_H379 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H348 | zenon_intro zenon_H37a ].
% 20.23/20.42 exact (zenon_H341 zenon_H348).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H37b | zenon_intro zenon_H347 ].
% 20.23/20.42 exact (zenon_H377 zenon_H37b).
% 20.23/20.42 exact (zenon_H347 zenon_H342).
% 20.23/20.42 exact (zenon_H346 zenon_H340).
% 20.23/20.42 (* end of lemma zenon_L313_ *)
% 20.23/20.42 assert (zenon_L314_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (c2_1 (a1059)) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H8c zenon_H340 zenon_H341 zenon_H1f6 zenon_H342 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.42 apply (zenon_L61_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.42 apply (zenon_L313_); trivial.
% 20.23/20.42 apply (zenon_L64_); trivial.
% 20.23/20.42 (* end of lemma zenon_L314_ *)
% 20.23/20.42 assert (zenon_L315_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H11b zenon_H203 zenon_H1f1 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.42 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.42 apply (zenon_L314_); trivial.
% 20.23/20.42 apply (zenon_L267_); trivial.
% 20.23/20.42 (* end of lemma zenon_L315_ *)
% 20.23/20.42 assert (zenon_L316_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H121 zenon_H342 zenon_H341 zenon_H340 zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.42 apply (zenon_L312_); trivial.
% 20.23/20.42 apply (zenon_L315_); trivial.
% 20.23/20.42 (* end of lemma zenon_L316_ *)
% 20.23/20.42 assert (zenon_L317_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H340 zenon_H341 zenon_H342 zenon_H121 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.42 apply (zenon_L310_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.42 apply (zenon_L316_); trivial.
% 20.23/20.42 apply (zenon_L139_); trivial.
% 20.23/20.42 (* end of lemma zenon_L317_ *)
% 20.23/20.42 assert (zenon_L318_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H340 zenon_H341 zenon_H342 zenon_H121 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.42 apply (zenon_L68_); trivial.
% 20.23/20.42 apply (zenon_L317_); trivial.
% 20.23/20.42 (* end of lemma zenon_L318_ *)
% 20.23/20.42 assert (zenon_L319_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.42 apply (zenon_L306_); trivial.
% 20.23/20.42 apply (zenon_L318_); trivial.
% 20.23/20.42 (* end of lemma zenon_L319_ *)
% 20.23/20.42 assert (zenon_L320_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H250 zenon_Hc zenon_H84 zenon_H342 zenon_H340.
% 20.23/20.42 generalize (zenon_H250 (a1059)). zenon_intro zenon_H380.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H380); [ zenon_intro zenon_Hb | zenon_intro zenon_H381 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H37b | zenon_intro zenon_H382 ].
% 20.23/20.42 generalize (zenon_H84 (a1059)). zenon_intro zenon_H374.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H374); [ zenon_intro zenon_Hb | zenon_intro zenon_H375 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H347 | zenon_intro zenon_H376 ].
% 20.23/20.42 exact (zenon_H347 zenon_H342).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H377 | zenon_intro zenon_H346 ].
% 20.23/20.42 exact (zenon_H377 zenon_H37b).
% 20.23/20.42 exact (zenon_H346 zenon_H340).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H347 | zenon_intro zenon_H346 ].
% 20.23/20.42 exact (zenon_H347 zenon_H342).
% 20.23/20.42 exact (zenon_H346 zenon_H340).
% 20.23/20.42 (* end of lemma zenon_L320_ *)
% 20.23/20.42 assert (zenon_L321_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H8c zenon_H340 zenon_H342 zenon_H250 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.42 apply (zenon_L35_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.42 apply (zenon_L320_); trivial.
% 20.23/20.42 apply (zenon_L36_); trivial.
% 20.23/20.42 (* end of lemma zenon_L321_ *)
% 20.23/20.42 assert (zenon_L322_ : (forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H270 zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.23/20.42 generalize (zenon_H270 (a1032)). zenon_intro zenon_H383.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H383); [ zenon_intro zenon_Hb | zenon_intro zenon_H384 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H35d | zenon_intro zenon_H385 ].
% 20.23/20.42 apply (zenon_L298_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H386 | zenon_intro zenon_H364 ].
% 20.23/20.42 exact (zenon_H37f zenon_H386).
% 20.23/20.42 exact (zenon_H35f zenon_H364).
% 20.23/20.42 (* end of lemma zenon_L322_ *)
% 20.23/20.42 assert (zenon_L323_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H273 zenon_H96 zenon_H94 zenon_H95 zenon_H342 zenon_H340 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.42 apply (zenon_L321_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.42 apply (zenon_L275_); trivial.
% 20.23/20.42 apply (zenon_L322_); trivial.
% 20.23/20.42 (* end of lemma zenon_L323_ *)
% 20.23/20.42 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H32b zenon_H32a zenon_H329 zenon_H342 zenon_H340 zenon_H8c zenon_H341 zenon_H166.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.42 apply (zenon_L323_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.42 apply (zenon_L292_); trivial.
% 20.23/20.42 exact (zenon_H15f zenon_H160).
% 20.23/20.42 apply (zenon_L91_); trivial.
% 20.23/20.42 (* end of lemma zenon_L324_ *)
% 20.23/20.42 assert (zenon_L325_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (ndr1_0) -> (~(hskp38)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Ha3 zenon_H183 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H10e zenon_H10c zenon_Hc zenon_H2f zenon_H124 zenon_H1dd.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.42 apply (zenon_L289_); trivial.
% 20.23/20.42 apply (zenon_L324_); trivial.
% 20.23/20.42 (* end of lemma zenon_L325_ *)
% 20.23/20.42 assert (zenon_L326_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H8c zenon_H340 zenon_H342 zenon_H250 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.42 apply (zenon_L61_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.42 apply (zenon_L320_); trivial.
% 20.23/20.42 apply (zenon_L64_); trivial.
% 20.23/20.42 (* end of lemma zenon_L326_ *)
% 20.23/20.42 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H11b zenon_Ha3 zenon_H166 zenon_H341 zenon_H8c zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.42 apply (zenon_L326_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.42 apply (zenon_L275_); trivial.
% 20.23/20.42 apply (zenon_L322_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.42 apply (zenon_L292_); trivial.
% 20.23/20.42 exact (zenon_H15f zenon_H160).
% 20.23/20.42 apply (zenon_L89_); trivial.
% 20.23/20.42 apply (zenon_L324_); trivial.
% 20.23/20.42 (* end of lemma zenon_L327_ *)
% 20.23/20.42 assert (zenon_L328_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H121 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_Hfb zenon_Hcc zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc5.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.42 apply (zenon_L134_); trivial.
% 20.23/20.42 apply (zenon_L327_); trivial.
% 20.23/20.42 (* end of lemma zenon_L328_ *)
% 20.23/20.42 assert (zenon_L329_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.42 apply (zenon_L325_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.42 apply (zenon_L328_); trivial.
% 20.23/20.42 apply (zenon_L139_); trivial.
% 20.23/20.42 (* end of lemma zenon_L329_ *)
% 20.23/20.42 assert (zenon_L330_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.42 apply (zenon_L68_); trivial.
% 20.23/20.42 apply (zenon_L329_); trivial.
% 20.23/20.42 (* end of lemma zenon_L330_ *)
% 20.23/20.42 assert (zenon_L331_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H332 zenon_H387 zenon_H273 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_Hcc zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H33e zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H183 zenon_H358 zenon_Hc9 zenon_H5b zenon_H4c zenon_H47 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H132.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.42 apply (zenon_L297_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.42 apply (zenon_L47_); trivial.
% 20.23/20.42 apply (zenon_L329_); trivial.
% 20.23/20.42 apply (zenon_L330_); trivial.
% 20.23/20.42 (* end of lemma zenon_L331_ *)
% 20.23/20.42 assert (zenon_L332_ : ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H293 zenon_H249 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H12f zenon_H328 zenon_H387 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H33e zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H183 zenon_H358 zenon_H6 zenon_H5 zenon_H273 zenon_H335 zenon_H2df.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.23/20.42 apply (zenon_L70_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.42 apply (zenon_L3_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.42 apply (zenon_L297_); trivial.
% 20.23/20.42 apply (zenon_L319_); trivial.
% 20.23/20.42 apply (zenon_L331_); trivial.
% 20.23/20.42 apply (zenon_L206_); trivial.
% 20.23/20.42 (* end of lemma zenon_L332_ *)
% 20.23/20.42 assert (zenon_L333_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb zenon_H132.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.23/20.42 apply (zenon_L207_); trivial.
% 20.23/20.42 (* end of lemma zenon_L333_ *)
% 20.23/20.42 assert (zenon_L334_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c3_1 (a1071)) -> (~(c2_1 (a1071))) -> (c0_1 (a1071)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H10b zenon_Hc zenon_H34a zenon_H34b zenon_H349.
% 20.23/20.42 generalize (zenon_H10b (a1071)). zenon_intro zenon_H388.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H388); [ zenon_intro zenon_Hb | zenon_intro zenon_H389 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H351 | zenon_intro zenon_H38a ].
% 20.23/20.42 exact (zenon_H351 zenon_H34a).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H350 | zenon_intro zenon_H34f ].
% 20.23/20.42 exact (zenon_H34b zenon_H350).
% 20.23/20.42 exact (zenon_H34f zenon_H349).
% 20.23/20.42 (* end of lemma zenon_L334_ *)
% 20.23/20.42 assert (zenon_L335_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (c1_1 (a1071)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H2a0 zenon_Hc zenon_H10b zenon_H34a zenon_H349 zenon_H35c.
% 20.23/20.42 generalize (zenon_H2a0 (a1071)). zenon_intro zenon_H38b.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H38b); [ zenon_intro zenon_Hb | zenon_intro zenon_H38c ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H34b | zenon_intro zenon_H38d ].
% 20.23/20.42 apply (zenon_L334_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H38e | zenon_intro zenon_H351 ].
% 20.23/20.42 exact (zenon_H38e zenon_H35c).
% 20.23/20.42 exact (zenon_H351 zenon_H34a).
% 20.23/20.42 (* end of lemma zenon_L335_ *)
% 20.23/20.42 assert (zenon_L336_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (c1_1 (a1071)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H29e zenon_Hc zenon_H10b zenon_H34a zenon_H349 zenon_H35c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.23/20.42 apply (zenon_L208_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.23/20.42 exact (zenon_H29e zenon_H29f).
% 20.23/20.42 apply (zenon_L335_); trivial.
% 20.23/20.42 (* end of lemma zenon_L336_ *)
% 20.23/20.42 assert (zenon_L337_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp38)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H359 zenon_H1dd zenon_H29e zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H2f zenon_H10e zenon_H10c zenon_H124.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.42 apply (zenon_L336_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.42 exact (zenon_H2f zenon_H30).
% 20.23/20.42 apply (zenon_L117_); trivial.
% 20.23/20.42 (* end of lemma zenon_L337_ *)
% 20.23/20.42 assert (zenon_L338_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.23/20.42 apply (zenon_L286_); trivial.
% 20.23/20.42 apply (zenon_L337_); trivial.
% 20.23/20.42 apply (zenon_L215_); trivial.
% 20.23/20.42 (* end of lemma zenon_L338_ *)
% 20.23/20.42 assert (zenon_L339_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.42 apply (zenon_L68_); trivial.
% 20.23/20.42 apply (zenon_L338_); trivial.
% 20.23/20.42 (* end of lemma zenon_L339_ *)
% 20.23/20.42 assert (zenon_L340_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.42 apply (zenon_L217_); trivial.
% 20.23/20.42 apply (zenon_L339_); trivial.
% 20.23/20.42 (* end of lemma zenon_L340_ *)
% 20.23/20.42 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Ha0 zenon_H203 zenon_H1f1 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.42 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.42 apply (zenon_L35_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.42 apply (zenon_L313_); trivial.
% 20.23/20.42 apply (zenon_L36_); trivial.
% 20.23/20.42 apply (zenon_L267_); trivial.
% 20.23/20.42 (* end of lemma zenon_L341_ *)
% 20.23/20.42 assert (zenon_L342_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1037))) -> (~(hskp38)) -> (ndr1_0) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H124 zenon_H2f zenon_Hc zenon_H10c zenon_H10e zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.42 apply (zenon_L289_); trivial.
% 20.23/20.42 apply (zenon_L341_); trivial.
% 20.23/20.42 apply (zenon_L139_); trivial.
% 20.23/20.42 (* end of lemma zenon_L342_ *)
% 20.23/20.42 assert (zenon_L343_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.42 apply (zenon_L342_); trivial.
% 20.23/20.42 apply (zenon_L215_); trivial.
% 20.23/20.42 (* end of lemma zenon_L343_ *)
% 20.23/20.42 assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.42 apply (zenon_L68_); trivial.
% 20.23/20.42 apply (zenon_L343_); trivial.
% 20.23/20.42 (* end of lemma zenon_L344_ *)
% 20.23/20.42 assert (zenon_L345_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.42 apply (zenon_L306_); trivial.
% 20.23/20.42 apply (zenon_L344_); trivial.
% 20.23/20.42 (* end of lemma zenon_L345_ *)
% 20.23/20.42 assert (zenon_L346_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.42 apply (zenon_L3_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.42 apply (zenon_L340_); trivial.
% 20.23/20.42 apply (zenon_L345_); trivial.
% 20.23/20.42 (* end of lemma zenon_L346_ *)
% 20.23/20.42 assert (zenon_L347_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.42 apply (zenon_L325_); trivial.
% 20.23/20.42 apply (zenon_L215_); trivial.
% 20.23/20.42 (* end of lemma zenon_L347_ *)
% 20.23/20.42 assert (zenon_L348_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.42 apply (zenon_L68_); trivial.
% 20.23/20.42 apply (zenon_L347_); trivial.
% 20.23/20.42 (* end of lemma zenon_L348_ *)
% 20.23/20.42 assert (zenon_L349_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H332 zenon_H387 zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H273 zenon_H183 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.42 apply (zenon_L340_); trivial.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.42 apply (zenon_L217_); trivial.
% 20.23/20.42 apply (zenon_L348_); trivial.
% 20.23/20.42 (* end of lemma zenon_L349_ *)
% 20.23/20.42 assert (zenon_L350_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H319 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H387 zenon_H328.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.42 apply (zenon_L346_); trivial.
% 20.23/20.42 apply (zenon_L349_); trivial.
% 20.23/20.42 (* end of lemma zenon_L350_ *)
% 20.23/20.42 assert (zenon_L351_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H273 zenon_H335.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.23/20.42 apply (zenon_L350_); trivial.
% 20.23/20.42 apply (zenon_L223_); trivial.
% 20.23/20.42 (* end of lemma zenon_L351_ *)
% 20.23/20.42 assert (zenon_L352_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H2f2 zenon_Hc zenon_H2e3 zenon_H2e1 zenon_H2e2.
% 20.23/20.42 generalize (zenon_H2f2 (a1077)). zenon_intro zenon_H38f.
% 20.23/20.42 apply (zenon_imply_s _ _ zenon_H38f); [ zenon_intro zenon_Hb | zenon_intro zenon_H390 ].
% 20.23/20.42 exact (zenon_Hb zenon_Hc).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H391 ].
% 20.23/20.42 exact (zenon_H2e7 zenon_H2e3).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2e9 ].
% 20.23/20.42 exact (zenon_H2e1 zenon_H2e8).
% 20.23/20.42 exact (zenon_H2e2 zenon_H2e9).
% 20.23/20.42 (* end of lemma zenon_L352_ *)
% 20.23/20.42 assert (zenon_L353_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.42 apply (zenon_L253_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.42 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.42 apply (zenon_L352_); trivial.
% 20.23/20.42 apply (zenon_L257_); trivial.
% 20.23/20.42 (* end of lemma zenon_L353_ *)
% 20.23/20.42 assert (zenon_L354_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hae zenon_H2f9 zenon_H307.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.42 apply (zenon_L353_); trivial.
% 20.23/20.42 apply (zenon_L305_); trivial.
% 20.23/20.42 (* end of lemma zenon_L354_ *)
% 20.23/20.42 assert (zenon_L355_ : ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (ndr1_0) -> (c2_1 (a1059)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Hf1 zenon_Hdd zenon_Ha6 zenon_Ha5 zenon_Hc zenon_H342 zenon_H1f6 zenon_H341 zenon_H340 zenon_H8c zenon_Hee.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf4 ].
% 20.23/20.42 exact (zenon_Hdd zenon_Hde).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hef ].
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.42 apply (zenon_L126_); trivial.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.42 apply (zenon_L313_); trivial.
% 20.23/20.42 apply (zenon_L128_); trivial.
% 20.23/20.42 exact (zenon_Hee zenon_Hef).
% 20.23/20.42 (* end of lemma zenon_L355_ *)
% 20.23/20.42 assert (zenon_L356_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (~(hskp43)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Hbf zenon_H203 zenon_H1f1 zenon_Hee zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_Hdd zenon_Hf1 zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.42 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.42 apply (zenon_L355_); trivial.
% 20.23/20.42 apply (zenon_L267_); trivial.
% 20.23/20.42 (* end of lemma zenon_L356_ *)
% 20.23/20.42 assert (zenon_L357_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H340 zenon_H341 zenon_H342 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H93 zenon_H8f zenon_H8c zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.42 apply (zenon_L39_); trivial.
% 20.23/20.42 apply (zenon_L356_); trivial.
% 20.23/20.42 (* end of lemma zenon_L357_ *)
% 20.23/20.42 assert (zenon_L358_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H121 zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_H1f1 zenon_Hf1 zenon_H342 zenon_H341 zenon_H340 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.42 apply (zenon_L357_); trivial.
% 20.23/20.42 apply (zenon_L315_); trivial.
% 20.23/20.42 (* end of lemma zenon_L358_ *)
% 20.23/20.42 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H340 zenon_H341 zenon_H342 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H121.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.42 apply (zenon_L358_); trivial.
% 20.23/20.42 apply (zenon_L139_); trivial.
% 20.23/20.42 (* end of lemma zenon_L359_ *)
% 20.23/20.42 assert (zenon_L360_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.42 apply (zenon_L342_); trivial.
% 20.23/20.42 apply (zenon_L359_); trivial.
% 20.23/20.42 (* end of lemma zenon_L360_ *)
% 20.23/20.42 assert (zenon_L361_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.42 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.43 apply (zenon_L68_); trivial.
% 20.23/20.43 apply (zenon_L360_); trivial.
% 20.23/20.43 (* end of lemma zenon_L361_ *)
% 20.23/20.43 assert (zenon_L362_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H325 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L354_); trivial.
% 20.23/20.43 apply (zenon_L361_); trivial.
% 20.23/20.43 (* end of lemma zenon_L362_ *)
% 20.23/20.43 assert (zenon_L363_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.43 apply (zenon_L3_); trivial.
% 20.23/20.43 apply (zenon_L362_); trivial.
% 20.23/20.43 (* end of lemma zenon_L363_ *)
% 20.23/20.43 assert (zenon_L364_ : ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H293 zenon_H249 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H12f zenon_H328 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H319 zenon_H6 zenon_H5 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H273 zenon_H387 zenon_H335 zenon_H2df.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.23/20.43 apply (zenon_L70_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.43 apply (zenon_L363_); trivial.
% 20.23/20.43 apply (zenon_L331_); trivial.
% 20.23/20.43 apply (zenon_L206_); trivial.
% 20.23/20.43 (* end of lemma zenon_L364_ *)
% 20.23/20.43 assert (zenon_L365_ : (~(hskp23)) -> (hskp23) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H392 zenon_H393.
% 20.23/20.43 exact (zenon_H392 zenon_H393).
% 20.23/20.43 (* end of lemma zenon_L365_ *)
% 20.23/20.43 assert (zenon_L366_ : (forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (c0_1 (a1062)) -> (c2_1 (a1062)) -> (c3_1 (a1062)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H394 zenon_Hc zenon_H30c zenon_H30a zenon_H30b.
% 20.23/20.43 generalize (zenon_H394 (a1062)). zenon_intro zenon_H395.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H395); [ zenon_intro zenon_Hb | zenon_intro zenon_H396 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H311 | zenon_intro zenon_H397 ].
% 20.23/20.43 exact (zenon_H311 zenon_H30c).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H310 | zenon_intro zenon_H312 ].
% 20.23/20.43 exact (zenon_H310 zenon_H30a).
% 20.23/20.43 exact (zenon_H312 zenon_H30b).
% 20.23/20.43 (* end of lemma zenon_L366_ *)
% 20.23/20.43 assert (zenon_L367_ : ((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp33)) -> (~(hskp23)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H316 zenon_H398 zenon_H1c5 zenon_H392.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Hc. zenon_intro zenon_H317.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H30b. zenon_intro zenon_H318.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H30a. zenon_intro zenon_H30c.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H399 ].
% 20.23/20.43 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H393 | zenon_intro zenon_H394 ].
% 20.23/20.43 exact (zenon_H392 zenon_H393).
% 20.23/20.43 apply (zenon_L366_); trivial.
% 20.23/20.43 (* end of lemma zenon_L367_ *)
% 20.23/20.43 assert (zenon_L368_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> (~(hskp33)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H319 zenon_H398 zenon_H392 zenon_H1c5 zenon_H249 zenon_Hdd zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_Hae zenon_H2f9 zenon_H307.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.43 apply (zenon_L258_); trivial.
% 20.23/20.43 apply (zenon_L367_); trivial.
% 20.23/20.43 (* end of lemma zenon_L368_ *)
% 20.23/20.43 assert (zenon_L369_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp33)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hdd zenon_H249 zenon_H1c5 zenon_H392 zenon_H398 zenon_H319.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L368_); trivial.
% 20.23/20.43 apply (zenon_L361_); trivial.
% 20.23/20.43 (* end of lemma zenon_L369_ *)
% 20.23/20.43 assert (zenon_L370_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H325 zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.43 apply (zenon_L369_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L264_); trivial.
% 20.23/20.43 apply (zenon_L361_); trivial.
% 20.23/20.43 (* end of lemma zenon_L370_ *)
% 20.23/20.43 assert (zenon_L371_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H328 zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.43 apply (zenon_L3_); trivial.
% 20.23/20.43 apply (zenon_L370_); trivial.
% 20.23/20.43 (* end of lemma zenon_L371_ *)
% 20.23/20.43 assert (zenon_L372_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.43 apply (zenon_L294_); trivial.
% 20.23/20.43 apply (zenon_L276_); trivial.
% 20.23/20.43 (* end of lemma zenon_L372_ *)
% 20.23/20.43 assert (zenon_L373_ : ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H12f zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H183 zenon_H358 zenon_Hc9 zenon_H5b zenon_H4c zenon_H47 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hae zenon_Hc0 zenon_Hc5 zenon_Hc8.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.43 apply (zenon_L47_); trivial.
% 20.23/20.43 apply (zenon_L372_); trivial.
% 20.23/20.43 (* end of lemma zenon_L373_ *)
% 20.23/20.43 assert (zenon_L374_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358 zenon_H47 zenon_H4c.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.43 apply (zenon_L68_); trivial.
% 20.23/20.43 apply (zenon_L372_); trivial.
% 20.23/20.43 (* end of lemma zenon_L374_ *)
% 20.23/20.43 assert (zenon_L375_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H255 zenon_H25e zenon_H256 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.43 apply (zenon_L325_); trivial.
% 20.23/20.43 apply (zenon_L276_); trivial.
% 20.23/20.43 (* end of lemma zenon_L375_ *)
% 20.23/20.43 assert (zenon_L376_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H255 zenon_H25e zenon_H256 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.43 apply (zenon_L68_); trivial.
% 20.23/20.43 apply (zenon_L375_); trivial.
% 20.23/20.43 (* end of lemma zenon_L376_ *)
% 20.23/20.43 assert (zenon_L377_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H332 zenon_H387 zenon_H12f zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H33e zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H183 zenon_H358 zenon_Hc9 zenon_H5b zenon_H4c zenon_H47 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H132.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L373_); trivial.
% 20.23/20.43 apply (zenon_L374_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.43 apply (zenon_L47_); trivial.
% 20.23/20.43 apply (zenon_L375_); trivial.
% 20.23/20.43 apply (zenon_L376_); trivial.
% 20.23/20.43 (* end of lemma zenon_L377_ *)
% 20.23/20.43 assert (zenon_L378_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))) -> (ndr1_0) -> (c3_1 (a1088)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1088))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H2f2 zenon_Hc zenon_H39a zenon_H14c zenon_H39b.
% 20.23/20.43 generalize (zenon_H2f2 (a1088)). zenon_intro zenon_H39c.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H39c); [ zenon_intro zenon_Hb | zenon_intro zenon_H39d ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H39f | zenon_intro zenon_H39e ].
% 20.23/20.43 exact (zenon_H39f zenon_H39a).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H3a1 | zenon_intro zenon_H3a0 ].
% 20.23/20.43 generalize (zenon_H14c (a1088)). zenon_intro zenon_H3a2.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3a2); [ zenon_intro zenon_Hb | zenon_intro zenon_H3a3 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3a3); [ zenon_intro zenon_H3a5 | zenon_intro zenon_H3a4 ].
% 20.23/20.43 exact (zenon_H3a5 zenon_H3a1).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3a4); [ zenon_intro zenon_H39f | zenon_intro zenon_H3a0 ].
% 20.23/20.43 exact (zenon_H39f zenon_H39a).
% 20.23/20.43 exact (zenon_H39b zenon_H3a0).
% 20.23/20.43 exact (zenon_H39b zenon_H3a0).
% 20.23/20.43 (* end of lemma zenon_L378_ *)
% 20.23/20.43 assert (zenon_L379_ : ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp59)) -> (ndr1_0) -> (c3_1 (a1088)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1088))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H2f0 zenon_Hc zenon_H39a zenon_H14c zenon_H39b.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.43 apply (zenon_L253_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.43 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.43 apply (zenon_L378_); trivial.
% 20.23/20.43 (* end of lemma zenon_L379_ *)
% 20.23/20.43 assert (zenon_L380_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (~(hskp57)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_H342 zenon_H340 zenon_H341 zenon_H15f zenon_H166.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.43 apply (zenon_L379_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.43 apply (zenon_L292_); trivial.
% 20.23/20.43 exact (zenon_H15f zenon_H160).
% 20.23/20.43 apply (zenon_L257_); trivial.
% 20.23/20.43 (* end of lemma zenon_L380_ *)
% 20.23/20.43 assert (zenon_L381_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.43 apply (zenon_L380_); trivial.
% 20.23/20.43 apply (zenon_L89_); trivial.
% 20.23/20.43 (* end of lemma zenon_L381_ *)
% 20.23/20.43 assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.43 apply (zenon_L380_); trivial.
% 20.23/20.43 apply (zenon_L91_); trivial.
% 20.23/20.43 (* end of lemma zenon_L382_ *)
% 20.23/20.43 assert (zenon_L383_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f9 zenon_H307 zenon_Ha3.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.43 apply (zenon_L381_); trivial.
% 20.23/20.43 apply (zenon_L382_); trivial.
% 20.23/20.43 apply (zenon_L305_); trivial.
% 20.23/20.43 (* end of lemma zenon_L383_ *)
% 20.23/20.43 assert (zenon_L384_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H325 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L383_); trivial.
% 20.23/20.43 apply (zenon_L361_); trivial.
% 20.23/20.43 (* end of lemma zenon_L384_ *)
% 20.23/20.43 assert (zenon_L385_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.43 apply (zenon_L3_); trivial.
% 20.23/20.43 apply (zenon_L384_); trivial.
% 20.23/20.43 (* end of lemma zenon_L385_ *)
% 20.23/20.43 assert (zenon_L386_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (ndr1_0) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H3a6 zenon_H39b zenon_H39a zenon_Hc zenon_Hae zenon_H2f9 zenon_H307.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.43 generalize (zenon_H2ec (a1088)). zenon_intro zenon_H3a7.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3a7); [ zenon_intro zenon_Hb | zenon_intro zenon_H3a8 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H39f | zenon_intro zenon_H3a9 ].
% 20.23/20.43 exact (zenon_H39f zenon_H39a).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3aa ].
% 20.23/20.43 exact (zenon_H39b zenon_H3a0).
% 20.23/20.43 exact (zenon_H3aa zenon_H3a6).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.43 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.43 apply (zenon_L352_); trivial.
% 20.23/20.43 apply (zenon_L257_); trivial.
% 20.23/20.43 apply (zenon_L305_); trivial.
% 20.23/20.43 (* end of lemma zenon_L386_ *)
% 20.23/20.43 assert (zenon_L387_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (ndr1_0) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H183 zenon_H358 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_Hc zenon_H39a zenon_H39b zenon_H3a6 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L386_); trivial.
% 20.23/20.43 apply (zenon_L374_); trivial.
% 20.23/20.43 (* end of lemma zenon_L387_ *)
% 20.23/20.43 assert (zenon_L388_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H332 zenon_H387 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H3a6 zenon_H39b zenon_H39a zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H358 zenon_H183 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H33e zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8 zenon_H12f zenon_H132.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.43 apply (zenon_L387_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.43 apply (zenon_L386_); trivial.
% 20.23/20.43 apply (zenon_L376_); trivial.
% 20.23/20.43 (* end of lemma zenon_L388_ *)
% 20.23/20.43 assert (zenon_L389_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H387 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H358 zenon_H33e zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H5 zenon_H6 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.43 apply (zenon_L385_); trivial.
% 20.23/20.43 apply (zenon_L388_); trivial.
% 20.23/20.43 (* end of lemma zenon_L389_ *)
% 20.23/20.43 assert (zenon_L390_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_H335 zenon_H387 zenon_H273 zenon_H33e zenon_H166 zenon_H183 zenon_H358 zenon_Hc9 zenon_H5b zenon_H3b zenon_H31 zenon_H33 zenon_Hc0 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_Hdd zenon_H249 zenon_H398 zenon_H319 zenon_H23b zenon_H328 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H3ae.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.43 apply (zenon_L371_); trivial.
% 20.23/20.43 apply (zenon_L377_); trivial.
% 20.23/20.43 apply (zenon_L389_); trivial.
% 20.23/20.43 apply (zenon_L206_); trivial.
% 20.23/20.43 (* end of lemma zenon_L390_ *)
% 20.23/20.43 assert (zenon_L391_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H3af zenon_H3ae zenon_H23b zenon_H398 zenon_H2de zenon_H2b9 zenon_H2ab zenon_H2a6 zenon_H293 zenon_H249 zenon_H132 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_Hc9 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H11c zenon_H121 zenon_H12f zenon_H328 zenon_H387 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H33e zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H183 zenon_H358 zenon_H6 zenon_H5 zenon_H273 zenon_H335 zenon_H2df zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H265 zenon_H137 zenon_H2e0 zenon_H3b0.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.23/20.43 apply (zenon_L332_); trivial.
% 20.23/20.43 apply (zenon_L333_); trivial.
% 20.23/20.43 apply (zenon_L351_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.23/20.43 apply (zenon_L332_); trivial.
% 20.23/20.43 apply (zenon_L248_); trivial.
% 20.23/20.43 apply (zenon_L351_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.23/20.43 apply (zenon_L364_); trivial.
% 20.23/20.43 apply (zenon_L390_); trivial.
% 20.23/20.43 apply (zenon_L351_); trivial.
% 20.23/20.43 (* end of lemma zenon_L391_ *)
% 20.23/20.43 assert (zenon_L392_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H325 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H9 zenon_Hf.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.43 apply (zenon_L11_); trivial.
% 20.23/20.43 (* end of lemma zenon_L392_ *)
% 20.23/20.43 assert (zenon_L393_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H328 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H9 zenon_Hf zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.43 apply (zenon_L3_); trivial.
% 20.23/20.43 apply (zenon_L392_); trivial.
% 20.23/20.43 (* end of lemma zenon_L393_ *)
% 20.23/20.43 assert (zenon_L394_ : (forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (c3_1 (a1103)) -> (c2_1 (a1103)) -> (c1_1 (a1103)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H62 zenon_Hc zenon_He9 zenon_He2 zenon_He0.
% 20.23/20.43 generalize (zenon_H62 (a1103)). zenon_intro zenon_H3b7.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3b7); [ zenon_intro zenon_Hb | zenon_intro zenon_H3b8 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_Hed | zenon_intro zenon_H3b9 ].
% 20.23/20.43 exact (zenon_Hed zenon_He9).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ].
% 20.23/20.43 exact (zenon_He7 zenon_He2).
% 20.23/20.43 exact (zenon_He6 zenon_He0).
% 20.23/20.43 (* end of lemma zenon_L394_ *)
% 20.23/20.43 assert (zenon_L395_ : ((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp54)) -> (~(hskp47)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hf0 zenon_H6c zenon_H5e zenon_H60.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hc. zenon_intro zenon_Hf2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_He2. zenon_intro zenon_Hf3.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_He9. zenon_intro zenon_He0.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5f | zenon_intro zenon_H6d ].
% 20.23/20.43 exact (zenon_H5e zenon_H5f).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 20.23/20.43 exact (zenon_H60 zenon_H61).
% 20.23/20.43 apply (zenon_L394_); trivial.
% 20.23/20.43 (* end of lemma zenon_L395_ *)
% 20.23/20.43 assert (zenon_L396_ : ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_Hd zenon_H9 zenon_Hf zenon_Hdc.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.43 apply (zenon_L51_); trivial.
% 20.23/20.43 apply (zenon_L395_); trivial.
% 20.23/20.43 (* end of lemma zenon_L396_ *)
% 20.23/20.43 assert (zenon_L397_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.43 apply (zenon_L396_); trivial.
% 20.23/20.43 apply (zenon_L10_); trivial.
% 20.23/20.43 (* end of lemma zenon_L397_ *)
% 20.23/20.43 assert (zenon_L398_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.43 apply (zenon_L397_); trivial.
% 20.23/20.43 apply (zenon_L33_); trivial.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.43 apply (zenon_L397_); trivial.
% 20.23/20.43 apply (zenon_L37_); trivial.
% 20.23/20.43 (* end of lemma zenon_L398_ *)
% 20.23/20.43 assert (zenon_L399_ : (forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H270 zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.43 generalize (zenon_H270 (a1055)). zenon_intro zenon_H3bd.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3bd); [ zenon_intro zenon_Hb | zenon_intro zenon_H3be ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H3c0 | zenon_intro zenon_H3bf ].
% 20.23/20.43 exact (zenon_H3ba zenon_H3c0).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c1 ].
% 20.23/20.43 exact (zenon_H3bb zenon_H3c2).
% 20.23/20.43 exact (zenon_H3bc zenon_H3c1).
% 20.23/20.43 (* end of lemma zenon_L399_ *)
% 20.23/20.43 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hbf zenon_H273 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.43 apply (zenon_L201_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.43 apply (zenon_L275_); trivial.
% 20.23/20.43 apply (zenon_L399_); trivial.
% 20.23/20.43 (* end of lemma zenon_L400_ *)
% 20.23/20.43 assert (zenon_L401_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H332 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.43 apply (zenon_L398_); trivial.
% 20.23/20.43 apply (zenon_L400_); trivial.
% 20.23/20.43 (* end of lemma zenon_L401_ *)
% 20.23/20.43 assert (zenon_L402_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H335 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_Ha3 zenon_H5 zenon_H6 zenon_Hf zenon_H9 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H328.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.43 apply (zenon_L393_); trivial.
% 20.23/20.43 apply (zenon_L401_); trivial.
% 20.23/20.43 (* end of lemma zenon_L402_ *)
% 20.23/20.43 assert (zenon_L403_ : (forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81)))))) -> (ndr1_0) -> (c3_1 (a1105)) -> (~(c2_1 (a1105))) -> (c1_1 (a1105)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H2ec zenon_Hc zenon_Hd4 zenon_Hd3 zenon_Hd5.
% 20.23/20.43 generalize (zenon_H2ec (a1105)). zenon_intro zenon_H3c3.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3c3); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c4 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_Hda | zenon_intro zenon_H3c5 ].
% 20.23/20.43 exact (zenon_Hda zenon_Hd4).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hd9 ].
% 20.23/20.43 exact (zenon_Hd3 zenon_Hdb).
% 20.23/20.43 exact (zenon_Hd9 zenon_Hd5).
% 20.23/20.43 (* end of lemma zenon_L403_ *)
% 20.23/20.43 assert (zenon_L404_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))) -> (ndr1_0) -> (c3_1 (a1105)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1105))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H2f2 zenon_Hc zenon_Hd4 zenon_H14c zenon_Hd3.
% 20.23/20.43 generalize (zenon_H2f2 (a1105)). zenon_intro zenon_H3c6.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3c6); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c7 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3c7); [ zenon_intro zenon_Hda | zenon_intro zenon_H3c8 ].
% 20.23/20.43 exact (zenon_Hda zenon_Hd4).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3c8); [ zenon_intro zenon_H3c9 | zenon_intro zenon_Hdb ].
% 20.23/20.43 generalize (zenon_H14c (a1105)). zenon_intro zenon_H3ca.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3ca); [ zenon_intro zenon_Hb | zenon_intro zenon_H3cb ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3cb); [ zenon_intro zenon_H3cc | zenon_intro zenon_H202 ].
% 20.23/20.43 exact (zenon_H3cc zenon_H3c9).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdb ].
% 20.23/20.43 exact (zenon_Hda zenon_Hd4).
% 20.23/20.43 exact (zenon_Hd3 zenon_Hdb).
% 20.23/20.43 exact (zenon_Hd3 zenon_Hdb).
% 20.23/20.43 (* end of lemma zenon_L404_ *)
% 20.23/20.43 assert (zenon_L405_ : ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1105)) -> (~(hskp59)) -> (ndr1_0) -> (c3_1 (a1105)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1105))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H308 zenon_Hd5 zenon_H2f0 zenon_Hc zenon_Hd4 zenon_H14c zenon_Hd3.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.43 apply (zenon_L403_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.43 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.43 apply (zenon_L404_); trivial.
% 20.23/20.43 (* end of lemma zenon_L405_ *)
% 20.23/20.43 assert (zenon_L406_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp59)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(hskp57)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hd0 zenon_H166 zenon_H2f0 zenon_H308 zenon_H158 zenon_H157 zenon_H156 zenon_H15f.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.43 apply (zenon_L405_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.43 apply (zenon_L79_); trivial.
% 20.23/20.43 exact (zenon_H15f zenon_H160).
% 20.23/20.43 (* end of lemma zenon_L406_ *)
% 20.23/20.43 assert (zenon_L407_ : ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp57)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(hskp59)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp62)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hdc zenon_H166 zenon_H15f zenon_H158 zenon_H157 zenon_H156 zenon_H2f0 zenon_H308 zenon_Hcd zenon_Hd zenon_Hcc.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.43 apply (zenon_L49_); trivial.
% 20.23/20.43 apply (zenon_L406_); trivial.
% 20.23/20.43 (* end of lemma zenon_L407_ *)
% 20.23/20.43 assert (zenon_L408_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_Hd zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.43 apply (zenon_L407_); trivial.
% 20.23/20.43 apply (zenon_L395_); trivial.
% 20.23/20.43 apply (zenon_L257_); trivial.
% 20.23/20.43 apply (zenon_L89_); trivial.
% 20.23/20.43 (* end of lemma zenon_L408_ *)
% 20.23/20.43 assert (zenon_L409_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.43 apply (zenon_L408_); trivial.
% 20.23/20.43 apply (zenon_L10_); trivial.
% 20.23/20.43 apply (zenon_L33_); trivial.
% 20.23/20.43 (* end of lemma zenon_L409_ *)
% 20.23/20.43 assert (zenon_L410_ : (forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68)))))) -> (ndr1_0) -> (c1_1 (a1103)) -> (c2_1 (a1103)) -> (c3_1 (a1103)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Ha4 zenon_Hc zenon_He0 zenon_He2 zenon_He9.
% 20.23/20.43 generalize (zenon_Ha4 (a1103)). zenon_intro zenon_H3cd.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3cd); [ zenon_intro zenon_Hb | zenon_intro zenon_H3ce ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_He6 | zenon_intro zenon_H3cf ].
% 20.23/20.43 exact (zenon_He6 zenon_He0).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_He7 | zenon_intro zenon_Hed ].
% 20.23/20.43 exact (zenon_He7 zenon_He2).
% 20.23/20.43 exact (zenon_Hed zenon_He9).
% 20.23/20.43 (* end of lemma zenon_L410_ *)
% 20.23/20.43 assert (zenon_L411_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))) -> (ndr1_0) -> (c1_1 (a1103)) -> (~(c0_1 (a1103))) -> (c3_1 (a1103)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hb0 zenon_Hc zenon_He0 zenon_He1 zenon_He9.
% 20.23/20.43 generalize (zenon_Hb0 (a1103)). zenon_intro zenon_H3d0.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_H3d0); [ zenon_intro zenon_Hb | zenon_intro zenon_H3d1 ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3d1); [ zenon_intro zenon_He6 | zenon_intro zenon_H3d2 ].
% 20.23/20.43 exact (zenon_He6 zenon_He0).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H3d2); [ zenon_intro zenon_He8 | zenon_intro zenon_Hed ].
% 20.23/20.43 exact (zenon_He1 zenon_He8).
% 20.23/20.43 exact (zenon_Hed zenon_He9).
% 20.23/20.43 (* end of lemma zenon_L411_ *)
% 20.23/20.43 assert (zenon_L412_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1103)) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))) -> (c1_1 (a1103)) -> (c3_1 (a1103)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H84 zenon_Hc zenon_He2 zenon_Hb0 zenon_He0 zenon_He9.
% 20.23/20.43 generalize (zenon_H84 (a1103)). zenon_intro zenon_Hea.
% 20.23/20.43 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_Hb | zenon_intro zenon_Heb ].
% 20.23/20.43 exact (zenon_Hb zenon_Hc).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He7 | zenon_intro zenon_Hec ].
% 20.23/20.43 exact (zenon_He7 zenon_He2).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He1 | zenon_intro zenon_Hed ].
% 20.23/20.43 apply (zenon_L411_); trivial.
% 20.23/20.43 exact (zenon_Hed zenon_He9).
% 20.23/20.43 (* end of lemma zenon_L412_ *)
% 20.23/20.43 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hf0 zenon_Hc0 zenon_Hae zenon_H8c zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hc. zenon_intro zenon_Hf2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_He2. zenon_intro zenon_Hf3.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_He9. zenon_intro zenon_He0.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ].
% 20.23/20.43 apply (zenon_L410_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 20.23/20.43 exact (zenon_Hae zenon_Haf).
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.43 apply (zenon_L35_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.43 apply (zenon_L412_); trivial.
% 20.23/20.43 apply (zenon_L36_); trivial.
% 20.23/20.43 (* end of lemma zenon_L413_ *)
% 20.23/20.43 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Ha0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_Hae zenon_H8c zenon_Hc0 zenon_Hfb zenon_H183.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.43 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.43 apply (zenon_L407_); trivial.
% 20.23/20.43 apply (zenon_L413_); trivial.
% 20.23/20.43 apply (zenon_L257_); trivial.
% 20.23/20.43 apply (zenon_L91_); trivial.
% 20.23/20.43 apply (zenon_L10_); trivial.
% 20.23/20.43 (* end of lemma zenon_L414_ *)
% 20.23/20.43 assert (zenon_L415_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hae zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.43 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.43 apply (zenon_L409_); trivial.
% 20.23/20.43 apply (zenon_L414_); trivial.
% 20.23/20.43 apply (zenon_L305_); trivial.
% 20.23/20.43 apply (zenon_L45_); trivial.
% 20.23/20.43 (* end of lemma zenon_L415_ *)
% 20.23/20.43 assert (zenon_L416_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.43 do 0 intro. intros zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H142 zenon_H141 zenon_H140 zenon_H26c zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.43 apply (zenon_L201_); trivial.
% 20.23/20.43 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.43 apply (zenon_L176_); trivial.
% 20.23/20.44 apply (zenon_L399_); trivial.
% 20.23/20.44 (* end of lemma zenon_L416_ *)
% 20.23/20.44 assert (zenon_L417_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hbf zenon_H277 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H8c zenon_H273 zenon_H275.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.44 apply (zenon_L201_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.44 apply (zenon_L416_); trivial.
% 20.23/20.44 exact (zenon_H275 zenon_H276).
% 20.23/20.44 (* end of lemma zenon_L417_ *)
% 20.23/20.44 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H1ee zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.44 apply (zenon_L39_); trivial.
% 20.23/20.44 apply (zenon_L417_); trivial.
% 20.23/20.44 (* end of lemma zenon_L418_ *)
% 20.23/20.44 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.44 apply (zenon_L73_); trivial.
% 20.23/20.44 apply (zenon_L418_); trivial.
% 20.23/20.44 (* end of lemma zenon_L419_ *)
% 20.23/20.44 assert (zenon_L420_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H6c zenon_H138 zenon_H135 zenon_H137 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.44 apply (zenon_L310_); trivial.
% 20.23/20.44 apply (zenon_L419_); trivial.
% 20.23/20.44 (* end of lemma zenon_L420_ *)
% 20.23/20.44 assert (zenon_L421_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H6c zenon_H138 zenon_H135 zenon_H137 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.44 apply (zenon_L68_); trivial.
% 20.23/20.44 apply (zenon_L420_); trivial.
% 20.23/20.44 (* end of lemma zenon_L421_ *)
% 20.23/20.44 assert (zenon_L422_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H138 zenon_H135 zenon_H137 zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.44 apply (zenon_L3_); trivial.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.44 apply (zenon_L415_); trivial.
% 20.23/20.44 apply (zenon_L421_); trivial.
% 20.23/20.44 (* end of lemma zenon_L422_ *)
% 20.23/20.44 assert (zenon_L423_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a1105))) -> (c1_1 (a1105)) -> (c3_1 (a1105)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H24a zenon_Hc zenon_Hd3 zenon_Hd5 zenon_Hd4.
% 20.23/20.44 generalize (zenon_H24a (a1105)). zenon_intro zenon_H3d3.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3d3); [ zenon_intro zenon_Hb | zenon_intro zenon_H3d4 ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3d4); [ zenon_intro zenon_Hdb | zenon_intro zenon_H3d5 ].
% 20.23/20.44 exact (zenon_Hd3 zenon_Hdb).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3d5); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hda ].
% 20.23/20.44 exact (zenon_Hd9 zenon_Hd5).
% 20.23/20.44 exact (zenon_Hda zenon_Hd4).
% 20.23/20.44 (* end of lemma zenon_L423_ *)
% 20.23/20.44 assert (zenon_L424_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29))))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H25d zenon_Hc zenon_H14b zenon_H3bb zenon_H3bc.
% 20.23/20.44 generalize (zenon_H25d (a1055)). zenon_intro zenon_H3d6.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3d6); [ zenon_intro zenon_Hb | zenon_intro zenon_H3d7 ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H3d8 | zenon_intro zenon_H3bf ].
% 20.23/20.44 generalize (zenon_H14b (a1055)). zenon_intro zenon_H3d9.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3d9); [ zenon_intro zenon_Hb | zenon_intro zenon_H3da ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3db ].
% 20.23/20.44 exact (zenon_H3bb zenon_H3c2).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3dc | zenon_intro zenon_H3c1 ].
% 20.23/20.44 exact (zenon_H3d8 zenon_H3dc).
% 20.23/20.44 exact (zenon_H3bc zenon_H3c1).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c1 ].
% 20.23/20.44 exact (zenon_H3bb zenon_H3c2).
% 20.23/20.44 exact (zenon_H3bc zenon_H3c1).
% 20.23/20.44 (* end of lemma zenon_L424_ *)
% 20.23/20.44 assert (zenon_L425_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp58)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hd0 zenon_H165 zenon_H263 zenon_H3bb zenon_H3bc zenon_H265 zenon_H161 zenon_H163.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.44 apply (zenon_L423_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.44 apply (zenon_L424_); trivial.
% 20.23/20.44 exact (zenon_H263 zenon_H264).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.23/20.44 exact (zenon_H161 zenon_H162).
% 20.23/20.44 exact (zenon_H163 zenon_H164).
% 20.23/20.44 (* end of lemma zenon_L425_ *)
% 20.23/20.44 assert (zenon_L426_ : ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp58)) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_Hd zenon_H265 zenon_H263 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.44 apply (zenon_L49_); trivial.
% 20.23/20.44 apply (zenon_L425_); trivial.
% 20.23/20.44 apply (zenon_L395_); trivial.
% 20.23/20.44 (* end of lemma zenon_L426_ *)
% 20.23/20.44 assert (zenon_L427_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H282 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.44 apply (zenon_L181_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.44 apply (zenon_L275_); trivial.
% 20.23/20.44 apply (zenon_L399_); trivial.
% 20.23/20.44 (* end of lemma zenon_L427_ *)
% 20.23/20.44 assert (zenon_L428_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.44 apply (zenon_L426_); trivial.
% 20.23/20.44 apply (zenon_L427_); trivial.
% 20.23/20.44 (* end of lemma zenon_L428_ *)
% 20.23/20.44 assert (zenon_L429_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.44 apply (zenon_L428_); trivial.
% 20.23/20.44 apply (zenon_L10_); trivial.
% 20.23/20.44 apply (zenon_L33_); trivial.
% 20.23/20.44 (* end of lemma zenon_L429_ *)
% 20.23/20.44 assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H34a zenon_H349 zenon_H156 zenon_H157 zenon_H158 zenon_H166.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.44 apply (zenon_L291_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.44 apply (zenon_L79_); trivial.
% 20.23/20.44 exact (zenon_H15f zenon_H160).
% 20.23/20.44 apply (zenon_L91_); trivial.
% 20.23/20.44 (* end of lemma zenon_L430_ *)
% 20.23/20.44 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H183 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.44 apply (zenon_L429_); trivial.
% 20.23/20.44 apply (zenon_L430_); trivial.
% 20.23/20.44 (* end of lemma zenon_L431_ *)
% 20.23/20.44 assert (zenon_L432_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H84 zenon_Hc zenon_H10b zenon_H34a zenon_H349.
% 20.23/20.44 generalize (zenon_H84 (a1071)). zenon_intro zenon_H352.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H352); [ zenon_intro zenon_Hb | zenon_intro zenon_H353 ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H34b | zenon_intro zenon_H354 ].
% 20.23/20.44 apply (zenon_L334_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H34f | zenon_intro zenon_H351 ].
% 20.23/20.44 exact (zenon_H34f zenon_H349).
% 20.23/20.44 exact (zenon_H351 zenon_H34a).
% 20.23/20.44 (* end of lemma zenon_L432_ *)
% 20.23/20.44 assert (zenon_L433_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H8c zenon_H349 zenon_H34a zenon_H10b zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.44 apply (zenon_L35_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.44 apply (zenon_L432_); trivial.
% 20.23/20.44 apply (zenon_L36_); trivial.
% 20.23/20.44 (* end of lemma zenon_L433_ *)
% 20.23/20.44 assert (zenon_L434_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Ha0 zenon_H1dd zenon_H34a zenon_H349 zenon_H8c zenon_H2f zenon_H1df zenon_H1e0 zenon_H1e1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.23/20.44 apply (zenon_L433_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.23/20.44 exact (zenon_H2f zenon_H30).
% 20.23/20.44 apply (zenon_L120_); trivial.
% 20.23/20.44 (* end of lemma zenon_L434_ *)
% 20.23/20.44 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> (c0_1 (a1044)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(hskp38)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H10e zenon_H10c zenon_H2f zenon_H124 zenon_H1dd.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.44 apply (zenon_L118_); trivial.
% 20.23/20.44 apply (zenon_L434_); trivial.
% 20.23/20.44 (* end of lemma zenon_L435_ *)
% 20.23/20.44 assert (zenon_L436_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp38)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H1e8 zenon_H358 zenon_Ha3 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H2f zenon_H1dd zenon_H338 zenon_H10c zenon_H124 zenon_H10e zenon_H33e.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.23/20.44 apply (zenon_L286_); trivial.
% 20.23/20.44 apply (zenon_L435_); trivial.
% 20.23/20.44 (* end of lemma zenon_L436_ *)
% 20.23/20.44 assert (zenon_L437_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hc4 zenon_H273 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.44 apply (zenon_L244_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.44 apply (zenon_L275_); trivial.
% 20.23/20.44 apply (zenon_L399_); trivial.
% 20.23/20.44 (* end of lemma zenon_L437_ *)
% 20.23/20.44 assert (zenon_L438_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc5 zenon_H33e zenon_H338 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H183 zenon_Ha3 zenon_H358 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.44 apply (zenon_L73_); trivial.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.23/20.44 apply (zenon_L77_); trivial.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.23/20.44 apply (zenon_L286_); trivial.
% 20.23/20.44 apply (zenon_L431_); trivial.
% 20.23/20.44 apply (zenon_L400_); trivial.
% 20.23/20.44 apply (zenon_L100_); trivial.
% 20.23/20.44 apply (zenon_L112_); trivial.
% 20.23/20.44 apply (zenon_L436_); trivial.
% 20.23/20.44 apply (zenon_L437_); trivial.
% 20.23/20.44 (* end of lemma zenon_L438_ *)
% 20.23/20.44 assert (zenon_L439_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc5 zenon_H33e zenon_H338 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H183 zenon_Ha3 zenon_H358 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.44 apply (zenon_L68_); trivial.
% 20.23/20.44 apply (zenon_L438_); trivial.
% 20.23/20.44 (* end of lemma zenon_L439_ *)
% 20.23/20.44 assert (zenon_L440_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H33e zenon_H338 zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H358 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.44 apply (zenon_L415_); trivial.
% 20.23/20.44 apply (zenon_L439_); trivial.
% 20.23/20.44 (* end of lemma zenon_L440_ *)
% 20.23/20.44 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H22b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hfc zenon_H11c zenon_H121 zenon_H1dd zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.44 apply (zenon_L415_); trivial.
% 20.23/20.44 apply (zenon_L156_); trivial.
% 20.23/20.44 (* end of lemma zenon_L441_ *)
% 20.23/20.44 assert (zenon_L442_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H23c zenon_Hfc zenon_H11c zenon_H121 zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H19e zenon_H358 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H338 zenon_H33e zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc8 zenon_H12f zenon_H132.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.44 apply (zenon_L440_); trivial.
% 20.23/20.44 apply (zenon_L441_); trivial.
% 20.23/20.44 (* end of lemma zenon_L442_ *)
% 20.23/20.44 assert (zenon_L443_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (c2_1 (a1042)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H6e zenon_Hc zenon_H142 zenon_H267 zenon_H141 zenon_H140.
% 20.23/20.44 generalize (zenon_H6e (a1042)). zenon_intro zenon_H3dd.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3dd); [ zenon_intro zenon_Hb | zenon_intro zenon_H3de ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3de); [ zenon_intro zenon_H147 | zenon_intro zenon_H3df ].
% 20.23/20.44 exact (zenon_H147 zenon_H142).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3df); [ zenon_intro zenon_H268 | zenon_intro zenon_H146 ].
% 20.23/20.44 apply (zenon_L175_); trivial.
% 20.23/20.44 exact (zenon_H146 zenon_H140).
% 20.23/20.44 (* end of lemma zenon_L443_ *)
% 20.23/20.44 assert (zenon_L444_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H140 zenon_H141 zenon_H142 zenon_H6e zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.44 apply (zenon_L181_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.44 apply (zenon_L443_); trivial.
% 20.23/20.44 apply (zenon_L399_); trivial.
% 20.23/20.44 (* end of lemma zenon_L444_ *)
% 20.23/20.44 assert (zenon_L445_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H282 zenon_H8f zenon_H3bc zenon_H3bb zenon_H3ba zenon_H142 zenon_H141 zenon_H140 zenon_H273 zenon_H78 zenon_H157 zenon_H158 zenon_H156.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.44 apply (zenon_L444_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.44 exact (zenon_H78 zenon_H79).
% 20.23/20.44 apply (zenon_L115_); trivial.
% 20.23/20.44 (* end of lemma zenon_L445_ *)
% 20.23/20.44 assert (zenon_L446_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.44 apply (zenon_L426_); trivial.
% 20.23/20.44 apply (zenon_L445_); trivial.
% 20.23/20.44 (* end of lemma zenon_L446_ *)
% 20.23/20.44 assert (zenon_L447_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(hskp53)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H78 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.44 apply (zenon_L446_); trivial.
% 20.23/20.44 apply (zenon_L10_); trivial.
% 20.23/20.44 (* end of lemma zenon_L447_ *)
% 20.23/20.44 assert (zenon_L448_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H93 zenon_H8c zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.44 apply (zenon_L447_); trivial.
% 20.23/20.44 apply (zenon_L33_); trivial.
% 20.23/20.44 (* end of lemma zenon_L448_ *)
% 20.23/20.44 assert (zenon_L449_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (c2_1 (a1042)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1042))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H155 zenon_Hc zenon_H142 zenon_H267 zenon_H141.
% 20.23/20.44 generalize (zenon_H155 (a1042)). zenon_intro zenon_H3e0.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3e0); [ zenon_intro zenon_Hb | zenon_intro zenon_H3e1 ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3e1); [ zenon_intro zenon_H147 | zenon_intro zenon_H3e2 ].
% 20.23/20.44 exact (zenon_H147 zenon_H142).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3e2); [ zenon_intro zenon_H268 | zenon_intro zenon_H148 ].
% 20.23/20.44 apply (zenon_L175_); trivial.
% 20.23/20.44 exact (zenon_H141 zenon_H148).
% 20.23/20.44 (* end of lemma zenon_L449_ *)
% 20.23/20.44 assert (zenon_L450_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H141 zenon_H142 zenon_H155 zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.44 apply (zenon_L181_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.44 apply (zenon_L449_); trivial.
% 20.23/20.44 apply (zenon_L399_); trivial.
% 20.23/20.44 (* end of lemma zenon_L450_ *)
% 20.23/20.44 assert (zenon_L451_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp57)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1073)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H282 zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hdc zenon_H166 zenon_H15f zenon_H142 zenon_H141 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H308 zenon_Hd zenon_Hcc zenon_Hae zenon_H8c zenon_H96 zenon_H95 zenon_H94 zenon_Hc0 zenon_Hfb.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.44 apply (zenon_L49_); trivial.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.44 apply (zenon_L405_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.44 apply (zenon_L450_); trivial.
% 20.23/20.44 exact (zenon_H15f zenon_H160).
% 20.23/20.44 apply (zenon_L413_); trivial.
% 20.23/20.44 apply (zenon_L257_); trivial.
% 20.23/20.44 (* end of lemma zenon_L451_ *)
% 20.23/20.44 assert (zenon_L452_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp57)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1073)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H285 zenon_H307 zenon_H2f9 zenon_H2f6 zenon_H166 zenon_H15f zenon_H142 zenon_H141 zenon_H3ba zenon_H273 zenon_H308 zenon_Hae zenon_H8c zenon_H96 zenon_H95 zenon_H94 zenon_Hc0 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.44 apply (zenon_L426_); trivial.
% 20.23/20.44 apply (zenon_L451_); trivial.
% 20.23/20.44 (* end of lemma zenon_L452_ *)
% 20.23/20.44 assert (zenon_L453_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1073)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H285 zenon_H307 zenon_H2f9 zenon_H2f6 zenon_H166 zenon_H142 zenon_H141 zenon_H3ba zenon_H273 zenon_H308 zenon_Hae zenon_H8c zenon_H96 zenon_H95 zenon_H94 zenon_Hc0 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb zenon_H183.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.44 apply (zenon_L452_); trivial.
% 20.23/20.44 apply (zenon_L91_); trivial.
% 20.23/20.44 apply (zenon_L10_); trivial.
% 20.23/20.44 (* end of lemma zenon_L453_ *)
% 20.23/20.44 assert (zenon_L454_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_H183 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_Hc0 zenon_H8c zenon_Hae zenon_H308 zenon_H273 zenon_H3ba zenon_H141 zenon_H142 zenon_H166 zenon_H2f6 zenon_H2f9 zenon_H307 zenon_H285 zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.44 apply (zenon_L453_); trivial.
% 20.23/20.44 apply (zenon_L37_); trivial.
% 20.23/20.44 (* end of lemma zenon_L454_ *)
% 20.23/20.44 assert (zenon_L455_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Ha3 zenon_H183 zenon_Hc0 zenon_Hae zenon_H308 zenon_H166 zenon_H2f6 zenon_H2f9 zenon_H307 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.44 apply (zenon_L448_); trivial.
% 20.23/20.44 apply (zenon_L454_); trivial.
% 20.23/20.44 (* end of lemma zenon_L455_ *)
% 20.23/20.44 assert (zenon_L456_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc5 zenon_H277 zenon_H275 zenon_Ha3 zenon_H183 zenon_Hc0 zenon_Hae zenon_H308 zenon_H166 zenon_H2f9 zenon_H307 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93 zenon_H319 zenon_H19e.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.44 apply (zenon_L455_); trivial.
% 20.23/20.44 apply (zenon_L305_); trivial.
% 20.23/20.44 apply (zenon_L417_); trivial.
% 20.23/20.44 apply (zenon_L100_); trivial.
% 20.23/20.44 apply (zenon_L112_); trivial.
% 20.23/20.44 (* end of lemma zenon_L456_ *)
% 20.23/20.44 assert (zenon_L457_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc5 zenon_H277 zenon_H275 zenon_Ha3 zenon_H183 zenon_Hc0 zenon_Hae zenon_H308 zenon_H166 zenon_H2f9 zenon_H307 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93 zenon_H319 zenon_H19e zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.23/20.44 apply (zenon_L77_); trivial.
% 20.23/20.44 apply (zenon_L456_); trivial.
% 20.23/20.44 (* end of lemma zenon_L457_ *)
% 20.23/20.44 assert (zenon_L458_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64))))) -> (ndr1_0) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H25d zenon_Hc zenon_H35e zenon_H37f zenon_H35f.
% 20.23/20.44 generalize (zenon_H25d (a1032)). zenon_intro zenon_H3e3.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3e3); [ zenon_intro zenon_Hb | zenon_intro zenon_H3e4 ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H365 | zenon_intro zenon_H385 ].
% 20.23/20.44 exact (zenon_H365 zenon_H35e).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H386 | zenon_intro zenon_H364 ].
% 20.23/20.44 exact (zenon_H37f zenon_H386).
% 20.23/20.44 exact (zenon_H35f zenon_H364).
% 20.23/20.44 (* end of lemma zenon_L458_ *)
% 20.23/20.44 assert (zenon_L459_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (~(hskp58)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hd0 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H263.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.44 apply (zenon_L423_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.44 apply (zenon_L458_); trivial.
% 20.23/20.44 exact (zenon_H263 zenon_H264).
% 20.23/20.44 (* end of lemma zenon_L459_ *)
% 20.23/20.44 assert (zenon_L460_ : ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp58)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (~(hskp62)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hdc zenon_H265 zenon_H263 zenon_H35f zenon_H37f zenon_H35e zenon_Hcd zenon_Hd zenon_Hcc.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.44 apply (zenon_L49_); trivial.
% 20.23/20.44 apply (zenon_L459_); trivial.
% 20.23/20.44 (* end of lemma zenon_L460_ *)
% 20.23/20.44 assert (zenon_L461_ : ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (~(hskp58)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_Hd zenon_H35e zenon_H37f zenon_H35f zenon_H263 zenon_H265 zenon_Hdc.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.44 apply (zenon_L460_); trivial.
% 20.23/20.44 apply (zenon_L395_); trivial.
% 20.23/20.44 (* end of lemma zenon_L461_ *)
% 20.23/20.44 assert (zenon_L462_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.44 apply (zenon_L461_); trivial.
% 20.23/20.44 apply (zenon_L427_); trivial.
% 20.23/20.44 (* end of lemma zenon_L462_ *)
% 20.23/20.44 assert (zenon_L463_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56))))) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H84 zenon_Hc zenon_H40 zenon_H1df zenon_H1e1 zenon_H1e0.
% 20.23/20.44 generalize (zenon_H84 (a1044)). zenon_intro zenon_H3e5.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3e5); [ zenon_intro zenon_Hb | zenon_intro zenon_H3e6 ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3e8 | zenon_intro zenon_H3e7 ].
% 20.23/20.44 generalize (zenon_H40 (a1044)). zenon_intro zenon_H3e9.
% 20.23/20.44 apply (zenon_imply_s _ _ zenon_H3e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H3ea ].
% 20.23/20.44 exact (zenon_Hb zenon_Hc).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3ea); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H3eb ].
% 20.23/20.44 exact (zenon_H1e5 zenon_H1df).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H3ec | zenon_intro zenon_H1e6 ].
% 20.23/20.44 exact (zenon_H3e8 zenon_H3ec).
% 20.23/20.44 exact (zenon_H1e1 zenon_H1e6).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3e7); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e7 ].
% 20.23/20.44 exact (zenon_H1e5 zenon_H1df).
% 20.23/20.44 exact (zenon_H1e7 zenon_H1e0).
% 20.23/20.44 (* end of lemma zenon_L463_ *)
% 20.23/20.44 assert (zenon_L464_ : ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (ndr1_0) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp21)) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H3b zenon_H37 zenon_H96 zenon_H94 zenon_H95 zenon_Hc zenon_H1df zenon_H1e1 zenon_H1e0 zenon_H8c zenon_H39.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.23/20.44 exact (zenon_H37 zenon_H38).
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.44 apply (zenon_L35_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.44 apply (zenon_L463_); trivial.
% 20.23/20.44 apply (zenon_L36_); trivial.
% 20.23/20.44 exact (zenon_H39 zenon_H3a).
% 20.23/20.44 (* end of lemma zenon_L464_ *)
% 20.23/20.44 assert (zenon_L465_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1081))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H273 zenon_H50 zenon_H4f zenon_H24a zenon_H51 zenon_H32b zenon_H32a zenon_H329 zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.44 apply (zenon_L170_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.44 apply (zenon_L275_); trivial.
% 20.23/20.44 apply (zenon_L399_); trivial.
% 20.23/20.44 (* end of lemma zenon_L465_ *)
% 20.23/20.44 assert (zenon_L466_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_H4b zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.23/20.44 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.44 apply (zenon_L465_); trivial.
% 20.23/20.44 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.44 apply (zenon_L458_); trivial.
% 20.23/20.44 exact (zenon_H263 zenon_H264).
% 20.23/20.44 apply (zenon_L427_); trivial.
% 20.23/20.44 (* end of lemma zenon_L466_ *)
% 20.23/20.44 assert (zenon_L467_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.23/20.44 do 0 intro. intros zenon_Ha0 zenon_H5b zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H39 zenon_H3b.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.45 apply (zenon_L464_); trivial.
% 20.23/20.45 apply (zenon_L466_); trivial.
% 20.23/20.45 (* end of lemma zenon_L467_ *)
% 20.23/20.45 assert (zenon_L468_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Ha3 zenon_H5b zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H39 zenon_H3b zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.45 apply (zenon_L462_); trivial.
% 20.23/20.45 apply (zenon_L10_); trivial.
% 20.23/20.45 apply (zenon_L33_); trivial.
% 20.23/20.45 apply (zenon_L467_); trivial.
% 20.23/20.45 (* end of lemma zenon_L468_ *)
% 20.23/20.45 assert (zenon_L469_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H1e8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H140 zenon_H141 zenon_H142 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_H3b zenon_H39 zenon_H5b zenon_Ha3.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.45 apply (zenon_L468_); trivial.
% 20.23/20.45 apply (zenon_L417_); trivial.
% 20.23/20.45 (* end of lemma zenon_L469_ *)
% 20.23/20.45 assert (zenon_L470_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1034))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H273 zenon_H127 zenon_H126 zenon_H24a zenon_H125 zenon_H32b zenon_H32a zenon_H329 zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.45 apply (zenon_L190_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.45 apply (zenon_L275_); trivial.
% 20.23/20.45 apply (zenon_L399_); trivial.
% 20.23/20.45 (* end of lemma zenon_L470_ *)
% 20.23/20.45 assert (zenon_L471_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H12e zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.45 apply (zenon_L470_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.45 apply (zenon_L458_); trivial.
% 20.23/20.45 exact (zenon_H263 zenon_H264).
% 20.23/20.45 apply (zenon_L427_); trivial.
% 20.23/20.45 (* end of lemma zenon_L471_ *)
% 20.23/20.45 assert (zenon_L472_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H132 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc5 zenon_H277 zenon_H275 zenon_Ha3 zenon_H183 zenon_Hc0 zenon_H308 zenon_H166 zenon_H2f9 zenon_H307 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93 zenon_H319 zenon_H19e zenon_H149 zenon_H5b zenon_H39 zenon_H3b zenon_H35e zenon_H37f zenon_H35f zenon_H329 zenon_H32a zenon_H32b zenon_H1ec zenon_H1eb.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.45 apply (zenon_L73_); trivial.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.45 apply (zenon_L457_); trivial.
% 20.23/20.45 apply (zenon_L469_); trivial.
% 20.23/20.45 apply (zenon_L471_); trivial.
% 20.23/20.45 (* end of lemma zenon_L472_ *)
% 20.23/20.45 assert (zenon_L473_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H155 zenon_Hc zenon_H230 zenon_H22e zenon_H22f.
% 20.23/20.45 generalize (zenon_H155 (a1031)). zenon_intro zenon_H3ed.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H3ed); [ zenon_intro zenon_Hb | zenon_intro zenon_H3ee ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H235 | zenon_intro zenon_H3ef ].
% 20.23/20.45 exact (zenon_H235 zenon_H230).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H234 | zenon_intro zenon_H236 ].
% 20.23/20.45 exact (zenon_H234 zenon_H22e).
% 20.23/20.45 exact (zenon_H22f zenon_H236).
% 20.23/20.45 (* end of lemma zenon_L473_ *)
% 20.23/20.45 assert (zenon_L474_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp59)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(hskp57)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Hd0 zenon_H166 zenon_H2f0 zenon_H308 zenon_H22f zenon_H22e zenon_H230 zenon_H15f.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.45 apply (zenon_L405_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.45 apply (zenon_L473_); trivial.
% 20.23/20.45 exact (zenon_H15f zenon_H160).
% 20.23/20.45 (* end of lemma zenon_L474_ *)
% 20.23/20.45 assert (zenon_L475_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp57)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hdc zenon_H166 zenon_H15f zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.45 apply (zenon_L49_); trivial.
% 20.23/20.45 apply (zenon_L474_); trivial.
% 20.23/20.45 apply (zenon_L395_); trivial.
% 20.23/20.45 apply (zenon_L257_); trivial.
% 20.23/20.45 (* end of lemma zenon_L475_ *)
% 20.23/20.45 assert (zenon_L476_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_Hd zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.45 apply (zenon_L475_); trivial.
% 20.23/20.45 apply (zenon_L89_); trivial.
% 20.23/20.45 (* end of lemma zenon_L476_ *)
% 20.23/20.45 assert (zenon_L477_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.45 apply (zenon_L476_); trivial.
% 20.23/20.45 apply (zenon_L10_); trivial.
% 20.23/20.45 apply (zenon_L33_); trivial.
% 20.23/20.45 (* end of lemma zenon_L477_ *)
% 20.23/20.45 assert (zenon_L478_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_H156 zenon_H157 zenon_H158 zenon_Ha3.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_L477_); trivial.
% 20.23/20.45 apply (zenon_L414_); trivial.
% 20.23/20.45 apply (zenon_L263_); trivial.
% 20.23/20.45 (* end of lemma zenon_L478_ *)
% 20.23/20.45 assert (zenon_L479_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Hc5 zenon_Ha3 zenon_H158 zenon_H157 zenon_H156 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hae zenon_Hdc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.45 apply (zenon_L478_); trivial.
% 20.23/20.45 apply (zenon_L45_); trivial.
% 20.23/20.45 (* end of lemma zenon_L479_ *)
% 20.23/20.45 assert (zenon_L480_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H6e zenon_Hc zenon_H14c zenon_H349 zenon_H34a.
% 20.23/20.45 generalize (zenon_H6e (a1071)). zenon_intro zenon_H3f0.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H3f0); [ zenon_intro zenon_Hb | zenon_intro zenon_H3f1 ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H34b | zenon_intro zenon_H3f2 ].
% 20.23/20.45 apply (zenon_L290_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H351 | zenon_intro zenon_H34f ].
% 20.23/20.45 exact (zenon_H351 zenon_H34a).
% 20.23/20.45 exact (zenon_H34f zenon_H349).
% 20.23/20.45 (* end of lemma zenon_L480_ *)
% 20.23/20.45 assert (zenon_L481_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H166 zenon_H34a zenon_H349 zenon_H6e zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.45 apply (zenon_L480_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.45 apply (zenon_L473_); trivial.
% 20.23/20.45 exact (zenon_H15f zenon_H160).
% 20.23/20.45 (* end of lemma zenon_L481_ *)
% 20.23/20.45 assert (zenon_L482_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (ndr1_0) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H183 zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H34a zenon_H349 zenon_Hc zenon_H78 zenon_H8f.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.45 apply (zenon_L481_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.45 exact (zenon_H78 zenon_H79).
% 20.23/20.45 apply (zenon_L158_); trivial.
% 20.23/20.45 apply (zenon_L89_); trivial.
% 20.23/20.45 (* end of lemma zenon_L482_ *)
% 20.23/20.45 assert (zenon_L483_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H166 zenon_H96 zenon_H94 zenon_H95 zenon_H349 zenon_H34a zenon_H8c zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.45 apply (zenon_L291_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.45 apply (zenon_L473_); trivial.
% 20.23/20.45 exact (zenon_H15f zenon_H160).
% 20.23/20.45 (* end of lemma zenon_L483_ *)
% 20.23/20.45 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_L482_); trivial.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.45 apply (zenon_L483_); trivial.
% 20.23/20.45 apply (zenon_L91_); trivial.
% 20.23/20.45 (* end of lemma zenon_L484_ *)
% 20.23/20.45 assert (zenon_L485_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H120 zenon_H358 zenon_Ha3 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_H33e.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.23/20.45 apply (zenon_L286_); trivial.
% 20.23/20.45 apply (zenon_L484_); trivial.
% 20.23/20.45 (* end of lemma zenon_L485_ *)
% 20.23/20.45 assert (zenon_L486_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H12e zenon_H12f zenon_H358 zenon_Ha3 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_H33e zenon_H47 zenon_H4c.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.45 apply (zenon_L68_); trivial.
% 20.23/20.45 apply (zenon_L485_); trivial.
% 20.23/20.45 (* end of lemma zenon_L486_ *)
% 20.23/20.45 assert (zenon_L487_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H132 zenon_H12f zenon_H358 zenon_H338 zenon_H33e zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_H156 zenon_H157 zenon_H158 zenon_Ha3 zenon_Hc5.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.45 apply (zenon_L479_); trivial.
% 20.23/20.45 apply (zenon_L486_); trivial.
% 20.23/20.45 (* end of lemma zenon_L487_ *)
% 20.23/20.45 assert (zenon_L488_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_Hc5 zenon_Ha3 zenon_H158 zenon_H157 zenon_H156 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H33e zenon_H358 zenon_H12f zenon_H132.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.45 apply (zenon_L487_); trivial.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.45 apply (zenon_L479_); trivial.
% 20.23/20.45 apply (zenon_L471_); trivial.
% 20.23/20.45 (* end of lemma zenon_L488_ *)
% 20.23/20.45 assert (zenon_L489_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H332 zenon_H23b zenon_H23c zenon_Hfc zenon_H11c zenon_H121 zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H19e zenon_H358 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H3ba zenon_H273 zenon_H285 zenon_H33e zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc8 zenon_H12f zenon_H132 zenon_H277 zenon_H275 zenon_H5b zenon_H39 zenon_H3b zenon_H387.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.45 apply (zenon_L442_); trivial.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.45 apply (zenon_L472_); trivial.
% 20.23/20.45 apply (zenon_L441_); trivial.
% 20.23/20.45 apply (zenon_L488_); trivial.
% 20.23/20.45 (* end of lemma zenon_L489_ *)
% 20.23/20.45 assert (zenon_L490_ : (~(hskp5)) -> (hskp5) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H3f3 zenon_H3f4.
% 20.23/20.45 exact (zenon_H3f3 zenon_H3f4).
% 20.23/20.45 (* end of lemma zenon_L490_ *)
% 20.23/20.45 assert (zenon_L491_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(hskp21)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H1f zenon_H3f5 zenon_H212 zenon_H3f3 zenon_H3b zenon_H37 zenon_H39.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f6 ].
% 20.23/20.45 exact (zenon_H212 zenon_H213).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H3f7 ].
% 20.23/20.45 exact (zenon_H3f3 zenon_H3f4).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.23/20.45 exact (zenon_H37 zenon_H38).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.23/20.45 generalize (zenon_H40 (a1084)). zenon_intro zenon_H3f8.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H3f8); [ zenon_intro zenon_Hb | zenon_intro zenon_H3f9 ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f9); [ zenon_intro zenon_H2d | zenon_intro zenon_H3fa ].
% 20.23/20.45 exact (zenon_H2d zenon_H24).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3fa); [ zenon_intro zenon_H3fb | zenon_intro zenon_H2b ].
% 20.23/20.45 generalize (zenon_H3f7 (a1084)). zenon_intro zenon_H3fc.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H3fc); [ zenon_intro zenon_Hb | zenon_intro zenon_H3fd ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H2d | zenon_intro zenon_H3fe ].
% 20.23/20.45 exact (zenon_H2d zenon_H24).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3fe); [ zenon_intro zenon_H3ff | zenon_intro zenon_H2c ].
% 20.23/20.45 exact (zenon_H3ff zenon_H3fb).
% 20.23/20.45 exact (zenon_H23 zenon_H2c).
% 20.23/20.45 exact (zenon_H25 zenon_H2b).
% 20.23/20.45 exact (zenon_H39 zenon_H3a).
% 20.23/20.45 (* end of lemma zenon_L491_ *)
% 20.23/20.45 assert (zenon_L492_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp55)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H2e zenon_H3f5 zenon_H37 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.45 apply (zenon_L396_); trivial.
% 20.23/20.45 apply (zenon_L491_); trivial.
% 20.23/20.45 (* end of lemma zenon_L492_ *)
% 20.23/20.45 assert (zenon_L493_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H47 zenon_H49 zenon_H4c zenon_H5b.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.45 apply (zenon_L492_); trivial.
% 20.23/20.45 apply (zenon_L20_); trivial.
% 20.23/20.45 apply (zenon_L33_); trivial.
% 20.23/20.45 (* end of lemma zenon_L493_ *)
% 20.23/20.45 assert (zenon_L494_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1031))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H250 zenon_Hc zenon_H31d zenon_H230 zenon_H22e.
% 20.23/20.45 generalize (zenon_H250 (a1031)). zenon_intro zenon_H400.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H400); [ zenon_intro zenon_Hb | zenon_intro zenon_H401 ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H401); [ zenon_intro zenon_H321 | zenon_intro zenon_H402 ].
% 20.23/20.45 exact (zenon_H31d zenon_H321).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H402); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ].
% 20.23/20.45 exact (zenon_H235 zenon_H230).
% 20.23/20.45 exact (zenon_H234 zenon_H22e).
% 20.23/20.45 (* end of lemma zenon_L494_ *)
% 20.23/20.45 assert (zenon_L495_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1031)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c3_1 (a1031)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H84 zenon_Hc zenon_H230 zenon_H250 zenon_H22e.
% 20.23/20.45 generalize (zenon_H84 (a1031)). zenon_intro zenon_H31a.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H31a); [ zenon_intro zenon_Hb | zenon_intro zenon_H31b ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H235 | zenon_intro zenon_H31c ].
% 20.23/20.45 exact (zenon_H235 zenon_H230).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H31d | zenon_intro zenon_H234 ].
% 20.23/20.45 apply (zenon_L494_); trivial.
% 20.23/20.45 exact (zenon_H234 zenon_H22e).
% 20.23/20.45 (* end of lemma zenon_L495_ *)
% 20.23/20.45 assert (zenon_L496_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H8c zenon_H22e zenon_H250 zenon_H230 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.45 apply (zenon_L35_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.45 apply (zenon_L495_); trivial.
% 20.23/20.45 apply (zenon_L36_); trivial.
% 20.23/20.45 (* end of lemma zenon_L496_ *)
% 20.23/20.45 assert (zenon_L497_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Ha0 zenon_H273 zenon_H230 zenon_H22e zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.45 apply (zenon_L496_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.45 apply (zenon_L275_); trivial.
% 20.23/20.45 apply (zenon_L399_); trivial.
% 20.23/20.45 (* end of lemma zenon_L497_ *)
% 20.23/20.45 assert (zenon_L498_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H230 zenon_H22e zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_L493_); trivial.
% 20.23/20.45 apply (zenon_L497_); trivial.
% 20.23/20.45 (* end of lemma zenon_L498_ *)
% 20.23/20.45 assert (zenon_L499_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H47 zenon_H49 zenon_H4c zenon_H5b zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.45 apply (zenon_L498_); trivial.
% 20.23/20.45 apply (zenon_L45_); trivial.
% 20.23/20.45 (* end of lemma zenon_L499_ *)
% 20.23/20.45 assert (zenon_L500_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_L160_); trivial.
% 20.23/20.45 apply (zenon_L497_); trivial.
% 20.23/20.45 apply (zenon_L437_); trivial.
% 20.23/20.45 (* end of lemma zenon_L500_ *)
% 20.23/20.45 assert (zenon_L501_ : ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1031))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H12f zenon_Hc8 zenon_H1dd zenon_H22f zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H230 zenon_H22e zenon_H5b zenon_H4c zenon_H47 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_Hae zenon_Hc0 zenon_Hc5.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.45 apply (zenon_L499_); trivial.
% 20.23/20.45 apply (zenon_L500_); trivial.
% 20.23/20.45 (* end of lemma zenon_L501_ *)
% 20.23/20.45 assert (zenon_L502_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c1_1 (a1080))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H25e zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H47 zenon_H4c zenon_H5b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H1dd zenon_Hc8 zenon_H12f zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.45 apply (zenon_L252_); trivial.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.45 apply (zenon_L501_); trivial.
% 20.23/20.45 apply (zenon_L278_); trivial.
% 20.23/20.45 (* end of lemma zenon_L502_ *)
% 20.23/20.45 assert (zenon_L503_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c1_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H335 zenon_H25e zenon_Hc0 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_Hfb zenon_H5b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.45 apply (zenon_L274_); trivial.
% 20.23/20.45 apply (zenon_L502_); trivial.
% 20.23/20.45 (* end of lemma zenon_L503_ *)
% 20.23/20.45 assert (zenon_L504_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1037))) -> (~(hskp38)) -> (ndr1_0) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H124 zenon_H2f zenon_Hc zenon_H10c zenon_H10e zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_L160_); trivial.
% 20.23/20.45 apply (zenon_L308_); trivial.
% 20.23/20.45 apply (zenon_L139_); trivial.
% 20.23/20.45 (* end of lemma zenon_L504_ *)
% 20.23/20.45 assert (zenon_L505_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H121 zenon_H230 zenon_H22f zenon_H22e zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.45 apply (zenon_L312_); trivial.
% 20.23/20.45 apply (zenon_L270_); trivial.
% 20.23/20.45 (* end of lemma zenon_L505_ *)
% 20.23/20.45 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H22e zenon_H22f zenon_H230 zenon_H121.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.45 apply (zenon_L505_); trivial.
% 20.23/20.45 apply (zenon_L139_); trivial.
% 20.23/20.45 (* end of lemma zenon_L506_ *)
% 20.23/20.45 assert (zenon_L507_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.45 apply (zenon_L504_); trivial.
% 20.23/20.45 apply (zenon_L506_); trivial.
% 20.23/20.45 (* end of lemma zenon_L507_ *)
% 20.23/20.45 assert (zenon_L508_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.45 apply (zenon_L68_); trivial.
% 20.23/20.45 apply (zenon_L507_); trivial.
% 20.23/20.45 (* end of lemma zenon_L508_ *)
% 20.23/20.45 assert (zenon_L509_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hdd zenon_H249 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.45 apply (zenon_L264_); trivial.
% 20.23/20.45 apply (zenon_L508_); trivial.
% 20.23/20.45 (* end of lemma zenon_L509_ *)
% 20.23/20.45 assert (zenon_L510_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.45 apply (zenon_L252_); trivial.
% 20.23/20.45 apply (zenon_L509_); trivial.
% 20.23/20.45 (* end of lemma zenon_L510_ *)
% 20.23/20.45 assert (zenon_L511_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.45 apply (zenon_L3_); trivial.
% 20.23/20.45 apply (zenon_L510_); trivial.
% 20.23/20.45 (* end of lemma zenon_L511_ *)
% 20.23/20.45 assert (zenon_L512_ : (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (c0_1 (a1083)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H403 zenon_Hc zenon_H1fe zenon_H156 zenon_H158.
% 20.23/20.45 generalize (zenon_H403 (a1083)). zenon_intro zenon_H404.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H404); [ zenon_intro zenon_Hb | zenon_intro zenon_H405 ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H405); [ zenon_intro zenon_H1fa | zenon_intro zenon_H406 ].
% 20.23/20.45 exact (zenon_H1fa zenon_H1fe).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H406); [ zenon_intro zenon_H15c | zenon_intro zenon_H15d ].
% 20.23/20.45 exact (zenon_H15c zenon_H156).
% 20.23/20.45 exact (zenon_H158 zenon_H15d).
% 20.23/20.45 (* end of lemma zenon_L512_ *)
% 20.23/20.45 assert (zenon_L513_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H250 zenon_Hc zenon_H403 zenon_H156 zenon_H158 zenon_H157.
% 20.23/20.45 generalize (zenon_H250 (a1083)). zenon_intro zenon_H407.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H407); [ zenon_intro zenon_Hb | zenon_intro zenon_H408 ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H408); [ zenon_intro zenon_H1fe | zenon_intro zenon_H409 ].
% 20.23/20.45 apply (zenon_L512_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H409); [ zenon_intro zenon_H15c | zenon_intro zenon_H15e ].
% 20.23/20.45 exact (zenon_H15c zenon_H156).
% 20.23/20.45 exact (zenon_H15e zenon_H157).
% 20.23/20.45 (* end of lemma zenon_L513_ *)
% 20.23/20.45 assert (zenon_L514_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H403 zenon_H32b zenon_H32a zenon_H329 zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.45 apply (zenon_L513_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.45 apply (zenon_L275_); trivial.
% 20.23/20.45 apply (zenon_L399_); trivial.
% 20.23/20.45 (* end of lemma zenon_L514_ *)
% 20.23/20.45 assert (zenon_L515_ : ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c0_1 (a1084)) -> (ndr1_0) -> (~(hskp21)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H3b zenon_H37 zenon_H25 zenon_H23 zenon_H40a zenon_H24 zenon_Hc zenon_H39.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.23/20.45 exact (zenon_H37 zenon_H38).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.23/20.45 generalize (zenon_H40 (a1084)). zenon_intro zenon_H3f8.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H3f8); [ zenon_intro zenon_Hb | zenon_intro zenon_H3f9 ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3f9); [ zenon_intro zenon_H2d | zenon_intro zenon_H3fa ].
% 20.23/20.45 exact (zenon_H2d zenon_H24).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H3fa); [ zenon_intro zenon_H3fb | zenon_intro zenon_H2b ].
% 20.23/20.45 generalize (zenon_H40a (a1084)). zenon_intro zenon_H40b.
% 20.23/20.45 apply (zenon_imply_s _ _ zenon_H40b); [ zenon_intro zenon_Hb | zenon_intro zenon_H40c ].
% 20.23/20.45 exact (zenon_Hb zenon_Hc).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H40c); [ zenon_intro zenon_H3ff | zenon_intro zenon_H2a ].
% 20.23/20.45 exact (zenon_H3ff zenon_H3fb).
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 20.23/20.45 exact (zenon_H2d zenon_H24).
% 20.23/20.45 exact (zenon_H23 zenon_H2c).
% 20.23/20.45 exact (zenon_H25 zenon_H2b).
% 20.23/20.45 exact (zenon_H39 zenon_H3a).
% 20.23/20.45 (* end of lemma zenon_L515_ *)
% 20.23/20.45 assert (zenon_L516_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp47)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(hskp21)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H1f zenon_H40d zenon_H3bc zenon_H3bb zenon_H3ba zenon_H329 zenon_H32a zenon_H32b zenon_H156 zenon_H158 zenon_H157 zenon_H273 zenon_H60 zenon_H3b zenon_H37 zenon_H39.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.23/20.45 apply (zenon_L514_); trivial.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.23/20.45 exact (zenon_H60 zenon_H61).
% 20.23/20.45 apply (zenon_L515_); trivial.
% 20.23/20.45 (* end of lemma zenon_L516_ *)
% 20.23/20.45 assert (zenon_L517_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp55)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H2e zenon_H40d zenon_H37 zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hdc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb zenon_H78 zenon_H8c zenon_H8f zenon_H183.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.45 apply (zenon_L476_); trivial.
% 20.23/20.45 apply (zenon_L516_); trivial.
% 20.23/20.45 (* end of lemma zenon_L517_ *)
% 20.23/20.45 assert (zenon_L518_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hdc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H78 zenon_H8c zenon_H8f zenon_H183 zenon_H47 zenon_H49 zenon_H4c zenon_H5b.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.45 apply (zenon_L517_); trivial.
% 20.23/20.45 apply (zenon_L20_); trivial.
% 20.23/20.45 apply (zenon_L33_); trivial.
% 20.23/20.45 (* end of lemma zenon_L518_ *)
% 20.23/20.45 assert (zenon_L519_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H319 zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H307 zenon_H2f9 zenon_Hae zenon_Hdc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H47 zenon_H49 zenon_H4c zenon_H5b zenon_Ha3.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.45 apply (zenon_L518_); trivial.
% 20.23/20.45 apply (zenon_L497_); trivial.
% 20.23/20.45 apply (zenon_L263_); trivial.
% 20.23/20.45 (* end of lemma zenon_L519_ *)
% 20.23/20.45 assert (zenon_L520_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H237 zenon_H132 zenon_Hc5 zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319 zenon_H1dd zenon_H256 zenon_H25e zenon_H255 zenon_Hc8 zenon_H12f.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.45 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.45 apply (zenon_L519_); trivial.
% 20.23/20.45 apply (zenon_L400_); trivial.
% 20.23/20.45 apply (zenon_L277_); trivial.
% 20.23/20.45 apply (zenon_L278_); trivial.
% 20.23/20.45 (* end of lemma zenon_L520_ *)
% 20.23/20.45 assert (zenon_L521_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1080))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.23/20.45 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_Hc5 zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319 zenon_H1dd zenon_H25e zenon_Hc8 zenon_H12f zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.45 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.45 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.45 apply (zenon_L252_); trivial.
% 20.23/20.45 apply (zenon_L520_); trivial.
% 20.23/20.45 (* end of lemma zenon_L521_ *)
% 20.23/20.45 assert (zenon_L522_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_H335 zenon_Hc0 zenon_H2e zenon_H3f5 zenon_H3b zenon_H3f3 zenon_Hdc zenon_Hf zenon_Hcc zenon_Hfb zenon_H5b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H40d zenon_H166 zenon_H183 zenon_H2df.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.23/20.46 apply (zenon_L503_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.46 apply (zenon_L511_); trivial.
% 20.23/20.46 apply (zenon_L521_); trivial.
% 20.23/20.46 apply (zenon_L206_); trivial.
% 20.23/20.46 (* end of lemma zenon_L522_ *)
% 20.23/20.46 assert (zenon_L523_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58))))) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H40f zenon_Hc zenon_H296 zenon_H297 zenon_H295.
% 20.23/20.46 generalize (zenon_H40f (a1079)). zenon_intro zenon_H410.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H410); [ zenon_intro zenon_Hb | zenon_intro zenon_H411 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_H29d | zenon_intro zenon_H412 ].
% 20.23/20.46 exact (zenon_H29d zenon_H296).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H412); [ zenon_intro zenon_H29c | zenon_intro zenon_H29b ].
% 20.23/20.46 exact (zenon_H297 zenon_H29c).
% 20.23/20.46 exact (zenon_H295 zenon_H29b).
% 20.23/20.46 (* end of lemma zenon_L523_ *)
% 20.23/20.46 assert (zenon_L524_ : (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c3_1 (a1055))) -> (~(c1_1 (a1055))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H413 zenon_Hc zenon_H3ba zenon_H3d8 zenon_H3bb.
% 20.23/20.46 generalize (zenon_H413 (a1055)). zenon_intro zenon_H414.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H414); [ zenon_intro zenon_Hb | zenon_intro zenon_H415 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H3c0 | zenon_intro zenon_H416 ].
% 20.23/20.46 exact (zenon_H3ba zenon_H3c0).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H3dc | zenon_intro zenon_H3c2 ].
% 20.23/20.46 exact (zenon_H3d8 zenon_H3dc).
% 20.23/20.46 exact (zenon_H3bb zenon_H3c2).
% 20.23/20.46 (* end of lemma zenon_L524_ *)
% 20.23/20.46 assert (zenon_L525_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H2f2 zenon_Hc zenon_H413 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.46 generalize (zenon_H2f2 (a1055)). zenon_intro zenon_H417.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H417); [ zenon_intro zenon_Hb | zenon_intro zenon_H418 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H3d8 | zenon_intro zenon_H419 ].
% 20.23/20.46 apply (zenon_L524_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H3c0 | zenon_intro zenon_H3c1 ].
% 20.23/20.46 exact (zenon_H3ba zenon_H3c0).
% 20.23/20.46 exact (zenon_H3bc zenon_H3c1).
% 20.23/20.46 (* end of lemma zenon_L525_ *)
% 20.23/20.46 assert (zenon_L526_ : ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp59)) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H2f0 zenon_Hc zenon_H413 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.46 apply (zenon_L253_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.46 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.46 apply (zenon_L525_); trivial.
% 20.23/20.46 (* end of lemma zenon_L526_ *)
% 20.23/20.46 assert (zenon_L527_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H41a zenon_Hc zenon_H19f zenon_H295 zenon_H297 zenon_H296.
% 20.23/20.46 generalize (zenon_H41a (a1079)). zenon_intro zenon_H41b.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H41b); [ zenon_intro zenon_Hb | zenon_intro zenon_H41c ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H41c); [ zenon_intro zenon_H41e | zenon_intro zenon_H41d ].
% 20.23/20.46 generalize (zenon_H19f (a1079)). zenon_intro zenon_H41f.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H41f); [ zenon_intro zenon_Hb | zenon_intro zenon_H420 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H420); [ zenon_intro zenon_H422 | zenon_intro zenon_H421 ].
% 20.23/20.46 exact (zenon_H422 zenon_H41e).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H421); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ].
% 20.23/20.46 exact (zenon_H295 zenon_H29b).
% 20.23/20.46 exact (zenon_H297 zenon_H29c).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H29d | zenon_intro zenon_H29b ].
% 20.23/20.46 exact (zenon_H29d zenon_H296).
% 20.23/20.46 exact (zenon_H295 zenon_H29b).
% 20.23/20.46 (* end of lemma zenon_L527_ *)
% 20.23/20.46 assert (zenon_L528_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.23/20.46 apply (zenon_L523_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.23/20.46 apply (zenon_L526_); trivial.
% 20.23/20.46 apply (zenon_L527_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.23/20.46 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.46 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.46 apply (zenon_L257_); trivial.
% 20.23/20.46 (* end of lemma zenon_L528_ *)
% 20.23/20.46 assert (zenon_L529_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_Hae zenon_H2f9 zenon_H307.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.46 apply (zenon_L528_); trivial.
% 20.23/20.46 apply (zenon_L367_); trivial.
% 20.23/20.46 (* end of lemma zenon_L529_ *)
% 20.23/20.46 assert (zenon_L530_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H24a zenon_Hc zenon_H11 zenon_H12 zenon_H10.
% 20.23/20.46 generalize (zenon_H24a (a1022)). zenon_intro zenon_H425.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H425); [ zenon_intro zenon_Hb | zenon_intro zenon_H426 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H1a | zenon_intro zenon_H427 ].
% 20.23/20.46 exact (zenon_H11 zenon_H1a).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H427); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 20.23/20.46 exact (zenon_H18 zenon_H12).
% 20.23/20.46 exact (zenon_H19 zenon_H10).
% 20.23/20.46 (* end of lemma zenon_L530_ *)
% 20.23/20.46 assert (zenon_L531_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H263.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.46 apply (zenon_L530_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.46 apply (zenon_L458_); trivial.
% 20.23/20.46 exact (zenon_H263 zenon_H264).
% 20.23/20.46 (* end of lemma zenon_L531_ *)
% 20.23/20.46 assert (zenon_L532_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (c2_1 (a1086)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1086)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H2a0 zenon_Hc zenon_H27a zenon_H7a zenon_H27b.
% 20.23/20.46 generalize (zenon_H2a0 (a1086)). zenon_intro zenon_H428.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H428); [ zenon_intro zenon_Hb | zenon_intro zenon_H429 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H429); [ zenon_intro zenon_H281 | zenon_intro zenon_H42a ].
% 20.23/20.46 exact (zenon_H281 zenon_H27a).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H42a); [ zenon_intro zenon_H42b | zenon_intro zenon_H280 ].
% 20.23/20.46 generalize (zenon_H7a (a1086)). zenon_intro zenon_H42c.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H42c); [ zenon_intro zenon_Hb | zenon_intro zenon_H42d ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H42d); [ zenon_intro zenon_H280 | zenon_intro zenon_H42e ].
% 20.23/20.46 exact (zenon_H280 zenon_H27b).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H42e); [ zenon_intro zenon_H42f | zenon_intro zenon_H281 ].
% 20.23/20.46 exact (zenon_H42b zenon_H42f).
% 20.23/20.46 exact (zenon_H281 zenon_H27a).
% 20.23/20.46 exact (zenon_H280 zenon_H27b).
% 20.23/20.46 (* end of lemma zenon_L532_ *)
% 20.23/20.46 assert (zenon_L533_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> (ndr1_0) -> (c2_1 (a1086)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (c3_1 (a1086)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H29e zenon_Hc zenon_H27a zenon_H7a zenon_H27b.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.23/20.46 apply (zenon_L208_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.23/20.46 exact (zenon_H29e zenon_H29f).
% 20.23/20.46 apply (zenon_L532_); trivial.
% 20.23/20.46 (* end of lemma zenon_L533_ *)
% 20.23/20.46 assert (zenon_L534_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H282 zenon_H8f zenon_H3bc zenon_H3bb zenon_H3ba zenon_H142 zenon_H141 zenon_H140 zenon_H273 zenon_H78 zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H29e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.23/20.46 apply (zenon_L444_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.23/20.46 exact (zenon_H78 zenon_H79).
% 20.23/20.46 apply (zenon_L533_); trivial.
% 20.23/20.46 (* end of lemma zenon_L534_ *)
% 20.23/20.46 assert (zenon_L535_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp53)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (ndr1_0) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H285 zenon_H8f zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H78 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.46 apply (zenon_L531_); trivial.
% 20.23/20.46 apply (zenon_L534_); trivial.
% 20.23/20.46 (* end of lemma zenon_L535_ *)
% 20.23/20.46 assert (zenon_L536_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1037))) -> (~(hskp38)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1eb zenon_Ha3 zenon_H1dd zenon_H124 zenon_H2f zenon_H10c zenon_H10e zenon_H8c zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H8f zenon_H285 zenon_H138 zenon_H135 zenon_H137.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.46 apply (zenon_L73_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.46 apply (zenon_L535_); trivial.
% 20.23/20.46 apply (zenon_L161_); trivial.
% 20.23/20.46 (* end of lemma zenon_L536_ *)
% 20.23/20.46 assert (zenon_L537_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H8f zenon_H29e zenon_H2a6 zenon_H273 zenon_H265 zenon_H8c zenon_H1dd zenon_Ha3 zenon_H1eb zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.46 apply (zenon_L529_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.46 apply (zenon_L68_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.46 apply (zenon_L536_); trivial.
% 20.23/20.46 apply (zenon_L215_); trivial.
% 20.23/20.46 (* end of lemma zenon_L537_ *)
% 20.23/20.46 assert (zenon_L538_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H37c zenon_H132 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.46 apply (zenon_L217_); trivial.
% 20.23/20.46 apply (zenon_L471_); trivial.
% 20.23/20.46 (* end of lemma zenon_L538_ *)
% 20.23/20.46 assert (zenon_L539_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H332 zenon_H387 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.46 apply (zenon_L340_); trivial.
% 20.23/20.46 apply (zenon_L538_); trivial.
% 20.23/20.46 (* end of lemma zenon_L539_ *)
% 20.23/20.46 assert (zenon_L540_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H24a zenon_Hc zenon_H39b zenon_H3a6 zenon_H39a.
% 20.23/20.46 generalize (zenon_H24a (a1088)). zenon_intro zenon_H430.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H430); [ zenon_intro zenon_Hb | zenon_intro zenon_H431 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H431); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H432 ].
% 20.23/20.46 exact (zenon_H39b zenon_H3a0).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_H3aa | zenon_intro zenon_H39f ].
% 20.23/20.46 exact (zenon_H3aa zenon_H3a6).
% 20.23/20.46 exact (zenon_H39f zenon_H39a).
% 20.23/20.46 (* end of lemma zenon_L540_ *)
% 20.23/20.46 assert (zenon_L541_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64))))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H25d zenon_Hc zenon_H413 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.46 generalize (zenon_H25d (a1055)). zenon_intro zenon_H3d6.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H3d6); [ zenon_intro zenon_Hb | zenon_intro zenon_H3d7 ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H3d8 | zenon_intro zenon_H3bf ].
% 20.23/20.46 apply (zenon_L524_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c1 ].
% 20.23/20.46 exact (zenon_H3bb zenon_H3c2).
% 20.23/20.46 exact (zenon_H3bc zenon_H3c1).
% 20.23/20.46 (* end of lemma zenon_L541_ *)
% 20.23/20.46 assert (zenon_L542_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H3bc zenon_H3bb zenon_H3ba zenon_H413 zenon_Hc zenon_H263.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.46 apply (zenon_L540_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.46 apply (zenon_L541_); trivial.
% 20.23/20.46 exact (zenon_H263 zenon_H264).
% 20.23/20.46 (* end of lemma zenon_L542_ *)
% 20.23/20.46 assert (zenon_L543_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (ndr1_0) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp58)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1c7 zenon_H296 zenon_H297 zenon_H295 zenon_Hc zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H3bc zenon_H3bb zenon_H3ba zenon_H263 zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.23/20.46 apply (zenon_L523_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.23/20.46 apply (zenon_L542_); trivial.
% 20.23/20.46 apply (zenon_L527_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.23/20.46 exact (zenon_H1c3 zenon_H1c4).
% 20.23/20.46 exact (zenon_H1c5 zenon_H1c6).
% 20.23/20.46 (* end of lemma zenon_L543_ *)
% 20.23/20.46 assert (zenon_L544_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp53)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H285 zenon_H8f zenon_H29e zenon_H2a6 zenon_H78 zenon_H142 zenon_H141 zenon_H140 zenon_H273 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.46 apply (zenon_L543_); trivial.
% 20.23/20.46 apply (zenon_L534_); trivial.
% 20.23/20.46 (* end of lemma zenon_L544_ *)
% 20.23/20.46 assert (zenon_L545_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H8f zenon_H29e zenon_H2a6 zenon_H273 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8c zenon_H1dd zenon_Ha3 zenon_H1eb zenon_H47 zenon_H4c zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.46 apply (zenon_L217_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.46 apply (zenon_L68_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.23/20.46 apply (zenon_L73_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.46 apply (zenon_L544_); trivial.
% 20.23/20.46 apply (zenon_L161_); trivial.
% 20.23/20.46 apply (zenon_L419_); trivial.
% 20.23/20.46 (* end of lemma zenon_L545_ *)
% 20.23/20.46 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H3ab zenon_H2b9 zenon_H249 zenon_Hdd zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H8f zenon_H2a6 zenon_H273 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H1dd zenon_Ha3 zenon_H1eb zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H23b.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.46 apply (zenon_L545_); trivial.
% 20.23/20.46 apply (zenon_L220_); trivial.
% 20.23/20.46 apply (zenon_L223_); trivial.
% 20.23/20.46 (* end of lemma zenon_L546_ *)
% 20.23/20.46 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H2db zenon_H3ae zenon_H277 zenon_H335 zenon_H5 zenon_H6 zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H273 zenon_H265 zenon_H1eb zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H1c3 zenon_H1c7 zenon_H398 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_Hdd zenon_H249 zenon_H2b9.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.46 apply (zenon_L3_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.46 apply (zenon_L340_); trivial.
% 20.23/20.46 apply (zenon_L537_); trivial.
% 20.23/20.46 apply (zenon_L220_); trivial.
% 20.23/20.46 apply (zenon_L539_); trivial.
% 20.23/20.46 apply (zenon_L223_); trivial.
% 20.23/20.46 apply (zenon_L546_); trivial.
% 20.23/20.46 (* end of lemma zenon_L547_ *)
% 20.23/20.46 assert (zenon_L548_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26c zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.46 apply (zenon_L181_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.46 apply (zenon_L232_); trivial.
% 20.23/20.46 apply (zenon_L399_); trivial.
% 20.23/20.46 (* end of lemma zenon_L548_ *)
% 20.23/20.46 assert (zenon_L549_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H282 zenon_H277 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.46 apply (zenon_L181_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.46 apply (zenon_L548_); trivial.
% 20.23/20.46 exact (zenon_H275 zenon_H276).
% 20.23/20.46 (* end of lemma zenon_L549_ *)
% 20.23/20.46 assert (zenon_L550_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.46 apply (zenon_L426_); trivial.
% 20.23/20.46 apply (zenon_L549_); trivial.
% 20.23/20.46 (* end of lemma zenon_L550_ *)
% 20.23/20.46 assert (zenon_L551_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.46 apply (zenon_L550_); trivial.
% 20.23/20.46 apply (zenon_L10_); trivial.
% 20.23/20.46 (* end of lemma zenon_L551_ *)
% 20.23/20.46 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_H8c zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.46 apply (zenon_L551_); trivial.
% 20.23/20.46 apply (zenon_L37_); trivial.
% 20.23/20.46 (* end of lemma zenon_L552_ *)
% 20.23/20.46 assert (zenon_L553_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H8c zenon_H8f zenon_H93.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.46 apply (zenon_L551_); trivial.
% 20.23/20.46 apply (zenon_L33_); trivial.
% 20.23/20.46 apply (zenon_L552_); trivial.
% 20.23/20.46 (* end of lemma zenon_L553_ *)
% 20.23/20.46 assert (zenon_L554_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.46 apply (zenon_L553_); trivial.
% 20.23/20.46 apply (zenon_L45_); trivial.
% 20.23/20.46 (* end of lemma zenon_L554_ *)
% 20.23/20.46 assert (zenon_L555_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hae zenon_Hc0 zenon_Hc5.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.23/20.46 apply (zenon_L554_); trivial.
% 20.23/20.46 apply (zenon_L100_); trivial.
% 20.23/20.46 (* end of lemma zenon_L555_ *)
% 20.23/20.46 assert (zenon_L556_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H166 zenon_H183 zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3 zenon_H19e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.23/20.46 apply (zenon_L555_); trivial.
% 20.23/20.46 apply (zenon_L112_); trivial.
% 20.23/20.46 (* end of lemma zenon_L556_ *)
% 20.23/20.46 assert (zenon_L557_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H166 zenon_H183 zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3 zenon_H19e zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.23/20.46 apply (zenon_L226_); trivial.
% 20.23/20.46 apply (zenon_L556_); trivial.
% 20.23/20.46 (* end of lemma zenon_L557_ *)
% 20.23/20.46 assert (zenon_L558_ : (~(hskp28)) -> (hskp28) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H433 zenon_H434.
% 20.23/20.46 exact (zenon_H433 zenon_H434).
% 20.23/20.46 (* end of lemma zenon_L558_ *)
% 20.23/20.46 assert (zenon_L559_ : ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp43)) -> (~(hskp27)) -> (~(hskp28)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H435 zenon_Hee zenon_H436 zenon_H433.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_Hef | zenon_intro zenon_H437 ].
% 20.23/20.46 exact (zenon_Hee zenon_Hef).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H437); [ zenon_intro zenon_H438 | zenon_intro zenon_H434 ].
% 20.23/20.46 exact (zenon_H436 zenon_H438).
% 20.23/20.46 exact (zenon_H433 zenon_H434).
% 20.23/20.46 (* end of lemma zenon_L559_ *)
% 20.23/20.46 assert (zenon_L560_ : (forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H33a zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df.
% 20.23/20.46 generalize (zenon_H33a (a1044)). zenon_intro zenon_H439.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H439); [ zenon_intro zenon_Hb | zenon_intro zenon_H43a ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H43b ].
% 20.23/20.46 exact (zenon_H1e7 zenon_H1e0).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ].
% 20.23/20.46 exact (zenon_H1e1 zenon_H1e6).
% 20.23/20.46 exact (zenon_H1e5 zenon_H1df).
% 20.23/20.46 (* end of lemma zenon_L560_ *)
% 20.23/20.46 assert (zenon_L561_ : ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp52)) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H33e zenon_H336 zenon_H338 zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H337 | zenon_intro zenon_H33f ].
% 20.23/20.46 exact (zenon_H336 zenon_H337).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H339 | zenon_intro zenon_H33a ].
% 20.23/20.46 exact (zenon_H338 zenon_H339).
% 20.23/20.46 apply (zenon_L560_); trivial.
% 20.23/20.46 (* end of lemma zenon_L561_ *)
% 20.23/20.46 assert (zenon_L562_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H8c zenon_H349 zenon_H34a zenon_H10b zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.46 apply (zenon_L61_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.46 apply (zenon_L432_); trivial.
% 20.23/20.46 apply (zenon_L64_); trivial.
% 20.23/20.46 (* end of lemma zenon_L562_ *)
% 20.23/20.46 assert (zenon_L563_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H359 zenon_H11c zenon_Hfc zenon_H8c zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.23/20.46 exact (zenon_Hfc zenon_Hfd).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.23/20.46 apply (zenon_L60_); trivial.
% 20.23/20.46 apply (zenon_L562_); trivial.
% 20.23/20.46 (* end of lemma zenon_L563_ *)
% 20.23/20.46 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp12)) -> (~(hskp34)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H11b zenon_H358 zenon_H11c zenon_H8c zenon_Hfc zenon_H338 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.23/20.46 apply (zenon_L561_); trivial.
% 20.23/20.46 apply (zenon_L563_); trivial.
% 20.23/20.46 (* end of lemma zenon_L564_ *)
% 20.23/20.46 assert (zenon_L565_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp12)) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1e8 zenon_H121 zenon_H358 zenon_H11c zenon_H8c zenon_Hfc zenon_H338 zenon_H33e zenon_H436 zenon_H433 zenon_H435.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.46 apply (zenon_L559_); trivial.
% 20.23/20.46 apply (zenon_L564_); trivial.
% 20.23/20.46 (* end of lemma zenon_L565_ *)
% 20.23/20.46 assert (zenon_L566_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1ec zenon_H121 zenon_H358 zenon_H11c zenon_Hfc zenon_H338 zenon_H33e zenon_H436 zenon_H433 zenon_H435 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H19e zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hae zenon_Hc0 zenon_Hc5 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.46 apply (zenon_L557_); trivial.
% 20.23/20.46 apply (zenon_L565_); trivial.
% 20.23/20.46 (* end of lemma zenon_L566_ *)
% 20.23/20.46 assert (zenon_L567_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp58)) -> (ndr1_0) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H165 zenon_H263 zenon_Hc zenon_H3bb zenon_H3bc zenon_H250 zenon_H125 zenon_H126 zenon_H127 zenon_H265 zenon_H161 zenon_H163.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.46 apply (zenon_L190_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.46 apply (zenon_L424_); trivial.
% 20.23/20.46 exact (zenon_H263 zenon_H264).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.23/20.46 exact (zenon_H161 zenon_H162).
% 20.23/20.46 exact (zenon_H163 zenon_H164).
% 20.23/20.46 (* end of lemma zenon_L567_ *)
% 20.23/20.46 assert (zenon_L568_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1034))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H273 zenon_H127 zenon_H126 zenon_H24a zenon_H125 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26c zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.46 apply (zenon_L190_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.46 apply (zenon_L232_); trivial.
% 20.23/20.46 apply (zenon_L399_); trivial.
% 20.23/20.46 (* end of lemma zenon_L568_ *)
% 20.23/20.46 assert (zenon_L569_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp45)) -> (~(hskp44)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (ndr1_0) -> (~(hskp58)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp7)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H277 zenon_H163 zenon_H161 zenon_H265 zenon_H3ba zenon_H2ba zenon_H2bb zenon_H2bc zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H3bc zenon_H3bb zenon_Hc zenon_H263 zenon_H165 zenon_H275.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.23/20.46 apply (zenon_L567_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.46 apply (zenon_L568_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.46 apply (zenon_L424_); trivial.
% 20.23/20.46 exact (zenon_H263 zenon_H264).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.23/20.46 exact (zenon_H161 zenon_H162).
% 20.23/20.46 exact (zenon_H163 zenon_H164).
% 20.23/20.46 exact (zenon_H275 zenon_H276).
% 20.23/20.46 (* end of lemma zenon_L569_ *)
% 20.23/20.46 assert (zenon_L570_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H285 zenon_H165 zenon_H163 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.46 apply (zenon_L569_); trivial.
% 20.23/20.46 apply (zenon_L549_); trivial.
% 20.23/20.46 (* end of lemma zenon_L570_ *)
% 20.23/20.46 assert (zenon_L571_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H161 zenon_H165 zenon_H285.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.23/20.46 apply (zenon_L570_); trivial.
% 20.23/20.46 apply (zenon_L100_); trivial.
% 20.23/20.46 (* end of lemma zenon_L571_ *)
% 20.23/20.46 assert (zenon_L572_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.23/20.46 apply (zenon_L571_); trivial.
% 20.23/20.46 apply (zenon_L112_); trivial.
% 20.23/20.46 (* end of lemma zenon_L572_ *)
% 20.23/20.46 assert (zenon_L573_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.23/20.46 apply (zenon_L226_); trivial.
% 20.23/20.46 apply (zenon_L572_); trivial.
% 20.23/20.46 (* end of lemma zenon_L573_ *)
% 20.23/20.46 assert (zenon_L574_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> (~(hskp34)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H121 zenon_H358 zenon_H11c zenon_Hfc zenon_H338 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.46 apply (zenon_L312_); trivial.
% 20.23/20.46 apply (zenon_L564_); trivial.
% 20.23/20.46 (* end of lemma zenon_L574_ *)
% 20.23/20.46 assert (zenon_L575_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H20f zenon_Hc zenon_H1e1 zenon_H1df zenon_H1e0.
% 20.23/20.46 generalize (zenon_H20f (a1044)). zenon_intro zenon_H43c.
% 20.23/20.46 apply (zenon_imply_s _ _ zenon_H43c); [ zenon_intro zenon_Hb | zenon_intro zenon_H43d ].
% 20.23/20.46 exact (zenon_Hb zenon_Hc).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H3e7 ].
% 20.23/20.46 exact (zenon_H1e1 zenon_H1e6).
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H3e7); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e7 ].
% 20.23/20.46 exact (zenon_H1e5 zenon_H1df).
% 20.23/20.46 exact (zenon_H1e7 zenon_H1e0).
% 20.23/20.46 (* end of lemma zenon_L575_ *)
% 20.23/20.46 assert (zenon_L576_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c3_1 (a1044)) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (~(hskp4)) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H214 zenon_H215 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H212.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.23/20.46 apply (zenon_L136_); trivial.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.23/20.46 apply (zenon_L575_); trivial.
% 20.23/20.46 exact (zenon_H212 zenon_H213).
% 20.23/20.46 (* end of lemma zenon_L576_ *)
% 20.23/20.46 assert (zenon_L577_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1ec zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H33e zenon_H338 zenon_Hfc zenon_H11c zenon_H358 zenon_H121 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.46 apply (zenon_L68_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.46 apply (zenon_L310_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.46 apply (zenon_L573_); trivial.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.46 apply (zenon_L574_); trivial.
% 20.23/20.46 apply (zenon_L576_); trivial.
% 20.23/20.46 (* end of lemma zenon_L577_ *)
% 20.23/20.46 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp12)) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H22b zenon_H121 zenon_H11c zenon_H8c zenon_Hfc zenon_H436 zenon_H433 zenon_H435.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.46 apply (zenon_L559_); trivial.
% 20.23/20.46 apply (zenon_L152_); trivial.
% 20.23/20.46 (* end of lemma zenon_L578_ *)
% 20.23/20.46 assert (zenon_L579_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H37c zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.46 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.46 apply (zenon_L531_); trivial.
% 20.23/20.46 apply (zenon_L549_); trivial.
% 20.23/20.46 (* end of lemma zenon_L579_ *)
% 20.23/20.46 assert (zenon_L580_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.23/20.46 do 0 intro. intros zenon_H387 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hdd zenon_Hf1 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H166 zenon_H183 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3 zenon_H19e zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H435 zenon_H433 zenon_H436 zenon_H33e zenon_Hfc zenon_H11c zenon_H358 zenon_H121 zenon_H1ec zenon_H23c.
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.46 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.46 apply (zenon_L566_); trivial.
% 20.23/20.46 apply (zenon_L577_); trivial.
% 20.23/20.46 apply (zenon_L578_); trivial.
% 20.23/20.46 apply (zenon_L579_); trivial.
% 20.23/20.46 (* end of lemma zenon_L580_ *)
% 20.23/20.46 assert (zenon_L581_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hdd zenon_Hf1 zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_H156 zenon_H157 zenon_H158 zenon_Ha3 zenon_Hc5.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_L479_); trivial.
% 20.23/20.47 apply (zenon_L508_); trivial.
% 20.23/20.47 (* end of lemma zenon_L581_ *)
% 20.23/20.47 assert (zenon_L582_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H328 zenon_H23b zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H23c zenon_H1ec zenon_H121 zenon_H358 zenon_H11c zenon_Hfc zenon_H33e zenon_H436 zenon_H433 zenon_H435 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_Hf1 zenon_Hdd zenon_Hc8 zenon_H12f zenon_H132 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.47 apply (zenon_L3_); trivial.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.47 apply (zenon_L580_); trivial.
% 20.23/20.47 apply (zenon_L581_); trivial.
% 20.23/20.47 (* end of lemma zenon_L582_ *)
% 20.23/20.47 assert (zenon_L583_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H205 zenon_Hc zenon_H1ad zenon_H1af zenon_H1b7.
% 20.23/20.47 generalize (zenon_H205 (a1051)). zenon_intro zenon_H43e.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H43e); [ zenon_intro zenon_Hb | zenon_intro zenon_H43f ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H440 ].
% 20.23/20.47 exact (zenon_H1b3 zenon_H1ad).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bb ].
% 20.23/20.47 exact (zenon_H1af zenon_H1b4).
% 20.23/20.47 exact (zenon_H1bb zenon_H1b7).
% 20.23/20.47 (* end of lemma zenon_L583_ *)
% 20.23/20.47 assert (zenon_L584_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c3_1 (a1044)) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (~(hskp4)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1cb zenon_H215 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H212.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.23/20.47 apply (zenon_L583_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.23/20.47 apply (zenon_L575_); trivial.
% 20.23/20.47 exact (zenon_H212 zenon_H213).
% 20.23/20.47 (* end of lemma zenon_L584_ *)
% 20.23/20.47 assert (zenon_L585_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H215 zenon_H212 zenon_H285 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.23/20.47 apply (zenon_L571_); trivial.
% 20.23/20.47 apply (zenon_L584_); trivial.
% 20.23/20.47 (* end of lemma zenon_L585_ *)
% 20.23/20.47 assert (zenon_L586_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H12e zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.47 apply (zenon_L573_); trivial.
% 20.23/20.47 apply (zenon_L585_); trivial.
% 20.23/20.47 (* end of lemma zenon_L586_ *)
% 20.23/20.47 assert (zenon_L587_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_L415_); trivial.
% 20.23/20.47 apply (zenon_L586_); trivial.
% 20.23/20.47 (* end of lemma zenon_L587_ *)
% 20.23/20.47 assert (zenon_L588_ : (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H403 zenon_Hc zenon_H2ba zenon_H2bc zenon_H2bb.
% 20.23/20.47 generalize (zenon_H403 (a1078)). zenon_intro zenon_H441.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H441); [ zenon_intro zenon_Hb | zenon_intro zenon_H442 ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H442); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H443 ].
% 20.23/20.47 exact (zenon_H2c0 zenon_H2ba).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ].
% 20.23/20.47 exact (zenon_H2c1 zenon_H2bc).
% 20.23/20.47 exact (zenon_H2bb zenon_H2c2).
% 20.23/20.47 (* end of lemma zenon_L588_ *)
% 20.23/20.47 assert (zenon_L589_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> (~(hskp47)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(hskp21)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1f zenon_H40d zenon_H2bb zenon_H2bc zenon_H2ba zenon_H60 zenon_H3b zenon_H37 zenon_H39.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.23/20.47 apply (zenon_L588_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.23/20.47 exact (zenon_H60 zenon_H61).
% 20.23/20.47 apply (zenon_L515_); trivial.
% 20.23/20.47 (* end of lemma zenon_L589_ *)
% 20.23/20.47 assert (zenon_L590_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H319 zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H2bb zenon_H2bc zenon_H2ba zenon_H307 zenon_H2f9 zenon_Hae zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H47 zenon_H49 zenon_H4c zenon_H5b zenon_Hc0 zenon_H1b zenon_H1d zenon_H20 zenon_Ha3.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.47 apply (zenon_L408_); trivial.
% 20.23/20.47 apply (zenon_L589_); trivial.
% 20.23/20.47 apply (zenon_L20_); trivial.
% 20.23/20.47 apply (zenon_L33_); trivial.
% 20.23/20.47 apply (zenon_L414_); trivial.
% 20.23/20.47 apply (zenon_L305_); trivial.
% 20.23/20.47 (* end of lemma zenon_L590_ *)
% 20.23/20.47 assert (zenon_L591_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_Hc5 zenon_Ha3 zenon_H20 zenon_H1d zenon_H1b zenon_Hc0 zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_Hae zenon_H2f9 zenon_H307 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.47 apply (zenon_L590_); trivial.
% 20.23/20.47 apply (zenon_L45_); trivial.
% 20.23/20.47 (* end of lemma zenon_L591_ *)
% 20.23/20.47 assert (zenon_L592_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.47 apply (zenon_L148_); trivial.
% 20.23/20.47 apply (zenon_L400_); trivial.
% 20.23/20.47 apply (zenon_L437_); trivial.
% 20.23/20.47 (* end of lemma zenon_L592_ *)
% 20.23/20.47 assert (zenon_L593_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H22b zenon_H132 zenon_Hfc zenon_H11c zenon_H121 zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_Hc5 zenon_Ha3 zenon_H20 zenon_H1d zenon_H1b zenon_Hc0 zenon_H5b zenon_H4c zenon_H47 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H1dd zenon_Hc8 zenon_H12f.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.47 apply (zenon_L591_); trivial.
% 20.23/20.47 apply (zenon_L592_); trivial.
% 20.23/20.47 apply (zenon_L156_); trivial.
% 20.23/20.47 (* end of lemma zenon_L593_ *)
% 20.23/20.47 assert (zenon_L594_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H23c zenon_Hfc zenon_H11c zenon_H121 zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H5b zenon_H4c zenon_H47 zenon_H3b zenon_H39 zenon_H40d zenon_H32b zenon_H32a zenon_H329 zenon_H1dd zenon_Hc8 zenon_H12f zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.47 apply (zenon_L587_); trivial.
% 20.23/20.47 apply (zenon_L593_); trivial.
% 20.23/20.47 (* end of lemma zenon_L594_ *)
% 20.23/20.47 assert (zenon_L595_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5 zenon_H12f zenon_Hc8 zenon_H1dd zenon_H40d zenon_H39 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H121 zenon_H11c zenon_Hfc zenon_H23c.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.47 apply (zenon_L594_); trivial.
% 20.23/20.47 apply (zenon_L488_); trivial.
% 20.23/20.47 (* end of lemma zenon_L595_ *)
% 20.23/20.47 assert (zenon_L596_ : (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1f6 zenon_Hc zenon_H444 zenon_H445 zenon_H446.
% 20.23/20.47 generalize (zenon_H1f6 (a1102)). zenon_intro zenon_H447.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H447); [ zenon_intro zenon_Hb | zenon_intro zenon_H448 ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H448); [ zenon_intro zenon_H44a | zenon_intro zenon_H449 ].
% 20.23/20.47 exact (zenon_H444 zenon_H44a).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H449); [ zenon_intro zenon_H44c | zenon_intro zenon_H44b ].
% 20.23/20.47 exact (zenon_H445 zenon_H44c).
% 20.23/20.47 exact (zenon_H44b zenon_H446).
% 20.23/20.47 (* end of lemma zenon_L596_ *)
% 20.23/20.47 assert (zenon_L597_ : ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (ndr1_0) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H203 zenon_H1f1 zenon_H446 zenon_H445 zenon_H444 zenon_Hc zenon_H12 zenon_H10 zenon_H11.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.47 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.47 apply (zenon_L596_); trivial.
% 20.23/20.47 apply (zenon_L267_); trivial.
% 20.23/20.47 (* end of lemma zenon_L597_ *)
% 20.23/20.47 assert (zenon_L598_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H12 zenon_H10 zenon_H11 zenon_H203.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.47 apply (zenon_L597_); trivial.
% 20.23/20.47 apply (zenon_L139_); trivial.
% 20.23/20.47 (* end of lemma zenon_L598_ *)
% 20.23/20.47 assert (zenon_L599_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H47 zenon_H4c.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.47 apply (zenon_L68_); trivial.
% 20.23/20.47 apply (zenon_L598_); trivial.
% 20.23/20.47 (* end of lemma zenon_L599_ *)
% 20.23/20.47 assert (zenon_L600_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H325 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_L415_); trivial.
% 20.23/20.47 apply (zenon_L599_); trivial.
% 20.23/20.47 (* end of lemma zenon_L600_ *)
% 20.23/20.47 assert (zenon_L601_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.47 apply (zenon_L3_); trivial.
% 20.23/20.47 apply (zenon_L600_); trivial.
% 20.23/20.47 (* end of lemma zenon_L601_ *)
% 20.23/20.47 assert (zenon_L602_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19)))))) -> (ndr1_0) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_Hfe zenon_Hc zenon_H96 zenon_H94 zenon_H95.
% 20.23/20.47 generalize (zenon_Hfe (a1073)). zenon_intro zenon_H44d.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H44d); [ zenon_intro zenon_Hb | zenon_intro zenon_H44e ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_H9b | zenon_intro zenon_H44f ].
% 20.23/20.47 exact (zenon_H9b zenon_H96).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_H9a | zenon_intro zenon_H9c ].
% 20.23/20.47 exact (zenon_H9a zenon_H94).
% 20.23/20.47 exact (zenon_H9c zenon_H95).
% 20.23/20.47 (* end of lemma zenon_L602_ *)
% 20.23/20.47 assert (zenon_L603_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H8c zenon_H21c zenon_H21a zenon_H10b zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.47 apply (zenon_L35_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.47 apply (zenon_L150_); trivial.
% 20.23/20.47 apply (zenon_L36_); trivial.
% 20.23/20.47 (* end of lemma zenon_L603_ *)
% 20.23/20.47 assert (zenon_L604_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_Ha0 zenon_H11c zenon_Hfc zenon_H8c zenon_H21c zenon_H21a.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.23/20.47 exact (zenon_Hfc zenon_Hfd).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.23/20.47 apply (zenon_L602_); trivial.
% 20.23/20.47 apply (zenon_L603_); trivial.
% 20.23/20.47 (* end of lemma zenon_L604_ *)
% 20.23/20.47 assert (zenon_L605_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))) -> (ndr1_0) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_Hb0 zenon_Hc zenon_H450 zenon_H451 zenon_H452.
% 20.23/20.47 generalize (zenon_Hb0 (a1101)). zenon_intro zenon_H453.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H453); [ zenon_intro zenon_Hb | zenon_intro zenon_H454 ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H454); [ zenon_intro zenon_H456 | zenon_intro zenon_H455 ].
% 20.23/20.47 exact (zenon_H456 zenon_H450).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H455); [ zenon_intro zenon_H458 | zenon_intro zenon_H457 ].
% 20.23/20.47 exact (zenon_H451 zenon_H458).
% 20.23/20.47 exact (zenon_H457 zenon_H452).
% 20.23/20.47 (* end of lemma zenon_L605_ *)
% 20.23/20.47 assert (zenon_L606_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Hae zenon_H450 zenon_H451 zenon_H452.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ].
% 20.23/20.47 apply (zenon_L40_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 20.23/20.47 exact (zenon_Hae zenon_Haf).
% 20.23/20.47 apply (zenon_L605_); trivial.
% 20.23/20.47 (* end of lemma zenon_L606_ *)
% 20.23/20.47 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> (~(hskp33)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H22b zenon_H132 zenon_H12f zenon_Hc8 zenon_H121 zenon_H1dd zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H319 zenon_H398 zenon_H392 zenon_H1c5 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hfc zenon_H11c zenon_Ha3 zenon_H450 zenon_H451 zenon_H452 zenon_Hc0 zenon_Hc5.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.47 apply (zenon_L409_); trivial.
% 20.23/20.47 apply (zenon_L604_); trivial.
% 20.23/20.47 apply (zenon_L367_); trivial.
% 20.23/20.47 apply (zenon_L606_); trivial.
% 20.23/20.47 apply (zenon_L156_); trivial.
% 20.23/20.47 (* end of lemma zenon_L607_ *)
% 20.23/20.47 assert (zenon_L608_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a1101))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H24a zenon_Hc zenon_H459 zenon_H450 zenon_H452.
% 20.23/20.47 generalize (zenon_H24a (a1101)). zenon_intro zenon_H45a.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H45a); [ zenon_intro zenon_Hb | zenon_intro zenon_H45b ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H45b); [ zenon_intro zenon_H45d | zenon_intro zenon_H45c ].
% 20.23/20.47 exact (zenon_H459 zenon_H45d).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H45c); [ zenon_intro zenon_H456 | zenon_intro zenon_H457 ].
% 20.23/20.47 exact (zenon_H456 zenon_H450).
% 20.23/20.47 exact (zenon_H457 zenon_H452).
% 20.23/20.47 (* end of lemma zenon_L608_ *)
% 20.23/20.47 assert (zenon_L609_ : ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(hskp36)) -> (ndr1_0) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_Hc0 zenon_H24a zenon_Hae zenon_Hc zenon_H450 zenon_H451 zenon_H452.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ].
% 20.23/20.47 generalize (zenon_Ha4 (a1101)). zenon_intro zenon_H45e.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H45e); [ zenon_intro zenon_Hb | zenon_intro zenon_H45f ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_H456 | zenon_intro zenon_H460 ].
% 20.23/20.47 exact (zenon_H456 zenon_H450).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H459 | zenon_intro zenon_H457 ].
% 20.23/20.47 apply (zenon_L608_); trivial.
% 20.23/20.47 exact (zenon_H457 zenon_H452).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 20.23/20.47 exact (zenon_Hae zenon_Haf).
% 20.23/20.47 apply (zenon_L605_); trivial.
% 20.23/20.47 (* end of lemma zenon_L609_ *)
% 20.23/20.47 assert (zenon_L610_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H265 zenon_H452 zenon_H451 zenon_H450 zenon_Hae zenon_Hc0 zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H263.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.47 apply (zenon_L609_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.47 apply (zenon_L458_); trivial.
% 20.23/20.47 exact (zenon_H263 zenon_H264).
% 20.23/20.47 (* end of lemma zenon_L610_ *)
% 20.23/20.47 assert (zenon_L611_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H37c zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.47 apply (zenon_L610_); trivial.
% 20.23/20.47 apply (zenon_L427_); trivial.
% 20.23/20.47 apply (zenon_L471_); trivial.
% 20.23/20.47 (* end of lemma zenon_L611_ *)
% 20.23/20.47 assert (zenon_L612_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H237 zenon_H387 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_Hc5 zenon_Ha3 zenon_H158 zenon_H157 zenon_H156 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H33e zenon_H358 zenon_H12f zenon_H132.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.47 apply (zenon_L487_); trivial.
% 20.23/20.47 apply (zenon_L611_); trivial.
% 20.23/20.47 (* end of lemma zenon_L612_ *)
% 20.23/20.47 assert (zenon_L613_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H450 zenon_H452 zenon_H451 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5 zenon_H12f zenon_Hc8 zenon_H1dd zenon_H40d zenon_H39 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H121 zenon_H11c zenon_Hfc zenon_H23c.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.47 apply (zenon_L594_); trivial.
% 20.23/20.47 apply (zenon_L612_); trivial.
% 20.23/20.47 (* end of lemma zenon_L613_ *)
% 20.23/20.47 assert (zenon_L614_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp38)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1ec zenon_H358 zenon_H156 zenon_H158 zenon_H157 zenon_H2f zenon_H1dd zenon_H338 zenon_H10c zenon_H124 zenon_H10e zenon_H33e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.47 apply (zenon_L573_); trivial.
% 20.23/20.47 apply (zenon_L436_); trivial.
% 20.23/20.47 (* end of lemma zenon_L614_ *)
% 20.23/20.47 assert (zenon_L615_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H32b zenon_H32a zenon_H329 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H33e zenon_H338 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H358 zenon_H1ec zenon_H47 zenon_H4c.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.47 apply (zenon_L68_); trivial.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.23/20.47 apply (zenon_L614_); trivial.
% 20.23/20.47 apply (zenon_L437_); trivial.
% 20.23/20.47 (* end of lemma zenon_L615_ *)
% 20.23/20.47 assert (zenon_L616_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H23c zenon_H1ec zenon_H121 zenon_H358 zenon_H11c zenon_Hfc zenon_H338 zenon_H33e zenon_H436 zenon_H433 zenon_H435 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H19e zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H4c zenon_H47 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H329 zenon_H32a zenon_H32b zenon_Hc8 zenon_H12f zenon_H132.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.47 apply (zenon_L566_); trivial.
% 20.23/20.47 apply (zenon_L615_); trivial.
% 20.23/20.47 apply (zenon_L578_); trivial.
% 20.23/20.47 (* end of lemma zenon_L616_ *)
% 20.23/20.47 assert (zenon_L617_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H263.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.23/20.47 apply (zenon_L540_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.23/20.47 apply (zenon_L458_); trivial.
% 20.23/20.47 exact (zenon_H263 zenon_H264).
% 20.23/20.47 (* end of lemma zenon_L617_ *)
% 20.23/20.47 assert (zenon_L618_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H37c zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.23/20.47 apply (zenon_L617_); trivial.
% 20.23/20.47 apply (zenon_L427_); trivial.
% 20.23/20.47 (* end of lemma zenon_L618_ *)
% 20.23/20.47 assert (zenon_L619_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H8c zenon_H22e zenon_H250 zenon_H230 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.47 apply (zenon_L61_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.47 apply (zenon_L495_); trivial.
% 20.23/20.47 apply (zenon_L64_); trivial.
% 20.23/20.47 (* end of lemma zenon_L619_ *)
% 20.23/20.47 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H11b zenon_H273 zenon_H230 zenon_H22e zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.47 apply (zenon_L619_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.47 apply (zenon_L275_); trivial.
% 20.23/20.47 apply (zenon_L399_); trivial.
% 20.23/20.47 (* end of lemma zenon_L620_ *)
% 20.23/20.47 assert (zenon_L621_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H237 zenon_H121 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H436 zenon_H433 zenon_H435.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.23/20.47 apply (zenon_L559_); trivial.
% 20.23/20.47 apply (zenon_L620_); trivial.
% 20.23/20.47 (* end of lemma zenon_L621_ *)
% 20.23/20.47 assert (zenon_L622_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H332 zenon_H23b zenon_H23c zenon_H1ec zenon_H121 zenon_H358 zenon_H11c zenon_Hfc zenon_H33e zenon_H436 zenon_H433 zenon_H435 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H4c zenon_H47 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_Hc8 zenon_H12f zenon_H132 zenon_H39a zenon_H3a6 zenon_H39b zenon_H387.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.47 apply (zenon_L616_); trivial.
% 20.23/20.47 apply (zenon_L618_); trivial.
% 20.23/20.47 apply (zenon_L621_); trivial.
% 20.23/20.47 (* end of lemma zenon_L622_ *)
% 20.23/20.47 assert (zenon_L623_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))) -> (ndr1_0) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1ff zenon_Hc zenon_H3a6 zenon_H39a zenon_H39b.
% 20.23/20.47 generalize (zenon_H1ff (a1088)). zenon_intro zenon_H461.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H461); [ zenon_intro zenon_Hb | zenon_intro zenon_H462 ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H3aa | zenon_intro zenon_H3a4 ].
% 20.23/20.47 exact (zenon_H3aa zenon_H3a6).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H3a4); [ zenon_intro zenon_H39f | zenon_intro zenon_H3a0 ].
% 20.23/20.47 exact (zenon_H39f zenon_H39a).
% 20.23/20.47 exact (zenon_H39b zenon_H3a0).
% 20.23/20.47 (* end of lemma zenon_L623_ *)
% 20.23/20.47 assert (zenon_L624_ : ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (ndr1_0) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H203 zenon_H1f1 zenon_H446 zenon_H445 zenon_H444 zenon_Hc zenon_H3a6 zenon_H39a zenon_H39b.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.23/20.47 exact (zenon_H1f1 zenon_H1f2).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.23/20.47 apply (zenon_L596_); trivial.
% 20.23/20.47 apply (zenon_L623_); trivial.
% 20.23/20.47 (* end of lemma zenon_L624_ *)
% 20.23/20.47 assert (zenon_L625_ : (~(hskp31)) -> (hskp31) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H463 zenon_H464.
% 20.23/20.47 exact (zenon_H463 zenon_H464).
% 20.23/20.47 (* end of lemma zenon_L625_ *)
% 20.23/20.47 assert (zenon_L626_ : (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2))))) -> (ndr1_0) -> (c0_1 (a1046)) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H465 zenon_Hc zenon_H206 zenon_H208 zenon_H207.
% 20.23/20.47 generalize (zenon_H465 (a1046)). zenon_intro zenon_H466.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H466); [ zenon_intro zenon_Hb | zenon_intro zenon_H467 ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H20c | zenon_intro zenon_H468 ].
% 20.23/20.47 exact (zenon_H20c zenon_H206).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H20d | zenon_intro zenon_H20e ].
% 20.23/20.47 exact (zenon_H20d zenon_H208).
% 20.23/20.47 exact (zenon_H207 zenon_H20e).
% 20.23/20.47 (* end of lemma zenon_L626_ *)
% 20.23/20.47 assert (zenon_L627_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H469 zenon_Hc zenon_H32b zenon_H32a zenon_H329.
% 20.23/20.47 generalize (zenon_H469 (a1021)). zenon_intro zenon_H46a.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H46a); [ zenon_intro zenon_Hb | zenon_intro zenon_H46b ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H46b); [ zenon_intro zenon_H330 | zenon_intro zenon_H46c ].
% 20.23/20.47 exact (zenon_H330 zenon_H32b).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H46c); [ zenon_intro zenon_H331 | zenon_intro zenon_H32f ].
% 20.23/20.47 exact (zenon_H32a zenon_H331).
% 20.23/20.47 exact (zenon_H329 zenon_H32f).
% 20.23/20.47 (* end of lemma zenon_L627_ *)
% 20.23/20.47 assert (zenon_L628_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H214 zenon_H46d zenon_H463 zenon_H32b zenon_H32a zenon_H329.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.23/20.47 exact (zenon_H463 zenon_H464).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.23/20.47 apply (zenon_L626_); trivial.
% 20.23/20.47 apply (zenon_L627_); trivial.
% 20.23/20.47 (* end of lemma zenon_L628_ *)
% 20.23/20.47 assert (zenon_L629_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> (ndr1_0) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_Hc zenon_H444 zenon_H445 zenon_H446 zenon_H3a6 zenon_H39a zenon_H39b zenon_H203.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.47 apply (zenon_L624_); trivial.
% 20.23/20.47 apply (zenon_L628_); trivial.
% 20.23/20.47 (* end of lemma zenon_L629_ *)
% 20.23/20.47 assert (zenon_L630_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H20f zenon_Hc zenon_H46f zenon_H470 zenon_H471.
% 20.23/20.47 generalize (zenon_H20f (a1028)). zenon_intro zenon_H472.
% 20.23/20.47 apply (zenon_imply_s _ _ zenon_H472); [ zenon_intro zenon_Hb | zenon_intro zenon_H473 ].
% 20.23/20.47 exact (zenon_Hb zenon_Hc).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H473); [ zenon_intro zenon_H475 | zenon_intro zenon_H474 ].
% 20.23/20.47 exact (zenon_H46f zenon_H475).
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H477 | zenon_intro zenon_H476 ].
% 20.23/20.47 exact (zenon_H477 zenon_H470).
% 20.23/20.47 exact (zenon_H476 zenon_H471).
% 20.23/20.47 (* end of lemma zenon_L630_ *)
% 20.23/20.47 assert (zenon_L631_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (~(hskp4)) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H214 zenon_H215 zenon_H471 zenon_H470 zenon_H46f zenon_H212.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.23/20.47 apply (zenon_L136_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.23/20.47 apply (zenon_L630_); trivial.
% 20.23/20.47 exact (zenon_H212 zenon_H213).
% 20.23/20.47 (* end of lemma zenon_L631_ *)
% 20.23/20.47 assert (zenon_L632_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H478 zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H3a6 zenon_H39a zenon_H39b zenon_H203.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.47 apply (zenon_L624_); trivial.
% 20.23/20.47 apply (zenon_L631_); trivial.
% 20.23/20.47 (* end of lemma zenon_L632_ *)
% 20.23/20.47 assert (zenon_L633_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H332 zenon_H47b zenon_H215 zenon_H212 zenon_H203 zenon_H39b zenon_H39a zenon_H3a6 zenon_H446 zenon_H445 zenon_H444 zenon_H46d zenon_H219.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.23/20.47 apply (zenon_L629_); trivial.
% 20.23/20.47 apply (zenon_L632_); trivial.
% 20.23/20.47 (* end of lemma zenon_L633_ *)
% 20.23/20.47 assert (zenon_L634_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H47c zenon_H335 zenon_H47b zenon_H39b zenon_H39a zenon_H3a6 zenon_H46d zenon_H5 zenon_H6 zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H328.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.47 apply (zenon_L601_); trivial.
% 20.23/20.47 apply (zenon_L633_); trivial.
% 20.23/20.47 (* end of lemma zenon_L634_ *)
% 20.23/20.47 assert (zenon_L635_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(hskp57)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_H156 zenon_H157 zenon_H158 zenon_H15f zenon_H166.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.23/20.47 apply (zenon_L379_); trivial.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.23/20.47 apply (zenon_L79_); trivial.
% 20.23/20.47 exact (zenon_H15f zenon_H160).
% 20.23/20.47 apply (zenon_L257_); trivial.
% 20.23/20.47 (* end of lemma zenon_L635_ *)
% 20.23/20.47 assert (zenon_L636_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.23/20.47 apply (zenon_L635_); trivial.
% 20.23/20.47 apply (zenon_L89_); trivial.
% 20.23/20.47 (* end of lemma zenon_L636_ *)
% 20.23/20.47 assert (zenon_L637_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp42)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f9 zenon_H307 zenon_H1f1 zenon_H203 zenon_Ha3.
% 20.23/20.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.47 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.23/20.47 apply (zenon_L636_); trivial.
% 20.23/20.47 apply (zenon_L308_); trivial.
% 20.23/20.47 apply (zenon_L305_); trivial.
% 20.23/20.47 (* end of lemma zenon_L637_ *)
% 20.23/20.47 assert (zenon_L638_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.47 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_Ha3 zenon_H203 zenon_H307 zenon_H2f9 zenon_Hae zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.23/20.47 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.23/20.48 apply (zenon_L637_); trivial.
% 20.23/20.48 apply (zenon_L576_); trivial.
% 20.23/20.48 (* end of lemma zenon_L638_ *)
% 20.23/20.48 assert (zenon_L639_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hdd zenon_Hf1 zenon_H33e zenon_H338 zenon_Hfc zenon_H11c zenon_H358 zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_H166 zenon_H183 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3 zenon_H19e zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H319 zenon_H158 zenon_H157 zenon_H156 zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H1ec.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.23/20.48 apply (zenon_L557_); trivial.
% 20.23/20.48 apply (zenon_L638_); trivial.
% 20.23/20.48 apply (zenon_L577_); trivial.
% 20.23/20.48 (* end of lemma zenon_L639_ *)
% 20.23/20.48 assert (zenon_L640_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hdd zenon_Hf1 zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_H156 zenon_H157 zenon_H158 zenon_Ha3 zenon_H450 zenon_H451 zenon_H452 zenon_Hc5.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.23/20.48 apply (zenon_L478_); trivial.
% 20.23/20.48 apply (zenon_L606_); trivial.
% 20.23/20.48 apply (zenon_L508_); trivial.
% 20.23/20.48 (* end of lemma zenon_L640_ *)
% 20.23/20.48 assert (zenon_L641_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_Hc5 zenon_Ha3 zenon_H158 zenon_H157 zenon_H156 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H33e zenon_H358 zenon_H12f zenon_H132.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.48 apply (zenon_L487_); trivial.
% 20.23/20.48 apply (zenon_L618_); trivial.
% 20.23/20.48 (* end of lemma zenon_L641_ *)
% 20.23/20.48 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H335.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.48 apply (zenon_L3_); trivial.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.23/20.48 apply (zenon_L340_); trivial.
% 20.23/20.48 apply (zenon_L579_); trivial.
% 20.23/20.48 apply (zenon_L539_); trivial.
% 20.23/20.48 apply (zenon_L223_); trivial.
% 20.23/20.48 (* end of lemma zenon_L642_ *)
% 20.23/20.48 assert (zenon_L643_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hae zenon_H2f9 zenon_H307.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.48 apply (zenon_L353_); trivial.
% 20.23/20.48 apply (zenon_L263_); trivial.
% 20.23/20.48 (* end of lemma zenon_L643_ *)
% 20.23/20.48 assert (zenon_L644_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.48 apply (zenon_L251_); trivial.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.48 apply (zenon_L643_); trivial.
% 20.23/20.48 apply (zenon_L508_); trivial.
% 20.23/20.48 (* end of lemma zenon_L644_ *)
% 20.23/20.48 assert (zenon_L645_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H1 zenon_H5.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.23/20.48 apply (zenon_L3_); trivial.
% 20.23/20.48 apply (zenon_L644_); trivial.
% 20.23/20.48 (* end of lemma zenon_L645_ *)
% 20.23/20.48 assert (zenon_L646_ : ((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp59)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_Hd0 zenon_H308 zenon_H2f0 zenon_H2e3 zenon_H2e1 zenon_H2e2.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc. zenon_intro zenon_Hd1.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.23/20.48 apply (zenon_L403_); trivial.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.23/20.48 exact (zenon_H2f0 zenon_H2f1).
% 20.23/20.48 apply (zenon_L352_); trivial.
% 20.23/20.48 (* end of lemma zenon_L646_ *)
% 20.23/20.48 assert (zenon_L647_ : ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (~(hskp59)) -> (~(hskp62)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_Hdc zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f0 zenon_Hcd zenon_Hd zenon_Hcc.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd0 ].
% 20.23/20.48 apply (zenon_L49_); trivial.
% 20.23/20.48 apply (zenon_L646_); trivial.
% 20.23/20.48 (* end of lemma zenon_L647_ *)
% 20.23/20.48 assert (zenon_L648_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1103))) -> (c2_1 (a1103)) -> (c3_1 (a1103)) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H250 zenon_Hc zenon_He1 zenon_He2 zenon_He9.
% 20.23/20.48 generalize (zenon_H250 (a1103)). zenon_intro zenon_H47f.
% 20.23/20.48 apply (zenon_imply_s _ _ zenon_H47f); [ zenon_intro zenon_Hb | zenon_intro zenon_H480 ].
% 20.23/20.48 exact (zenon_Hb zenon_Hc).
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H480); [ zenon_intro zenon_He8 | zenon_intro zenon_H3cf ].
% 20.23/20.48 exact (zenon_He1 zenon_He8).
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_He7 | zenon_intro zenon_Hed ].
% 20.23/20.48 exact (zenon_He7 zenon_He2).
% 20.23/20.48 exact (zenon_Hed zenon_He9).
% 20.23/20.48 (* end of lemma zenon_L648_ *)
% 20.23/20.48 assert (zenon_L649_ : (forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78)))))) -> (ndr1_0) -> (c1_1 (a1103)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1103)) -> (c3_1 (a1103)) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H80 zenon_Hc zenon_He0 zenon_H250 zenon_He2 zenon_He9.
% 20.23/20.48 generalize (zenon_H80 (a1103)). zenon_intro zenon_Hf5.
% 20.23/20.48 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf6 ].
% 20.23/20.48 exact (zenon_Hb zenon_Hc).
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ].
% 20.23/20.48 exact (zenon_He6 zenon_He0).
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ].
% 20.23/20.48 apply (zenon_L648_); trivial.
% 20.23/20.48 exact (zenon_He7 zenon_He2).
% 20.23/20.48 (* end of lemma zenon_L649_ *)
% 20.23/20.48 assert (zenon_L650_ : (forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1103)) -> (c3_1 (a1103)) -> (c1_1 (a1103)) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H88 zenon_Hc zenon_H250 zenon_He2 zenon_He9 zenon_He0.
% 20.23/20.48 generalize (zenon_H88 (a1103)). zenon_intro zenon_Hf8.
% 20.23/20.48 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf9 ].
% 20.23/20.48 exact (zenon_Hb zenon_Hc).
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfa ].
% 20.23/20.48 apply (zenon_L648_); trivial.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_He6 | zenon_intro zenon_He7 ].
% 20.23/20.48 exact (zenon_He6 zenon_He0).
% 20.23/20.48 exact (zenon_He7 zenon_He2).
% 20.23/20.48 (* end of lemma zenon_L650_ *)
% 20.23/20.48 assert (zenon_L651_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1103)) -> (c3_1 (a1103)) -> (c1_1 (a1103)) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H8c zenon_H22e zenon_H230 zenon_Hc zenon_H250 zenon_He2 zenon_He9 zenon_He0.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.23/20.48 apply (zenon_L649_); trivial.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.23/20.48 apply (zenon_L495_); trivial.
% 20.23/20.48 apply (zenon_L650_); trivial.
% 20.23/20.48 (* end of lemma zenon_L651_ *)
% 20.23/20.48 assert (zenon_L652_ : ((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_Hf0 zenon_H273 zenon_H230 zenon_H22e zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hc. zenon_intro zenon_Hf2.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_He2. zenon_intro zenon_Hf3.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_He9. zenon_intro zenon_He0.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.23/20.48 apply (zenon_L651_); trivial.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.23/20.48 apply (zenon_L275_); trivial.
% 20.23/20.48 apply (zenon_L399_); trivial.
% 20.23/20.48 (* end of lemma zenon_L652_ *)
% 20.23/20.48 assert (zenon_L653_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hdc zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_Hd zenon_Hcc zenon_H8c zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hfb.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.23/20.48 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.23/20.48 apply (zenon_L647_); trivial.
% 20.23/20.48 apply (zenon_L652_); trivial.
% 20.23/20.48 apply (zenon_L257_); trivial.
% 20.23/20.48 (* end of lemma zenon_L653_ *)
% 20.23/20.48 assert (zenon_L654_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c1_1 (a1031))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H22f zenon_H8f zenon_H307 zenon_H2f9 zenon_Hae zenon_Hdc zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_Hcc zenon_H8c zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hfb zenon_H1b zenon_H1d zenon_H20 zenon_H2e.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.23/20.48 apply (zenon_L653_); trivial.
% 20.23/20.48 apply (zenon_L10_); trivial.
% 20.23/20.48 apply (zenon_L263_); trivial.
% 20.23/20.48 (* end of lemma zenon_L654_ *)
% 20.23/20.48 assert (zenon_L655_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H47 zenon_H4c.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.23/20.48 apply (zenon_L68_); trivial.
% 20.23/20.48 apply (zenon_L500_); trivial.
% 20.23/20.48 (* end of lemma zenon_L655_ *)
% 20.23/20.48 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_H1dd zenon_H47 zenon_H4c zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_Hcc zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H8f zenon_Ha3 zenon_H319.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.23/20.48 apply (zenon_L654_); trivial.
% 20.23/20.48 apply (zenon_L655_); trivial.
% 20.23/20.48 (* end of lemma zenon_L656_ *)
% 20.23/20.48 assert (zenon_L657_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H1dd zenon_H47 zenon_H4c zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hfb zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H8f zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.48 apply (zenon_L251_); trivial.
% 20.23/20.48 apply (zenon_L656_); trivial.
% 20.23/20.48 (* end of lemma zenon_L657_ *)
% 20.23/20.48 assert (zenon_L658_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H2df zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H121 zenon_Hf1 zenon_Hdd zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.23/20.48 apply (zenon_L402_); trivial.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.48 apply (zenon_L645_); trivial.
% 20.23/20.48 apply (zenon_L657_); trivial.
% 20.23/20.48 (* end of lemma zenon_L658_ *)
% 20.23/20.48 assert (zenon_L659_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.23/20.48 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.23/20.48 apply (zenon_L251_); trivial.
% 20.23/20.48 apply (zenon_L621_); trivial.
% 20.23/20.48 (* end of lemma zenon_L659_ *)
% 20.23/20.48 assert (zenon_L660_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.23/20.48 do 0 intro. intros zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H436 zenon_H433 zenon_H435 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.23/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.23/20.48 apply (zenon_L274_); trivial.
% 20.23/20.48 apply (zenon_L659_); trivial.
% 20.23/20.48 (* end of lemma zenon_L660_ *)
% 20.23/20.48 assert (zenon_L661_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp33)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hdd zenon_H249 zenon_H1c5 zenon_H392 zenon_H398 zenon_H319.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.48 apply (zenon_L368_); trivial.
% 20.34/20.48 apply (zenon_L599_); trivial.
% 20.34/20.48 (* end of lemma zenon_L661_ *)
% 20.34/20.48 assert (zenon_L662_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.48 apply (zenon_L643_); trivial.
% 20.34/20.48 apply (zenon_L599_); trivial.
% 20.34/20.48 (* end of lemma zenon_L662_ *)
% 20.34/20.48 assert (zenon_L663_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H325 zenon_H23b zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H203 zenon_H446 zenon_H445 zenon_H444 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.48 apply (zenon_L661_); trivial.
% 20.34/20.48 apply (zenon_L662_); trivial.
% 20.34/20.48 (* end of lemma zenon_L663_ *)
% 20.34/20.48 assert (zenon_L664_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H328 zenon_H23b zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H203 zenon_H446 zenon_H445 zenon_H444 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.48 apply (zenon_L3_); trivial.
% 20.34/20.48 apply (zenon_L663_); trivial.
% 20.34/20.48 (* end of lemma zenon_L664_ *)
% 20.34/20.48 assert (zenon_L665_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H265 zenon_H452 zenon_H451 zenon_H450 zenon_Hae zenon_Hc0 zenon_H25e zenon_H256 zenon_H255 zenon_H23f zenon_Hc zenon_H263.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.34/20.48 apply (zenon_L609_); trivial.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.34/20.48 apply (zenon_L172_); trivial.
% 20.34/20.48 exact (zenon_H263 zenon_H264).
% 20.34/20.48 (* end of lemma zenon_L665_ *)
% 20.34/20.48 assert (zenon_L666_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (ndr1_0) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(hskp36)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_Hc zenon_H450 zenon_H452 zenon_Hae zenon_H451 zenon_Hc0 zenon_Hdd zenon_H249.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.34/20.48 apply (zenon_L665_); trivial.
% 20.34/20.48 exact (zenon_Hdd zenon_Hde).
% 20.34/20.48 apply (zenon_L427_); trivial.
% 20.34/20.48 (* end of lemma zenon_L666_ *)
% 20.34/20.48 assert (zenon_L667_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H25e zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.48 apply (zenon_L252_); trivial.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.48 apply (zenon_L666_); trivial.
% 20.34/20.48 apply (zenon_L655_); trivial.
% 20.34/20.48 (* end of lemma zenon_L667_ *)
% 20.34/20.48 assert (zenon_L668_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H25e zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.48 apply (zenon_L274_); trivial.
% 20.34/20.48 apply (zenon_L667_); trivial.
% 20.34/20.48 (* end of lemma zenon_L668_ *)
% 20.34/20.48 assert (zenon_L669_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hdd zenon_H249 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.48 apply (zenon_L264_); trivial.
% 20.34/20.48 apply (zenon_L599_); trivial.
% 20.34/20.48 (* end of lemma zenon_L669_ *)
% 20.34/20.48 assert (zenon_L670_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.48 apply (zenon_L252_); trivial.
% 20.34/20.48 apply (zenon_L669_); trivial.
% 20.34/20.48 (* end of lemma zenon_L670_ *)
% 20.34/20.48 assert (zenon_L671_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H6 zenon_H1 zenon_H5.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.48 apply (zenon_L3_); trivial.
% 20.34/20.48 apply (zenon_L670_); trivial.
% 20.34/20.48 (* end of lemma zenon_L671_ *)
% 20.34/20.48 assert (zenon_L672_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H25e zenon_H256 zenon_H255 zenon_H23f zenon_Hc zenon_H263.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.34/20.48 apply (zenon_L540_); trivial.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.34/20.48 apply (zenon_L172_); trivial.
% 20.34/20.48 exact (zenon_H263 zenon_H264).
% 20.34/20.48 (* end of lemma zenon_L672_ *)
% 20.34/20.48 assert (zenon_L673_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(hskp58)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H249 zenon_Hdd zenon_Hc zenon_H39b zenon_H3a6 zenon_H39a zenon_H255 zenon_H256 zenon_H25e zenon_H263 zenon_H265.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.34/20.48 apply (zenon_L672_); trivial.
% 20.34/20.48 exact (zenon_Hdd zenon_Hde).
% 20.34/20.48 (* end of lemma zenon_L673_ *)
% 20.34/20.48 assert (zenon_L674_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H332 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H39a zenon_H3a6 zenon_H39b zenon_Hdd zenon_H249.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.34/20.48 apply (zenon_L673_); trivial.
% 20.34/20.48 apply (zenon_L427_); trivial.
% 20.34/20.48 (* end of lemma zenon_L674_ *)
% 20.34/20.48 assert (zenon_L675_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H47c zenon_H335 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H39a zenon_H3a6 zenon_H39b zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.48 apply (zenon_L671_); trivial.
% 20.34/20.48 apply (zenon_L674_); trivial.
% 20.34/20.48 (* end of lemma zenon_L675_ *)
% 20.34/20.48 assert (zenon_L676_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H3ab zenon_H484 zenon_Hc0 zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H435 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H25e zenon_H265 zenon_H285 zenon_H485.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.48 apply (zenon_L660_); trivial.
% 20.34/20.48 apply (zenon_L675_); trivial.
% 20.34/20.48 apply (zenon_L668_); trivial.
% 20.34/20.48 (* end of lemma zenon_L676_ *)
% 20.34/20.48 assert (zenon_L677_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H325 zenon_H23b zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H203 zenon_H446 zenon_H445 zenon_H444 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.48 apply (zenon_L661_); trivial.
% 20.34/20.48 apply (zenon_L669_); trivial.
% 20.34/20.48 (* end of lemma zenon_L677_ *)
% 20.34/20.48 assert (zenon_L678_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H328 zenon_H23b zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H203 zenon_H446 zenon_H445 zenon_H444 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.48 apply (zenon_L3_); trivial.
% 20.34/20.48 apply (zenon_L677_); trivial.
% 20.34/20.48 (* end of lemma zenon_L678_ *)
% 20.34/20.48 assert (zenon_L679_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H25e zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.48 apply (zenon_L511_); trivial.
% 20.34/20.48 apply (zenon_L667_); trivial.
% 20.34/20.48 (* end of lemma zenon_L679_ *)
% 20.34/20.48 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.48 apply (zenon_L511_); trivial.
% 20.34/20.48 apply (zenon_L674_); trivial.
% 20.34/20.48 (* end of lemma zenon_L680_ *)
% 20.34/20.48 assert (zenon_L681_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp19)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.34/20.48 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H3ae zenon_H485 zenon_Hc0 zenon_H3f5 zenon_H3b zenon_H3f3 zenon_H5b zenon_H398 zenon_H249 zenon_H435 zenon_H285 zenon_H265 zenon_H484 zenon_H40d zenon_H166 zenon_H183 zenon_H335 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_Ha3 zenon_H5 zenon_H6 zenon_Hf zenon_H1b zenon_H20 zenon_H2e zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hdd zenon_Hf1 zenon_H121 zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H2df.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.48 apply (zenon_L658_); trivial.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.48 apply (zenon_L660_); trivial.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.48 apply (zenon_L664_); trivial.
% 20.34/20.48 apply (zenon_L502_); trivial.
% 20.34/20.48 apply (zenon_L668_); trivial.
% 20.34/20.48 apply (zenon_L676_); trivial.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.48 apply (zenon_L660_); trivial.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.48 apply (zenon_L678_); trivial.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.48 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.48 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.48 apply (zenon_L251_); trivial.
% 20.34/20.48 apply (zenon_L520_); trivial.
% 20.34/20.48 apply (zenon_L679_); trivial.
% 20.34/20.49 apply (zenon_L680_); trivial.
% 20.34/20.49 apply (zenon_L206_); trivial.
% 20.34/20.49 (* end of lemma zenon_L681_ *)
% 20.34/20.49 assert (zenon_L682_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.49 apply (zenon_L643_); trivial.
% 20.34/20.49 apply (zenon_L219_); trivial.
% 20.34/20.49 (* end of lemma zenon_L682_ *)
% 20.34/20.49 assert (zenon_L683_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.49 apply (zenon_L251_); trivial.
% 20.34/20.49 apply (zenon_L682_); trivial.
% 20.34/20.49 (* end of lemma zenon_L683_ *)
% 20.34/20.49 assert (zenon_L684_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H1 zenon_H5.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.49 apply (zenon_L3_); trivial.
% 20.34/20.49 apply (zenon_L683_); trivial.
% 20.34/20.49 (* end of lemma zenon_L684_ *)
% 20.34/20.49 assert (zenon_L685_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H5 zenon_H33e zenon_H358 zenon_H275 zenon_H2ab zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H387 zenon_H335.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.49 apply (zenon_L684_); trivial.
% 20.34/20.49 apply (zenon_L539_); trivial.
% 20.34/20.49 apply (zenon_L223_); trivial.
% 20.34/20.49 (* end of lemma zenon_L685_ *)
% 20.34/20.49 assert (zenon_L686_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H3b1 zenon_H2de zenon_H2b9 zenon_H2a6 zenon_H33e zenon_H358 zenon_H275 zenon_H2ab zenon_H387 zenon_H2df zenon_H1c7 zenon_H1c3 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H121 zenon_Hf1 zenon_Hdd zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H2e zenon_H20 zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335 zenon_H183 zenon_H166 zenon_H40d zenon_H484 zenon_H265 zenon_H285 zenon_H435 zenon_H249 zenon_H398 zenon_H5b zenon_H3f3 zenon_H3b zenon_H3f5 zenon_Hc0 zenon_H485 zenon_H3ae zenon_H293 zenon_H2e0.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.49 apply (zenon_L681_); trivial.
% 20.34/20.49 apply (zenon_L685_); trivial.
% 20.34/20.49 (* end of lemma zenon_L686_ *)
% 20.34/20.49 assert (zenon_L687_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_Hdd zenon_Hf1 zenon_Hfc zenon_H11c zenon_H121 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H358 zenon_H47 zenon_H4c zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Hc0 zenon_Ha3 zenon_Hc5.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.49 apply (zenon_L415_); trivial.
% 20.34/20.49 apply (zenon_L296_); trivial.
% 20.34/20.49 (* end of lemma zenon_L687_ *)
% 20.34/20.49 assert (zenon_L688_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H328 zenon_H387 zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H358 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H33e zenon_H121 zenon_H11c zenon_Hfc zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.49 apply (zenon_L3_); trivial.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.49 apply (zenon_L687_); trivial.
% 20.34/20.49 apply (zenon_L319_); trivial.
% 20.34/20.49 (* end of lemma zenon_L688_ *)
% 20.34/20.49 assert (zenon_L689_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H47 zenon_H49 zenon_H4c zenon_H5b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.34/20.49 apply (zenon_L462_); trivial.
% 20.34/20.49 apply (zenon_L516_); trivial.
% 20.34/20.49 apply (zenon_L20_); trivial.
% 20.34/20.49 apply (zenon_L33_); trivial.
% 20.34/20.49 (* end of lemma zenon_L689_ *)
% 20.34/20.49 assert (zenon_L690_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_Ha0 zenon_H273 zenon_H342 zenon_H340 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.34/20.49 apply (zenon_L321_); trivial.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.34/20.49 apply (zenon_L275_); trivial.
% 20.34/20.49 apply (zenon_L399_); trivial.
% 20.34/20.49 (* end of lemma zenon_L690_ *)
% 20.34/20.49 assert (zenon_L691_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.34/20.49 apply (zenon_L325_); trivial.
% 20.34/20.49 apply (zenon_L437_); trivial.
% 20.34/20.49 (* end of lemma zenon_L691_ *)
% 20.34/20.49 assert (zenon_L692_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H37c zenon_H12f zenon_Hc8 zenon_H1dd zenon_H341 zenon_H166 zenon_H183 zenon_Ha3 zenon_H342 zenon_H340 zenon_H5b zenon_H4c zenon_H47 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_Hc5.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.34/20.49 apply (zenon_L689_); trivial.
% 20.34/20.49 apply (zenon_L690_); trivial.
% 20.34/20.49 apply (zenon_L400_); trivial.
% 20.34/20.49 apply (zenon_L691_); trivial.
% 20.34/20.49 (* end of lemma zenon_L692_ *)
% 20.34/20.49 assert (zenon_L693_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H332 zenon_H387 zenon_H5b zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H3b zenon_H39 zenon_H40d zenon_Hc5 zenon_Ha3 zenon_Hc0 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H4c zenon_H47 zenon_H358 zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H33e zenon_H121 zenon_H11c zenon_Hfc zenon_Hf1 zenon_Hdd zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.49 apply (zenon_L687_); trivial.
% 20.34/20.49 apply (zenon_L692_); trivial.
% 20.34/20.49 (* end of lemma zenon_L693_ *)
% 20.34/20.49 assert (zenon_L694_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H11b zenon_H273 zenon_H342 zenon_H340 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H256 zenon_H25e zenon_H255.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.34/20.49 apply (zenon_L326_); trivial.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.34/20.49 apply (zenon_L275_); trivial.
% 20.34/20.49 apply (zenon_L177_); trivial.
% 20.34/20.49 (* end of lemma zenon_L694_ *)
% 20.34/20.49 assert (zenon_L695_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H332 zenon_H121 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H342 zenon_H340 zenon_H8c zenon_H436 zenon_H433 zenon_H435.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.34/20.49 apply (zenon_L559_); trivial.
% 20.34/20.49 apply (zenon_L694_); trivial.
% 20.34/20.49 (* end of lemma zenon_L695_ *)
% 20.34/20.49 assert (zenon_L696_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H335 zenon_H273 zenon_H25e zenon_H436 zenon_H433 zenon_H435 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b zenon_H328.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.49 apply (zenon_L371_); trivial.
% 20.34/20.49 apply (zenon_L695_); trivial.
% 20.34/20.49 (* end of lemma zenon_L696_ *)
% 20.34/20.49 assert (zenon_L697_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H342 zenon_H340 zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.34/20.49 apply (zenon_L493_); trivial.
% 20.34/20.49 apply (zenon_L690_); trivial.
% 20.34/20.49 (* end of lemma zenon_L697_ *)
% 20.34/20.49 assert (zenon_L698_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H47 zenon_H49 zenon_H4c zenon_H5b zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.34/20.49 apply (zenon_L697_); trivial.
% 20.34/20.49 apply (zenon_L45_); trivial.
% 20.34/20.49 (* end of lemma zenon_L698_ *)
% 20.34/20.49 assert (zenon_L699_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.34/20.49 apply (zenon_L294_); trivial.
% 20.34/20.49 apply (zenon_L437_); trivial.
% 20.34/20.49 (* end of lemma zenon_L699_ *)
% 20.34/20.49 assert (zenon_L700_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H332 zenon_H387 zenon_H285 zenon_H265 zenon_H12f zenon_Hc8 zenon_H33e zenon_H1dd zenon_H341 zenon_H166 zenon_H183 zenon_H358 zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H342 zenon_H340 zenon_H5b zenon_H4c zenon_H47 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_H256 zenon_H25e zenon_H255 zenon_H132.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.34/20.49 apply (zenon_L698_); trivial.
% 20.34/20.49 apply (zenon_L699_); trivial.
% 20.34/20.49 apply (zenon_L374_); trivial.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.34/20.49 apply (zenon_L698_); trivial.
% 20.34/20.49 apply (zenon_L375_); trivial.
% 20.34/20.49 apply (zenon_L471_); trivial.
% 20.34/20.49 (* end of lemma zenon_L700_ *)
% 20.34/20.49 assert (zenon_L701_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H33e zenon_H338 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358 zenon_H47 zenon_H4c.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.34/20.49 apply (zenon_L68_); trivial.
% 20.34/20.49 apply (zenon_L699_); trivial.
% 20.34/20.49 (* end of lemma zenon_L701_ *)
% 20.34/20.49 assert (zenon_L702_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H332 zenon_H387 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_Hdd zenon_H249 zenon_H4c zenon_H47 zenon_H358 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H12f zenon_H132.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.49 apply (zenon_L666_); trivial.
% 20.34/20.49 apply (zenon_L701_); trivial.
% 20.34/20.49 apply (zenon_L611_); trivial.
% 20.34/20.49 (* end of lemma zenon_L702_ *)
% 20.34/20.49 assert (zenon_L703_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H481 zenon_H335 zenon_H387 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_Hc0 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b zenon_H328.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.49 apply (zenon_L371_); trivial.
% 20.34/20.49 apply (zenon_L702_); trivial.
% 20.34/20.49 (* end of lemma zenon_L703_ *)
% 20.34/20.49 assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H249 zenon_H5 zenon_H6 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.49 apply (zenon_L385_); trivial.
% 20.34/20.49 apply (zenon_L674_); trivial.
% 20.34/20.49 (* end of lemma zenon_L704_ *)
% 20.34/20.49 assert (zenon_L705_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H3ae zenon_H485 zenon_H387 zenon_H285 zenon_H265 zenon_H33e zenon_H166 zenon_H183 zenon_H358 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b zenon_Hfb zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_Hc0 zenon_H328 zenon_H23b zenon_H319 zenon_H398 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H435 zenon_H25e zenon_H273 zenon_H335 zenon_H484.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.49 apply (zenon_L696_); trivial.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.49 apply (zenon_L678_); trivial.
% 20.34/20.49 apply (zenon_L700_); trivial.
% 20.34/20.49 apply (zenon_L703_); trivial.
% 20.34/20.49 apply (zenon_L704_); trivial.
% 20.34/20.49 (* end of lemma zenon_L705_ *)
% 20.34/20.49 assert (zenon_L706_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp55)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H2e zenon_H40d zenon_H37 zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.34/20.49 apply (zenon_L428_); trivial.
% 20.34/20.49 apply (zenon_L516_); trivial.
% 20.34/20.49 (* end of lemma zenon_L706_ *)
% 20.34/20.49 assert (zenon_L707_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H47 zenon_H49 zenon_H4c zenon_H5b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.34/20.49 apply (zenon_L706_); trivial.
% 20.34/20.49 apply (zenon_L20_); trivial.
% 20.34/20.49 apply (zenon_L33_); trivial.
% 20.34/20.49 (* end of lemma zenon_L707_ *)
% 20.34/20.49 assert (zenon_L708_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H342 zenon_H340 zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_Hc5.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.34/20.49 apply (zenon_L707_); trivial.
% 20.34/20.49 apply (zenon_L690_); trivial.
% 20.34/20.49 apply (zenon_L400_); trivial.
% 20.34/20.49 apply (zenon_L100_); trivial.
% 20.34/20.49 (* end of lemma zenon_L708_ *)
% 20.34/20.49 assert (zenon_L709_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1051)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H14c zenon_Hc zenon_H1ad zenon_H486 zenon_H1b7 zenon_H1af.
% 20.34/20.49 generalize (zenon_H14c (a1051)). zenon_intro zenon_H1b0.
% 20.34/20.49 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1b1 ].
% 20.34/20.49 exact (zenon_Hb zenon_Hc).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ].
% 20.34/20.49 exact (zenon_H1b3 zenon_H1ad).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 20.34/20.49 generalize (zenon_H486 (a1051)). zenon_intro zenon_H487.
% 20.34/20.49 apply (zenon_imply_s _ _ zenon_H487); [ zenon_intro zenon_Hb | zenon_intro zenon_H488 ].
% 20.34/20.49 exact (zenon_Hb zenon_Hc).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H488); [ zenon_intro zenon_H1bb | zenon_intro zenon_H489 ].
% 20.34/20.49 exact (zenon_H1bb zenon_H1b7).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1b4 ].
% 20.34/20.49 exact (zenon_H1b5 zenon_H1ae).
% 20.34/20.49 exact (zenon_H1af zenon_H1b4).
% 20.34/20.49 exact (zenon_H1af zenon_H1b4).
% 20.34/20.49 (* end of lemma zenon_L709_ *)
% 20.34/20.49 assert (zenon_L710_ : (~(hskp16)) -> (hskp16) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H48a zenon_H48b.
% 20.34/20.49 exact (zenon_H48a zenon_H48b).
% 20.34/20.49 (* end of lemma zenon_L710_ *)
% 20.34/20.49 assert (zenon_L711_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp57)) -> (ndr1_0) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H48c zenon_H15f zenon_Hc zenon_H342 zenon_H340 zenon_H341 zenon_H1ad zenon_H1b7 zenon_H1af zenon_H166 zenon_H1f1 zenon_H48a.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.34/20.49 apply (zenon_L709_); trivial.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.34/20.49 apply (zenon_L292_); trivial.
% 20.34/20.49 exact (zenon_H15f zenon_H160).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.34/20.49 exact (zenon_H1f1 zenon_H1f2).
% 20.34/20.49 exact (zenon_H48a zenon_H48b).
% 20.34/20.49 (* end of lemma zenon_L711_ *)
% 20.34/20.49 assert (zenon_L712_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (ndr1_0) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H1af zenon_H1b7 zenon_H1ad zenon_Hc zenon_H1f1 zenon_H48a zenon_H48c.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.34/20.49 apply (zenon_L711_); trivial.
% 20.34/20.49 apply (zenon_L89_); trivial.
% 20.34/20.49 (* end of lemma zenon_L712_ *)
% 20.34/20.49 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H1cb zenon_Ha3 zenon_H48c zenon_H48a zenon_H1f1 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.34/20.49 apply (zenon_L712_); trivial.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.34/20.49 apply (zenon_L711_); trivial.
% 20.34/20.49 apply (zenon_L91_); trivial.
% 20.34/20.49 (* end of lemma zenon_L713_ *)
% 20.34/20.49 assert (zenon_L714_ : (forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H33a zenon_Hc zenon_H471 zenon_H46f zenon_H470.
% 20.34/20.49 generalize (zenon_H33a (a1028)). zenon_intro zenon_H48e.
% 20.34/20.49 apply (zenon_imply_s _ _ zenon_H48e); [ zenon_intro zenon_Hb | zenon_intro zenon_H48f ].
% 20.34/20.49 exact (zenon_Hb zenon_Hc).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H48f); [ zenon_intro zenon_H476 | zenon_intro zenon_H490 ].
% 20.34/20.49 exact (zenon_H476 zenon_H471).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H490); [ zenon_intro zenon_H475 | zenon_intro zenon_H477 ].
% 20.34/20.49 exact (zenon_H46f zenon_H475).
% 20.34/20.49 exact (zenon_H477 zenon_H470).
% 20.34/20.49 (* end of lemma zenon_L714_ *)
% 20.34/20.49 assert (zenon_L715_ : ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp52)) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H33e zenon_H336 zenon_H338 zenon_Hc zenon_H471 zenon_H46f zenon_H470.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H337 | zenon_intro zenon_H33f ].
% 20.34/20.49 exact (zenon_H336 zenon_H337).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H339 | zenon_intro zenon_H33a ].
% 20.34/20.49 exact (zenon_H338 zenon_H339).
% 20.34/20.49 apply (zenon_L714_); trivial.
% 20.34/20.49 (* end of lemma zenon_L715_ *)
% 20.34/20.49 assert (zenon_L716_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp21)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (~(hskp55)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H8f zenon_H39 zenon_H470 zenon_H471 zenon_H46f zenon_H37 zenon_H3b zenon_H78 zenon_Hc zenon_H340 zenon_H341 zenon_H342.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.34/20.49 exact (zenon_H37 zenon_H38).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.34/20.49 generalize (zenon_H40 (a1028)). zenon_intro zenon_H491.
% 20.34/20.49 apply (zenon_imply_s _ _ zenon_H491); [ zenon_intro zenon_Hb | zenon_intro zenon_H492 ].
% 20.34/20.49 exact (zenon_Hb zenon_Hc).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_H477 | zenon_intro zenon_H493 ].
% 20.34/20.49 exact (zenon_H477 zenon_H470).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H494 | zenon_intro zenon_H475 ].
% 20.34/20.49 generalize (zenon_H6e (a1028)). zenon_intro zenon_H495.
% 20.34/20.49 apply (zenon_imply_s _ _ zenon_H495); [ zenon_intro zenon_Hb | zenon_intro zenon_H496 ].
% 20.34/20.49 exact (zenon_Hb zenon_Hc).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H496); [ zenon_intro zenon_H498 | zenon_intro zenon_H497 ].
% 20.34/20.49 exact (zenon_H498 zenon_H494).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H497); [ zenon_intro zenon_H476 | zenon_intro zenon_H477 ].
% 20.34/20.49 exact (zenon_H476 zenon_H471).
% 20.34/20.49 exact (zenon_H477 zenon_H470).
% 20.34/20.49 exact (zenon_H46f zenon_H475).
% 20.34/20.49 exact (zenon_H39 zenon_H3a).
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.34/20.49 exact (zenon_H78 zenon_H79).
% 20.34/20.49 apply (zenon_L287_); trivial.
% 20.34/20.49 (* end of lemma zenon_L716_ *)
% 20.34/20.49 assert (zenon_L717_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H470 zenon_H471 zenon_H46f zenon_H39 zenon_H3b zenon_H47 zenon_H49 zenon_H4c zenon_H5b.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.34/20.49 apply (zenon_L716_); trivial.
% 20.34/20.49 apply (zenon_L20_); trivial.
% 20.34/20.49 apply (zenon_L293_); trivial.
% 20.34/20.49 (* end of lemma zenon_L717_ *)
% 20.34/20.49 assert (zenon_L718_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H39 zenon_H3b zenon_H47 zenon_H49 zenon_H4c zenon_H5b zenon_H338 zenon_Hc zenon_H471 zenon_H46f zenon_H470 zenon_H33e.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.34/20.49 apply (zenon_L715_); trivial.
% 20.34/20.49 apply (zenon_L717_); trivial.
% 20.34/20.49 (* end of lemma zenon_L718_ *)
% 20.34/20.49 assert (zenon_L719_ : ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (ndr1_0) -> (~(hskp34)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H12f zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H1dd zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_Hc zenon_H338 zenon_H5b zenon_H4c zenon_H47 zenon_H3b zenon_H39 zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.34/20.49 apply (zenon_L718_); trivial.
% 20.34/20.49 apply (zenon_L372_); trivial.
% 20.34/20.49 (* end of lemma zenon_L719_ *)
% 20.34/20.49 assert (zenon_L720_ : ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (ndr1_0) -> (~(hskp53)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H5b zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H3b zenon_H39 zenon_H46f zenon_H471 zenon_H470 zenon_Hc zenon_H78 zenon_H340 zenon_H341 zenon_H342 zenon_H8f.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.34/20.49 apply (zenon_L716_); trivial.
% 20.34/20.49 apply (zenon_L466_); trivial.
% 20.34/20.49 (* end of lemma zenon_L720_ *)
% 20.34/20.49 assert (zenon_L721_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H37c zenon_Ha3 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H470 zenon_H471 zenon_H46f zenon_H39 zenon_H3b zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5b.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.34/20.49 apply (zenon_L720_); trivial.
% 20.34/20.49 apply (zenon_L690_); trivial.
% 20.34/20.49 (* end of lemma zenon_L721_ *)
% 20.34/20.49 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H478 zenon_H387 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H285 zenon_H358 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H39 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_H33e zenon_H1dd zenon_H329 zenon_H32a zenon_H32b zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8 zenon_H12f.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.49 apply (zenon_L719_); trivial.
% 20.34/20.49 apply (zenon_L721_); trivial.
% 20.34/20.49 (* end of lemma zenon_L722_ *)
% 20.34/20.49 assert (zenon_L723_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c1_1 (a1080))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.49 do 0 intro. intros zenon_H47c zenon_H335 zenon_H47b zenon_Hc8 zenon_H25e zenon_H33e zenon_H1dd zenon_H358 zenon_H1cf zenon_H48c zenon_H48a zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H3ba zenon_H273 zenon_H285 zenon_H5b zenon_H340 zenon_H342 zenon_H19e zenon_H46d zenon_H387 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H23b zenon_H328.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.49 apply (zenon_L678_); trivial.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.49 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.34/20.49 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.34/20.49 apply (zenon_L708_); trivial.
% 20.34/20.49 apply (zenon_L713_); trivial.
% 20.34/20.49 apply (zenon_L628_); trivial.
% 20.34/20.49 apply (zenon_L372_); trivial.
% 20.34/20.49 apply (zenon_L692_); trivial.
% 20.34/20.49 apply (zenon_L722_); trivial.
% 20.34/20.49 (* end of lemma zenon_L723_ *)
% 20.34/20.49 assert (zenon_L724_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H325 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.34/20.50 apply (zenon_L383_); trivial.
% 20.34/20.50 apply (zenon_L318_); trivial.
% 20.34/20.50 (* end of lemma zenon_L724_ *)
% 20.34/20.50 assert (zenon_L725_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_H6 zenon_H1 zenon_H5.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.50 apply (zenon_L3_); trivial.
% 20.34/20.50 apply (zenon_L724_); trivial.
% 20.34/20.50 (* end of lemma zenon_L725_ *)
% 20.34/20.50 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H249 zenon_H5 zenon_H6 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_L725_); trivial.
% 20.34/20.50 apply (zenon_L674_); trivial.
% 20.34/20.50 (* end of lemma zenon_L726_ *)
% 20.34/20.50 assert (zenon_L727_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_H3ae zenon_H485 zenon_H387 zenon_H285 zenon_H265 zenon_H33e zenon_H166 zenon_H183 zenon_H358 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b zenon_Hfb zenon_Hcc zenon_Hf zenon_Hdc zenon_H3f3 zenon_H3b zenon_H3f5 zenon_H2e zenon_Hc0 zenon_H328 zenon_H23b zenon_H319 zenon_H398 zenon_H249 zenon_Hdd zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H435 zenon_H273 zenon_H335 zenon_H484 zenon_H46d zenon_H19e zenon_H165 zenon_H40d zenon_H48a zenon_H48c zenon_H1cf zenon_H47b zenon_H2df.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.34/20.50 apply (zenon_L705_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.50 apply (zenon_L696_); trivial.
% 20.34/20.50 apply (zenon_L723_); trivial.
% 20.34/20.50 apply (zenon_L703_); trivial.
% 20.34/20.50 apply (zenon_L726_); trivial.
% 20.34/20.50 apply (zenon_L206_); trivial.
% 20.34/20.50 (* end of lemma zenon_L727_ *)
% 20.34/20.50 assert (zenon_L728_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3f7 zenon_Hc zenon_H499 zenon_H49a zenon_H49b.
% 20.34/20.50 generalize (zenon_H3f7 (a1064)). zenon_intro zenon_H49c.
% 20.34/20.50 apply (zenon_imply_s _ _ zenon_H49c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49d ].
% 20.34/20.50 exact (zenon_Hb zenon_Hc).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H49d); [ zenon_intro zenon_H49f | zenon_intro zenon_H49e ].
% 20.34/20.50 exact (zenon_H49f zenon_H499).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a1 | zenon_intro zenon_H4a0 ].
% 20.34/20.50 exact (zenon_H4a1 zenon_H49a).
% 20.34/20.50 exact (zenon_H49b zenon_H4a0).
% 20.34/20.50 (* end of lemma zenon_L728_ *)
% 20.34/20.50 assert (zenon_L729_ : ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp4)) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3f5 zenon_H212 zenon_H3f3 zenon_Hc zenon_H499 zenon_H49a zenon_H49b.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f6 ].
% 20.34/20.50 exact (zenon_H212 zenon_H213).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H3f7 ].
% 20.34/20.50 exact (zenon_H3f3 zenon_H3f4).
% 20.34/20.50 apply (zenon_L728_); trivial.
% 20.34/20.50 (* end of lemma zenon_L729_ *)
% 20.34/20.50 assert (zenon_L730_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp4)) -> (~(hskp5)) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H4a2 zenon_H3f5 zenon_H212 zenon_H3f3.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.34/20.50 apply (zenon_L729_); trivial.
% 20.34/20.50 (* end of lemma zenon_L730_ *)
% 20.34/20.50 assert (zenon_L731_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H4a5 zenon_H4a6 zenon_H48c zenon_H3b0 zenon_H484 zenon_H435 zenon_H485 zenon_H47b zenon_H46d zenon_H2e0 zenon_H3f5 zenon_H3f3 zenon_H40d zenon_H2df zenon_H23b zenon_H23c zenon_Hfc zenon_H11c zenon_H121 zenon_Hf1 zenon_Hdd zenon_H1ec zenon_H149 zenon_H19e zenon_H358 zenon_H265 zenon_H165 zenon_H285 zenon_H33e zenon_H1c8 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H5b zenon_H3b zenon_H387 zenon_Hc0 zenon_H307 zenon_H2f9 zenon_H166 zenon_H308 zenon_H183 zenon_H319 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H137 zenon_H275 zenon_H277 zenon_H1eb zenon_Hc8 zenon_H12f zenon_H132 zenon_H328 zenon_H2e zenon_H20 zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335 zenon_H249 zenon_H293 zenon_H2b9 zenon_H2a6 zenon_H2ab zenon_H398 zenon_H423 zenon_H3ae zenon_H2de zenon_H3af.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.34/20.50 apply (zenon_L402_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_L422_); trivial.
% 20.34/20.50 apply (zenon_L489_); trivial.
% 20.34/20.50 apply (zenon_L206_); trivial.
% 20.34/20.50 apply (zenon_L522_); trivial.
% 20.34/20.50 apply (zenon_L547_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.34/20.50 apply (zenon_L402_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_L582_); trivial.
% 20.34/20.50 apply (zenon_L595_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_L601_); trivial.
% 20.34/20.50 apply (zenon_L595_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.50 apply (zenon_L3_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.34/20.50 apply (zenon_L587_); trivial.
% 20.34/20.50 apply (zenon_L607_); trivial.
% 20.34/20.50 apply (zenon_L581_); trivial.
% 20.34/20.50 apply (zenon_L613_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_L582_); trivial.
% 20.34/20.50 apply (zenon_L622_); trivial.
% 20.34/20.50 apply (zenon_L634_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.34/20.50 apply (zenon_L3_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.34/20.50 apply (zenon_L639_); trivial.
% 20.34/20.50 apply (zenon_L441_); trivial.
% 20.34/20.50 apply (zenon_L579_); trivial.
% 20.34/20.50 apply (zenon_L640_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.34/20.50 apply (zenon_L594_); trivial.
% 20.34/20.50 apply (zenon_L641_); trivial.
% 20.34/20.50 apply (zenon_L206_); trivial.
% 20.34/20.50 apply (zenon_L522_); trivial.
% 20.34/20.50 apply (zenon_L642_); trivial.
% 20.34/20.50 apply (zenon_L686_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.34/20.50 apply (zenon_L402_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.34/20.50 apply (zenon_L688_); trivial.
% 20.34/20.50 apply (zenon_L693_); trivial.
% 20.34/20.50 apply (zenon_L206_); trivial.
% 20.34/20.50 apply (zenon_L727_); trivial.
% 20.34/20.50 apply (zenon_L351_); trivial.
% 20.34/20.50 apply (zenon_L730_); trivial.
% 20.34/20.50 (* end of lemma zenon_L731_ *)
% 20.34/20.50 assert (zenon_L732_ : ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H20 zenon_H1b zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc zenon_H1d.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H1c | zenon_intro zenon_H26 ].
% 20.34/20.50 exact (zenon_H1b zenon_H1c).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e ].
% 20.34/20.50 generalize (zenon_H27 (a1043)). zenon_intro zenon_H4ad.
% 20.34/20.50 apply (zenon_imply_s _ _ zenon_H4ad); [ zenon_intro zenon_Hb | zenon_intro zenon_H4ae ].
% 20.34/20.50 exact (zenon_Hb zenon_Hc).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H4af ].
% 20.34/20.50 exact (zenon_H4ac zenon_H4b0).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4b1 ].
% 20.34/20.50 exact (zenon_H4b2 zenon_H4ab).
% 20.34/20.50 exact (zenon_H4aa zenon_H4b1).
% 20.34/20.50 exact (zenon_H1d zenon_H1e).
% 20.34/20.50 (* end of lemma zenon_L732_ *)
% 20.34/20.50 assert (zenon_L733_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb zenon_H132 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_L732_); trivial.
% 20.34/20.50 apply (zenon_L333_); trivial.
% 20.34/20.50 (* end of lemma zenon_L733_ *)
% 20.34/20.50 assert (zenon_L734_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (ndr1_0) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H2de zenon_H23b zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H2ab zenon_H1c7 zenon_H1c3 zenon_H2a6 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc zenon_H132 zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H31 zenon_H33 zenon_H138 zenon_H135 zenon_H137 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H293 zenon_H2e0.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_L733_); trivial.
% 20.34/20.50 apply (zenon_L249_); trivial.
% 20.34/20.50 (* end of lemma zenon_L734_ *)
% 20.34/20.50 assert (zenon_L735_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_L732_); trivial.
% 20.34/20.50 apply (zenon_L248_); trivial.
% 20.34/20.50 (* end of lemma zenon_L735_ *)
% 20.34/20.50 assert (zenon_L736_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_Hdd zenon_H249 zenon_H6 zenon_H5 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H273 zenon_Hc9 zenon_H5b zenon_H3b zenon_H31 zenon_H33 zenon_Hc0 zenon_H335 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_L732_); trivial.
% 20.34/20.50 apply (zenon_L281_); trivial.
% 20.34/20.50 (* end of lemma zenon_L736_ *)
% 20.34/20.50 assert (zenon_L737_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3b1 zenon_H2de zenon_H275 zenon_H2ab zenon_H2a6 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H335 zenon_Hc0 zenon_H33 zenon_H31 zenon_H3b zenon_H5b zenon_Hc9 zenon_H273 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H293 zenon_H2e0.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_L736_); trivial.
% 20.34/20.50 apply (zenon_L249_); trivial.
% 20.34/20.50 (* end of lemma zenon_L737_ *)
% 20.34/20.50 assert (zenon_L738_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H2b9 zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H335 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H293 zenon_H2e0.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_L735_); trivial.
% 20.34/20.50 apply (zenon_L351_); trivial.
% 20.34/20.50 (* end of lemma zenon_L738_ *)
% 20.34/20.50 assert (zenon_L739_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3b0 zenon_H2e0 zenon_H293 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb zenon_H132 zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20 zenon_H335 zenon_H5 zenon_H6 zenon_H12f zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H2ab zenon_H319 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H387 zenon_H328 zenon_H2b9 zenon_H2de.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_L733_); trivial.
% 20.34/20.50 apply (zenon_L351_); trivial.
% 20.34/20.50 apply (zenon_L738_); trivial.
% 20.34/20.50 (* end of lemma zenon_L739_ *)
% 20.34/20.50 assert (zenon_L740_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H4a7 zenon_H3af zenon_H3ae zenon_H23b zenon_H398 zenon_H121 zenon_Hf1 zenon_H2de zenon_H2b9 zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_H12f zenon_H6 zenon_H5 zenon_H335 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H132 zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H31 zenon_H33 zenon_H137 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H293 zenon_H2e0 zenon_H3b0.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.34/20.50 apply (zenon_L739_); trivial.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.34/20.50 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.34/20.50 apply (zenon_L732_); trivial.
% 20.34/20.50 apply (zenon_L390_); trivial.
% 20.34/20.50 apply (zenon_L351_); trivial.
% 20.34/20.50 (* end of lemma zenon_L740_ *)
% 20.34/20.50 assert (zenon_L741_ : ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c0_1 (a1043)) -> (ndr1_0) -> (~(hskp21)) -> False).
% 20.34/20.50 do 0 intro. intros zenon_H3b zenon_H37 zenon_H4ac zenon_H4aa zenon_H40a zenon_H4ab zenon_Hc zenon_H39.
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.34/20.50 exact (zenon_H37 zenon_H38).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.34/20.50 generalize (zenon_H40 (a1043)). zenon_intro zenon_H4b3.
% 20.34/20.50 apply (zenon_imply_s _ _ zenon_H4b3); [ zenon_intro zenon_Hb | zenon_intro zenon_H4b4 ].
% 20.34/20.50 exact (zenon_Hb zenon_Hc).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4b5 ].
% 20.34/20.50 exact (zenon_H4b2 zenon_H4ab).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H4b6 | zenon_intro zenon_H4b0 ].
% 20.34/20.50 generalize (zenon_H40a (a1043)). zenon_intro zenon_H4b7.
% 20.34/20.50 apply (zenon_imply_s _ _ zenon_H4b7); [ zenon_intro zenon_Hb | zenon_intro zenon_H4b8 ].
% 20.34/20.50 exact (zenon_Hb zenon_Hc).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H4b9 | zenon_intro zenon_H4af ].
% 20.34/20.50 exact (zenon_H4b9 zenon_H4b6).
% 20.34/20.50 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4b1 ].
% 20.34/20.50 exact (zenon_H4b2 zenon_H4ab).
% 20.34/20.50 exact (zenon_H4aa zenon_H4b1).
% 20.34/20.50 exact (zenon_H4ac zenon_H4b0).
% 20.34/20.50 exact (zenon_H39 zenon_H3a).
% 20.34/20.50 (* end of lemma zenon_L741_ *)
% 20.34/20.50 assert (zenon_L742_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (ndr1_0) -> (~(hskp21)) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H40d zenon_H60 zenon_H3b zenon_H37 zenon_H4ac zenon_H4aa zenon_H4ab zenon_Hc zenon_H39.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.36/20.50 exact (zenon_H37 zenon_H38).
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.36/20.50 generalize (zenon_H40 (a1043)). zenon_intro zenon_H4b3.
% 20.36/20.50 apply (zenon_imply_s _ _ zenon_H4b3); [ zenon_intro zenon_Hb | zenon_intro zenon_H4b4 ].
% 20.36/20.50 exact (zenon_Hb zenon_Hc).
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4b5 ].
% 20.36/20.50 exact (zenon_H4b2 zenon_H4ab).
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H4b6 | zenon_intro zenon_H4b0 ].
% 20.36/20.50 generalize (zenon_H403 (a1043)). zenon_intro zenon_H4ba.
% 20.36/20.50 apply (zenon_imply_s _ _ zenon_H4ba); [ zenon_intro zenon_Hb | zenon_intro zenon_H4bb ].
% 20.36/20.50 exact (zenon_Hb zenon_Hc).
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H4bb); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4bc ].
% 20.36/20.50 exact (zenon_H4b2 zenon_H4ab).
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_H4b9 | zenon_intro zenon_H4b0 ].
% 20.36/20.50 exact (zenon_H4b9 zenon_H4b6).
% 20.36/20.50 exact (zenon_H4ac zenon_H4b0).
% 20.36/20.50 exact (zenon_H4ac zenon_H4b0).
% 20.36/20.50 exact (zenon_H39 zenon_H3a).
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.36/20.50 exact (zenon_H60 zenon_H61).
% 20.36/20.50 apply (zenon_L741_); trivial.
% 20.36/20.50 (* end of lemma zenon_L742_ *)
% 20.36/20.50 assert (zenon_L743_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1043))) -> (ndr1_0) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> (~(hskp37)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H40d zenon_H4aa zenon_Hc zenon_H4ab zenon_H4ac zenon_H39 zenon_H3b zenon_H47 zenon_H49 zenon_H4c zenon_H5b.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.36/20.50 apply (zenon_L742_); trivial.
% 20.36/20.50 apply (zenon_L20_); trivial.
% 20.36/20.50 apply (zenon_L400_); trivial.
% 20.36/20.50 (* end of lemma zenon_L743_ *)
% 20.36/20.50 assert (zenon_L744_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H237 zenon_H12f zenon_Hc8 zenon_H255 zenon_H25e zenon_H256 zenon_H1dd zenon_H8f zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H3b zenon_H39 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H40d zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.50 apply (zenon_L743_); trivial.
% 20.36/20.50 apply (zenon_L277_); trivial.
% 20.36/20.50 (* end of lemma zenon_L744_ *)
% 20.36/20.50 assert (zenon_L745_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c1_1 (a1080))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H332 zenon_H23b zenon_H12f zenon_Hc8 zenon_H25e zenon_H1dd zenon_H8f zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H3b zenon_H39 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H40d zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.36/20.50 apply (zenon_L252_); trivial.
% 20.36/20.50 apply (zenon_L744_); trivial.
% 20.36/20.50 (* end of lemma zenon_L745_ *)
% 20.36/20.50 assert (zenon_L746_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_Hdd zenon_H249 zenon_H6 zenon_H5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H40d zenon_H3b zenon_H5b zenon_H335 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.36/20.50 apply (zenon_L732_); trivial.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.36/20.50 apply (zenon_L274_); trivial.
% 20.36/20.50 apply (zenon_L745_); trivial.
% 20.36/20.50 apply (zenon_L206_); trivial.
% 20.36/20.50 (* end of lemma zenon_L746_ *)
% 20.36/20.50 assert (zenon_L747_ : ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(hskp47)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_Hc zenon_H2ba zenon_H2bc zenon_H2bb zenon_H60 zenon_H3b zenon_H39 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.36/20.50 apply (zenon_L588_); trivial.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.36/20.50 exact (zenon_H60 zenon_H61).
% 20.36/20.50 apply (zenon_L741_); trivial.
% 20.36/20.50 apply (zenon_L20_); trivial.
% 20.36/20.50 (* end of lemma zenon_L747_ *)
% 20.36/20.50 assert (zenon_L748_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H8c zenon_H22e zenon_H230 zenon_Hc zenon_H250 zenon_Ha6 zenon_Ha7 zenon_Ha5.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.36/20.50 apply (zenon_L198_); trivial.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.36/20.50 apply (zenon_L495_); trivial.
% 20.36/20.50 apply (zenon_L200_); trivial.
% 20.36/20.50 (* end of lemma zenon_L748_ *)
% 20.36/20.50 assert (zenon_L749_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_Hbf zenon_H273 zenon_H230 zenon_H22e zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.36/20.50 apply (zenon_L748_); trivial.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.36/20.50 apply (zenon_L275_); trivial.
% 20.36/20.50 apply (zenon_L399_); trivial.
% 20.36/20.50 (* end of lemma zenon_L749_ *)
% 20.36/20.50 assert (zenon_L750_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H237 zenon_H12f zenon_Hc8 zenon_H1dd zenon_H8f zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H3b zenon_H39 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.36/20.50 apply (zenon_L747_); trivial.
% 20.36/20.50 apply (zenon_L749_); trivial.
% 20.36/20.50 apply (zenon_L500_); trivial.
% 20.36/20.50 (* end of lemma zenon_L750_ *)
% 20.36/20.50 assert (zenon_L751_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H332 zenon_H23b zenon_H12f zenon_Hc8 zenon_H1dd zenon_H8f zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H3b zenon_H39 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.36/20.50 apply (zenon_L252_); trivial.
% 20.36/20.50 apply (zenon_L750_); trivial.
% 20.36/20.50 (* end of lemma zenon_L751_ *)
% 20.36/20.50 assert (zenon_L752_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_Hdd zenon_H249 zenon_H6 zenon_H5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H40d zenon_H3b zenon_H2bb zenon_H2bc zenon_H2ba zenon_H5b zenon_H335 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.36/20.50 apply (zenon_L732_); trivial.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.36/20.50 apply (zenon_L274_); trivial.
% 20.36/20.50 apply (zenon_L751_); trivial.
% 20.36/20.50 apply (zenon_L206_); trivial.
% 20.36/20.50 (* end of lemma zenon_L752_ *)
% 20.36/20.50 assert (zenon_L753_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H332 zenon_H23b zenon_H12f zenon_Hc8 zenon_H255 zenon_H25e zenon_H256 zenon_H1dd zenon_H8f zenon_Ha3 zenon_H5b zenon_H4c zenon_H47 zenon_H3b zenon_H39 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H40d zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.36/20.50 apply (zenon_L251_); trivial.
% 20.36/20.50 apply (zenon_L744_); trivial.
% 20.36/20.50 (* end of lemma zenon_L753_ *)
% 20.36/20.50 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.36/20.50 apply (zenon_L274_); trivial.
% 20.36/20.50 apply (zenon_L674_); trivial.
% 20.36/20.50 (* end of lemma zenon_L754_ *)
% 20.36/20.50 assert (zenon_L755_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.36/20.50 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H484 zenon_Hc0 zenon_H265 zenon_H285 zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H435 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H398 zenon_H40d zenon_H3b zenon_H5b zenon_H485 zenon_H3ae zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.36/20.50 apply (zenon_L732_); trivial.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.36/20.50 apply (zenon_L660_); trivial.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.36/20.50 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.36/20.50 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.36/20.50 apply (zenon_L664_); trivial.
% 20.36/20.50 apply (zenon_L753_); trivial.
% 20.36/20.50 apply (zenon_L668_); trivial.
% 20.36/20.50 apply (zenon_L754_); trivial.
% 20.36/20.50 apply (zenon_L206_); trivial.
% 20.36/20.50 (* end of lemma zenon_L755_ *)
% 20.36/20.51 assert (zenon_L756_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H332 zenon_H387 zenon_H255 zenon_H25e zenon_H256 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H40d zenon_H4aa zenon_H4ab zenon_H4ac zenon_H39 zenon_H3b zenon_H47 zenon_H4c zenon_H5b zenon_H358 zenon_Ha3 zenon_H183 zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H12f.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.51 apply (zenon_L743_); trivial.
% 20.36/20.51 apply (zenon_L699_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.51 apply (zenon_L743_); trivial.
% 20.36/20.51 apply (zenon_L375_); trivial.
% 20.36/20.51 (* end of lemma zenon_L756_ *)
% 20.36/20.51 assert (zenon_L757_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H484 zenon_H285 zenon_H265 zenon_Hc0 zenon_H335 zenon_H273 zenon_H435 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_Hdd zenon_H249 zenon_H398 zenon_H319 zenon_H23b zenon_H328 zenon_H33e zenon_H166 zenon_H183 zenon_H358 zenon_H5b zenon_H3b zenon_H40d zenon_H3ba zenon_H3bb zenon_H3bc zenon_H387 zenon_H485 zenon_H3ae zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.36/20.51 apply (zenon_L732_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.36/20.51 apply (zenon_L696_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.36/20.51 apply (zenon_L678_); trivial.
% 20.36/20.51 apply (zenon_L756_); trivial.
% 20.36/20.51 apply (zenon_L703_); trivial.
% 20.36/20.51 apply (zenon_L704_); trivial.
% 20.36/20.51 apply (zenon_L206_); trivial.
% 20.36/20.51 (* end of lemma zenon_L757_ *)
% 20.36/20.51 assert (zenon_L758_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H335.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.36/20.51 apply (zenon_L346_); trivial.
% 20.36/20.51 apply (zenon_L539_); trivial.
% 20.36/20.51 apply (zenon_L223_); trivial.
% 20.36/20.51 (* end of lemma zenon_L758_ *)
% 20.36/20.51 assert (zenon_L759_ : ((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H4bd zenon_H4a5 zenon_H183 zenon_H166 zenon_H3b0 zenon_H2e0 zenon_H293 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_Hdd zenon_H249 zenon_H6 zenon_H5 zenon_H273 zenon_H40d zenon_H3b zenon_H5b zenon_H335 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20 zenon_H2b9 zenon_H33e zenon_H2a6 zenon_H358 zenon_H275 zenon_H2ab zenon_H398 zenon_H423 zenon_H1eb zenon_H265 zenon_H285 zenon_H137 zenon_H387 zenon_H277 zenon_H3ae zenon_H2de zenon_H484 zenon_Hc0 zenon_H435 zenon_H485 zenon_H3af.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Hc. zenon_intro zenon_H4be.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H3ba. zenon_intro zenon_H4bf.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H3bb. zenon_intro zenon_H3bc.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.36/20.51 apply (zenon_L746_); trivial.
% 20.36/20.51 apply (zenon_L547_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.36/20.51 apply (zenon_L752_); trivial.
% 20.36/20.51 apply (zenon_L642_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.36/20.51 apply (zenon_L755_); trivial.
% 20.36/20.51 apply (zenon_L685_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.36/20.51 apply (zenon_L757_); trivial.
% 20.36/20.51 apply (zenon_L758_); trivial.
% 20.36/20.51 (* end of lemma zenon_L759_ *)
% 20.36/20.51 assert (zenon_L760_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (ndr1_0) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H4c0 zenon_H40d zenon_H423 zenon_H484 zenon_H435 zenon_H485 zenon_H3af zenon_H335 zenon_H5 zenon_H6 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_Hf1 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H328 zenon_H2de zenon_H23b zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H2ab zenon_H1c7 zenon_H2a6 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc zenon_H132 zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H33 zenon_H137 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H293 zenon_H2e0 zenon_H3b0 zenon_H33e zenon_H358 zenon_H183 zenon_H166 zenon_H387 zenon_H398 zenon_H3ae zenon_H4a5.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.36/20.51 apply (zenon_L734_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.36/20.51 apply (zenon_L735_); trivial.
% 20.36/20.51 apply (zenon_L249_); trivial.
% 20.36/20.51 apply (zenon_L737_); trivial.
% 20.36/20.51 apply (zenon_L740_); trivial.
% 20.36/20.51 apply (zenon_L759_); trivial.
% 20.36/20.51 (* end of lemma zenon_L760_ *)
% 20.36/20.51 assert (zenon_L761_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11))))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H294 zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3.
% 20.36/20.51 generalize (zenon_H294 (a1039)). zenon_intro zenon_H4c4.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4c4); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c5 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c6 ].
% 20.36/20.51 exact (zenon_H4c1 zenon_H4c7).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4c6); [ zenon_intro zenon_H4c9 | zenon_intro zenon_H4c8 ].
% 20.36/20.51 exact (zenon_H4c9 zenon_H4c2).
% 20.36/20.51 exact (zenon_H4c3 zenon_H4c8).
% 20.36/20.51 (* end of lemma zenon_L761_ *)
% 20.36/20.51 assert (zenon_L762_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (~(hskp25)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Hbf zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H29e.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.36/20.51 apply (zenon_L761_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.36/20.51 exact (zenon_H29e zenon_H29f).
% 20.36/20.51 apply (zenon_L213_); trivial.
% 20.36/20.51 (* end of lemma zenon_L762_ *)
% 20.36/20.51 assert (zenon_L763_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.36/20.51 apply (zenon_L398_); trivial.
% 20.36/20.51 apply (zenon_L762_); trivial.
% 20.36/20.51 (* end of lemma zenon_L763_ *)
% 20.36/20.51 assert (zenon_L764_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (~(hskp36)) -> (~(hskp7)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H2ab zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_Hae zenon_H275.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ac ].
% 20.36/20.51 apply (zenon_L761_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_Haf | zenon_intro zenon_H276 ].
% 20.36/20.51 exact (zenon_Hae zenon_Haf).
% 20.36/20.51 exact (zenon_H275 zenon_H276).
% 20.36/20.51 (* end of lemma zenon_L764_ *)
% 20.36/20.51 assert (zenon_L765_ : (forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H4ca zenon_Hc zenon_H125 zenon_H126 zenon_H127.
% 20.36/20.51 generalize (zenon_H4ca (a1034)). zenon_intro zenon_H4cb.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4cb); [ zenon_intro zenon_Hb | zenon_intro zenon_H4cc ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4cc); [ zenon_intro zenon_H12c | zenon_intro zenon_H289 ].
% 20.36/20.51 exact (zenon_H125 zenon_H12c).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H12d | zenon_intro zenon_H12b ].
% 20.36/20.51 exact (zenon_H12d zenon_H126).
% 20.36/20.51 exact (zenon_H12b zenon_H127).
% 20.36/20.51 (* end of lemma zenon_L765_ *)
% 20.36/20.51 assert (zenon_L766_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (ndr1_0) -> (c1_1 (a1091)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H486 zenon_Hc zenon_H4cd zenon_H2ad zenon_H2ae.
% 20.36/20.51 generalize (zenon_H486 (a1091)). zenon_intro zenon_H4ce.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4ce); [ zenon_intro zenon_Hb | zenon_intro zenon_H4cf ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4cf); [ zenon_intro zenon_H4d1 | zenon_intro zenon_H4d0 ].
% 20.36/20.51 exact (zenon_H4d1 zenon_H4cd).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4d0); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b5 ].
% 20.36/20.51 exact (zenon_H2ad zenon_H2b3).
% 20.36/20.51 exact (zenon_H2ae zenon_H2b5).
% 20.36/20.51 (* end of lemma zenon_L766_ *)
% 20.36/20.51 assert (zenon_L767_ : (~(hskp24)) -> (hskp24) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H4d2 zenon_H4d3.
% 20.36/20.51 exact (zenon_H4d2 zenon_H4d3).
% 20.36/20.51 (* end of lemma zenon_L767_ *)
% 20.36/20.51 assert (zenon_L768_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp24)) -> (ndr1_0) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H48c zenon_H4d2 zenon_Hc zenon_H2ad zenon_H2ae zenon_H2af zenon_H125 zenon_H126 zenon_H127 zenon_H4d4 zenon_H1f1 zenon_H48a.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4d4); [ zenon_intro zenon_H4ca | zenon_intro zenon_H4d5 ].
% 20.36/20.51 apply (zenon_L765_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4d5); [ zenon_intro zenon_H4d6 | zenon_intro zenon_H4d3 ].
% 20.36/20.51 generalize (zenon_H4d6 (a1091)). zenon_intro zenon_H4d7.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4d7); [ zenon_intro zenon_Hb | zenon_intro zenon_H4d8 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4d8); [ zenon_intro zenon_H4cd | zenon_intro zenon_H4d9 ].
% 20.36/20.51 apply (zenon_L766_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4d9); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H2b3 ].
% 20.36/20.51 exact (zenon_H2af zenon_H2b4).
% 20.36/20.51 exact (zenon_H2ad zenon_H2b3).
% 20.36/20.51 exact (zenon_H4d2 zenon_H4d3).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.36/20.51 exact (zenon_H1f1 zenon_H1f2).
% 20.36/20.51 exact (zenon_H48a zenon_H48b).
% 20.36/20.51 (* end of lemma zenon_L768_ *)
% 20.36/20.51 assert (zenon_L769_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H127 zenon_H126 zenon_H125 zenon_H48a zenon_H48c.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.36/20.51 apply (zenon_L768_); trivial.
% 20.36/20.51 apply (zenon_L139_); trivial.
% 20.36/20.51 (* end of lemma zenon_L769_ *)
% 20.36/20.51 assert (zenon_L770_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H47 zenon_H4c.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.51 apply (zenon_L68_); trivial.
% 20.36/20.51 apply (zenon_L769_); trivial.
% 20.36/20.51 (* end of lemma zenon_L770_ *)
% 20.36/20.51 assert (zenon_L771_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H2b6 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.36/20.51 apply (zenon_L764_); trivial.
% 20.36/20.51 apply (zenon_L770_); trivial.
% 20.36/20.51 (* end of lemma zenon_L771_ *)
% 20.36/20.51 assert (zenon_L772_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H2b9 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.36/20.51 apply (zenon_L763_); trivial.
% 20.36/20.51 apply (zenon_L771_); trivial.
% 20.36/20.51 (* end of lemma zenon_L772_ *)
% 20.36/20.51 assert (zenon_L773_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (ndr1_0) -> (c3_1 (a1039)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H19f zenon_Hc zenon_H4da zenon_H4c1 zenon_H4c3.
% 20.36/20.51 generalize (zenon_H19f (a1039)). zenon_intro zenon_H4db.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4db); [ zenon_intro zenon_Hb | zenon_intro zenon_H4dc ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4dc); [ zenon_intro zenon_H4de | zenon_intro zenon_H4dd ].
% 20.36/20.51 exact (zenon_H4de zenon_H4da).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4dd); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c8 ].
% 20.36/20.51 exact (zenon_H4c1 zenon_H4c7).
% 20.36/20.51 exact (zenon_H4c3 zenon_H4c8).
% 20.36/20.51 (* end of lemma zenon_L773_ *)
% 20.36/20.51 assert (zenon_L774_ : (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H23f zenon_Hc zenon_H19f zenon_H4c1 zenon_H4c3.
% 20.36/20.51 generalize (zenon_H23f (a1039)). zenon_intro zenon_H4df.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4df); [ zenon_intro zenon_Hb | zenon_intro zenon_H4e0 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H4da | zenon_intro zenon_H4dd ].
% 20.36/20.51 apply (zenon_L773_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4dd); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c8 ].
% 20.36/20.51 exact (zenon_H4c1 zenon_H4c7).
% 20.36/20.51 exact (zenon_H4c3 zenon_H4c8).
% 20.36/20.51 (* end of lemma zenon_L774_ *)
% 20.36/20.51 assert (zenon_L775_ : (~(hskp1)) -> (hskp1) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H4e1 zenon_H4e2.
% 20.36/20.51 exact (zenon_H4e1 zenon_H4e2).
% 20.36/20.51 (* end of lemma zenon_L775_ *)
% 20.36/20.51 assert (zenon_L776_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp1)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H5a zenon_H1c7 zenon_H4e1 zenon_H4c1 zenon_H4c3 zenon_H4e3 zenon_H1c3 zenon_H1c5.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4e3); [ zenon_intro zenon_H23f | zenon_intro zenon_H4e4 ].
% 20.36/20.51 apply (zenon_L774_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4e4); [ zenon_intro zenon_H4e2 | zenon_intro zenon_H4e5 ].
% 20.36/20.51 exact (zenon_H4e1 zenon_H4e2).
% 20.36/20.51 generalize (zenon_H4e5 (a1053)). zenon_intro zenon_H4e6.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4e6); [ zenon_intro zenon_Hb | zenon_intro zenon_H4e7 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H45 | zenon_intro zenon_H4e8 ].
% 20.36/20.51 exact (zenon_H3c zenon_H45).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H46 | zenon_intro zenon_H44 ].
% 20.36/20.51 exact (zenon_H3d zenon_H46).
% 20.36/20.51 exact (zenon_H44 zenon_H3e).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.36/20.51 exact (zenon_H1c3 zenon_H1c4).
% 20.36/20.51 exact (zenon_H1c5 zenon_H1c6).
% 20.36/20.51 (* end of lemma zenon_L776_ *)
% 20.36/20.51 assert (zenon_L777_ : ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H2f zenon_H31 zenon_H33.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.36/20.51 apply (zenon_L14_); trivial.
% 20.36/20.51 apply (zenon_L776_); trivial.
% 20.36/20.51 (* end of lemma zenon_L777_ *)
% 20.36/20.51 assert (zenon_L778_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H19f zenon_H1a0 zenon_H1a2 zenon_H1be.
% 20.36/20.51 generalize (zenon_H4e9 (a1045)). zenon_intro zenon_H4ea.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4ea); [ zenon_intro zenon_Hb | zenon_intro zenon_H4eb ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4eb); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H4ec ].
% 20.36/20.51 apply (zenon_L102_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4ec); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1c2 ].
% 20.36/20.51 exact (zenon_H1a2 zenon_H1a7).
% 20.36/20.51 exact (zenon_H1be zenon_H1c2).
% 20.36/20.51 (* end of lemma zenon_L778_ *)
% 20.36/20.51 assert (zenon_L779_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1089)) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H14c zenon_Hc zenon_H4ed zenon_H4ee zenon_H4ef zenon_H4f0.
% 20.36/20.51 generalize (zenon_H14c (a1089)). zenon_intro zenon_H4f1.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4f1); [ zenon_intro zenon_Hb | zenon_intro zenon_H4f2 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4f2); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H4f3 ].
% 20.36/20.51 exact (zenon_H4f4 zenon_H4ed).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4f3); [ zenon_intro zenon_H4f6 | zenon_intro zenon_H4f5 ].
% 20.36/20.51 generalize (zenon_H4ee (a1089)). zenon_intro zenon_H4f7.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4f7); [ zenon_intro zenon_Hb | zenon_intro zenon_H4f8 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4f8); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H4f9 ].
% 20.36/20.51 exact (zenon_H4f4 zenon_H4ed).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4f9); [ zenon_intro zenon_H4fb | zenon_intro zenon_H4fa ].
% 20.36/20.51 exact (zenon_H4f6 zenon_H4fb).
% 20.36/20.51 exact (zenon_H4ef zenon_H4fa).
% 20.36/20.51 exact (zenon_H4f0 zenon_H4f5).
% 20.36/20.51 (* end of lemma zenon_L779_ *)
% 20.36/20.51 assert (zenon_L780_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ee zenon_H4ed zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H19f zenon_Hc zenon_H15f.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.36/20.51 apply (zenon_L779_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.36/20.51 apply (zenon_L107_); trivial.
% 20.36/20.51 exact (zenon_H15f zenon_H160).
% 20.36/20.51 (* end of lemma zenon_L780_ *)
% 20.36/20.51 assert (zenon_L781_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1089)) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H14c zenon_Hc zenon_H4ed zenon_H4fc zenon_H4ef zenon_H4f0.
% 20.36/20.51 generalize (zenon_H14c (a1089)). zenon_intro zenon_H4f1.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4f1); [ zenon_intro zenon_Hb | zenon_intro zenon_H4f2 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4f2); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H4f3 ].
% 20.36/20.51 exact (zenon_H4f4 zenon_H4ed).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4f3); [ zenon_intro zenon_H4f6 | zenon_intro zenon_H4f5 ].
% 20.36/20.51 generalize (zenon_H4fc (a1089)). zenon_intro zenon_H4fd.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H4fd); [ zenon_intro zenon_Hb | zenon_intro zenon_H4fe ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4fe); [ zenon_intro zenon_H4fb | zenon_intro zenon_H4ff ].
% 20.36/20.51 exact (zenon_H4f6 zenon_H4fb).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H4ff); [ zenon_intro zenon_H4fa | zenon_intro zenon_H4f5 ].
% 20.36/20.51 exact (zenon_H4ef zenon_H4fa).
% 20.36/20.51 exact (zenon_H4f0 zenon_H4f5).
% 20.36/20.51 exact (zenon_H4f0 zenon_H4f5).
% 20.36/20.51 (* end of lemma zenon_L781_ *)
% 20.36/20.51 assert (zenon_L782_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4fc zenon_H4ed zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H19f zenon_Hc zenon_H15f.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.36/20.51 apply (zenon_L781_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.36/20.51 apply (zenon_L107_); trivial.
% 20.36/20.51 exact (zenon_H15f zenon_H160).
% 20.36/20.51 (* end of lemma zenon_L782_ *)
% 20.36/20.51 assert (zenon_L783_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp57)) -> (ndr1_0) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H1c7 zenon_H15f zenon_Hc zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.36/20.51 apply (zenon_L778_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.36/20.51 apply (zenon_L780_); trivial.
% 20.36/20.51 apply (zenon_L782_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.36/20.51 exact (zenon_H1c3 zenon_H1c4).
% 20.36/20.51 exact (zenon_H1c5 zenon_H1c6).
% 20.36/20.51 (* end of lemma zenon_L783_ *)
% 20.36/20.51 assert (zenon_L784_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1be zenon_H1a2 zenon_H1a0 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.36/20.51 apply (zenon_L783_); trivial.
% 20.36/20.51 apply (zenon_L89_); trivial.
% 20.36/20.51 (* end of lemma zenon_L784_ *)
% 20.36/20.51 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.36/20.51 apply (zenon_L783_); trivial.
% 20.36/20.51 apply (zenon_L91_); trivial.
% 20.36/20.51 (* end of lemma zenon_L785_ *)
% 20.36/20.51 assert (zenon_L786_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H1ce zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.36/20.51 apply (zenon_L784_); trivial.
% 20.36/20.51 apply (zenon_L785_); trivial.
% 20.36/20.51 (* end of lemma zenon_L786_ *)
% 20.36/20.51 assert (zenon_L787_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.36/20.51 apply (zenon_L77_); trivial.
% 20.36/20.51 apply (zenon_L786_); trivial.
% 20.36/20.51 (* end of lemma zenon_L787_ *)
% 20.36/20.51 assert (zenon_L788_ : (forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H270 zenon_Hc zenon_H2af zenon_H486 zenon_H2ad zenon_H2ae.
% 20.36/20.51 generalize (zenon_H270 (a1091)). zenon_intro zenon_H502.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H502); [ zenon_intro zenon_Hb | zenon_intro zenon_H503 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H503); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H504 ].
% 20.36/20.51 exact (zenon_H2af zenon_H2b4).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H504); [ zenon_intro zenon_H4cd | zenon_intro zenon_H2b5 ].
% 20.36/20.51 apply (zenon_L766_); trivial.
% 20.36/20.51 exact (zenon_H2ae zenon_H2b5).
% 20.36/20.51 (* end of lemma zenon_L788_ *)
% 20.36/20.51 assert (zenon_L789_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_H155 zenon_Hc zenon_H2af zenon_H486 zenon_H2ad zenon_H2ae.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.36/20.51 apply (zenon_L244_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.36/20.51 apply (zenon_L449_); trivial.
% 20.36/20.51 apply (zenon_L788_); trivial.
% 20.36/20.51 (* end of lemma zenon_L789_ *)
% 20.36/20.51 assert (zenon_L790_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c0_1 (a1091))) -> (ndr1_0) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp57)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H166 zenon_H34a zenon_H349 zenon_H6e zenon_H2ae zenon_H2ad zenon_H486 zenon_H2af zenon_Hc zenon_H142 zenon_H141 zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H15f.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.36/20.51 apply (zenon_L480_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.36/20.51 apply (zenon_L789_); trivial.
% 20.36/20.51 exact (zenon_H15f zenon_H160).
% 20.36/20.51 (* end of lemma zenon_L790_ *)
% 20.36/20.51 assert (zenon_L791_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H267 zenon_Hc zenon_H7a zenon_H141 zenon_H142.
% 20.36/20.51 generalize (zenon_H267 (a1042)). zenon_intro zenon_H269.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_Hb | zenon_intro zenon_H26a ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H26b | zenon_intro zenon_H145 ].
% 20.36/20.51 generalize (zenon_H7a (a1042)). zenon_intro zenon_H505.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H505); [ zenon_intro zenon_Hb | zenon_intro zenon_H506 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H506); [ zenon_intro zenon_H268 | zenon_intro zenon_H145 ].
% 20.36/20.51 exact (zenon_H268 zenon_H26b).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ].
% 20.36/20.51 exact (zenon_H141 zenon_H148).
% 20.36/20.51 exact (zenon_H147 zenon_H142).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ].
% 20.36/20.51 exact (zenon_H141 zenon_H148).
% 20.36/20.51 exact (zenon_H147 zenon_H142).
% 20.36/20.51 (* end of lemma zenon_L791_ *)
% 20.36/20.51 assert (zenon_L792_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H142 zenon_H141 zenon_H7a zenon_Hc zenon_H2af zenon_H486 zenon_H2ad zenon_H2ae.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.36/20.51 apply (zenon_L244_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.36/20.51 apply (zenon_L791_); trivial.
% 20.36/20.51 apply (zenon_L788_); trivial.
% 20.36/20.51 (* end of lemma zenon_L792_ *)
% 20.36/20.51 assert (zenon_L793_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (ndr1_0) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_Hc zenon_H349 zenon_H34a zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H141 zenon_H142 zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H1f1 zenon_H48a zenon_H48c.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.36/20.51 apply (zenon_L790_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.36/20.51 exact (zenon_H78 zenon_H79).
% 20.36/20.51 apply (zenon_L792_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.36/20.51 exact (zenon_H1f1 zenon_H1f2).
% 20.36/20.51 exact (zenon_H48a zenon_H48b).
% 20.36/20.51 apply (zenon_L89_); trivial.
% 20.36/20.51 (* end of lemma zenon_L793_ *)
% 20.36/20.51 assert (zenon_L794_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Ha0 zenon_H11c zenon_Hfc zenon_H8c zenon_H349 zenon_H34a.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.36/20.51 exact (zenon_Hfc zenon_Hfd).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.36/20.51 apply (zenon_L602_); trivial.
% 20.36/20.51 apply (zenon_L433_); trivial.
% 20.36/20.51 (* end of lemma zenon_L794_ *)
% 20.36/20.51 assert (zenon_L795_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H8f zenon_H183.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.36/20.51 apply (zenon_L793_); trivial.
% 20.36/20.51 apply (zenon_L794_); trivial.
% 20.36/20.51 (* end of lemma zenon_L795_ *)
% 20.36/20.51 assert (zenon_L796_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H8f zenon_H183 zenon_H338 zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.36/20.51 apply (zenon_L561_); trivial.
% 20.36/20.51 apply (zenon_L795_); trivial.
% 20.36/20.51 (* end of lemma zenon_L796_ *)
% 20.36/20.51 assert (zenon_L797_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_H33e zenon_H338 zenon_H183 zenon_H8f zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H141 zenon_H142 zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_Ha3 zenon_H358.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.36/20.51 apply (zenon_L796_); trivial.
% 20.36/20.51 apply (zenon_L139_); trivial.
% 20.36/20.51 (* end of lemma zenon_L797_ *)
% 20.36/20.51 assert (zenon_L798_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H65 zenon_H64 zenon_H63 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.36/20.51 apply (zenon_L787_); trivial.
% 20.36/20.51 apply (zenon_L797_); trivial.
% 20.36/20.51 (* end of lemma zenon_L798_ *)
% 20.36/20.51 assert (zenon_L799_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.36/20.51 apply (zenon_L73_); trivial.
% 20.36/20.51 apply (zenon_L798_); trivial.
% 20.36/20.51 (* end of lemma zenon_L799_ *)
% 20.36/20.51 assert (zenon_L800_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.51 apply (zenon_L68_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.36/20.51 apply (zenon_L777_); trivial.
% 20.36/20.51 apply (zenon_L799_); trivial.
% 20.36/20.51 (* end of lemma zenon_L800_ *)
% 20.36/20.51 assert (zenon_L801_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.36/20.51 apply (zenon_L764_); trivial.
% 20.36/20.51 apply (zenon_L800_); trivial.
% 20.36/20.51 (* end of lemma zenon_L801_ *)
% 20.36/20.51 assert (zenon_L802_ : (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (ndr1_0) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H507 zenon_Hc zenon_H35e zenon_H35f zenon_H37f.
% 20.36/20.51 generalize (zenon_H507 (a1032)). zenon_intro zenon_H508.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H508); [ zenon_intro zenon_Hb | zenon_intro zenon_H509 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H509); [ zenon_intro zenon_H365 | zenon_intro zenon_H50a ].
% 20.36/20.51 exact (zenon_H365 zenon_H35e).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H50a); [ zenon_intro zenon_H364 | zenon_intro zenon_H386 ].
% 20.36/20.51 exact (zenon_H35f zenon_H364).
% 20.36/20.51 exact (zenon_H37f zenon_H386).
% 20.36/20.51 (* end of lemma zenon_L802_ *)
% 20.36/20.51 assert (zenon_L803_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58))))) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H40f zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1.
% 20.36/20.51 generalize (zenon_H40f (a1039)). zenon_intro zenon_H50b.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H50b); [ zenon_intro zenon_Hb | zenon_intro zenon_H50c ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H50c); [ zenon_intro zenon_H4c9 | zenon_intro zenon_H50d ].
% 20.36/20.51 exact (zenon_H4c9 zenon_H4c2).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H4c8 | zenon_intro zenon_H4c7 ].
% 20.36/20.51 exact (zenon_H4c3 zenon_H4c8).
% 20.36/20.51 exact (zenon_H4c1 zenon_H4c7).
% 20.36/20.51 (* end of lemma zenon_L803_ *)
% 20.36/20.51 assert (zenon_L804_ : (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V)))))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H413 zenon_Hc zenon_H50e zenon_H32a zenon_H32b zenon_H329.
% 20.36/20.51 generalize (zenon_H413 (a1021)). zenon_intro zenon_H50f.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H50f); [ zenon_intro zenon_Hb | zenon_intro zenon_H510 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H510); [ zenon_intro zenon_H512 | zenon_intro zenon_H511 ].
% 20.36/20.51 generalize (zenon_H50e (a1021)). zenon_intro zenon_H513.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H513); [ zenon_intro zenon_Hb | zenon_intro zenon_H514 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H514); [ zenon_intro zenon_H331 | zenon_intro zenon_H515 ].
% 20.36/20.51 exact (zenon_H32a zenon_H331).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H516 | zenon_intro zenon_H330 ].
% 20.36/20.51 exact (zenon_H516 zenon_H512).
% 20.36/20.51 exact (zenon_H330 zenon_H32b).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H511); [ zenon_intro zenon_H32f | zenon_intro zenon_H331 ].
% 20.36/20.51 exact (zenon_H329 zenon_H32f).
% 20.36/20.51 exact (zenon_H32a zenon_H331).
% 20.36/20.51 (* end of lemma zenon_L804_ *)
% 20.36/20.51 assert (zenon_L805_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H41a zenon_Hc zenon_H19f zenon_H4c1 zenon_H4c3 zenon_H4c2.
% 20.36/20.51 generalize (zenon_H41a (a1039)). zenon_intro zenon_H517.
% 20.36/20.51 apply (zenon_imply_s _ _ zenon_H517); [ zenon_intro zenon_Hb | zenon_intro zenon_H518 ].
% 20.36/20.51 exact (zenon_Hb zenon_Hc).
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H4da | zenon_intro zenon_H519 ].
% 20.36/20.51 apply (zenon_L773_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H4c9 | zenon_intro zenon_H4c7 ].
% 20.36/20.51 exact (zenon_H4c9 zenon_H4c2).
% 20.36/20.51 exact (zenon_H4c1 zenon_H4c7).
% 20.36/20.51 (* end of lemma zenon_L805_ *)
% 20.36/20.51 assert (zenon_L806_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V)))))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H1c7 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_Hc zenon_H50e zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.36/20.51 apply (zenon_L803_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.36/20.51 apply (zenon_L804_); trivial.
% 20.36/20.51 apply (zenon_L805_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.36/20.51 exact (zenon_H1c3 zenon_H1c4).
% 20.36/20.51 exact (zenon_H1c5 zenon_H1c6).
% 20.36/20.51 (* end of lemma zenon_L806_ *)
% 20.36/20.51 assert (zenon_L807_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp1)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H37c zenon_H51a zenon_H1c5 zenon_H1c3 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c7 zenon_H4e1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H507 | zenon_intro zenon_H51b ].
% 20.36/20.51 apply (zenon_L802_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H51b); [ zenon_intro zenon_H50e | zenon_intro zenon_H4e2 ].
% 20.36/20.51 apply (zenon_L806_); trivial.
% 20.36/20.51 exact (zenon_H4e1 zenon_H4e2).
% 20.36/20.51 (* end of lemma zenon_L807_ *)
% 20.36/20.51 assert (zenon_L808_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H132 zenon_H12f zenon_H358 zenon_Ha3 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_H33e zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.36/20.51 apply (zenon_L764_); trivial.
% 20.36/20.51 apply (zenon_L486_); trivial.
% 20.36/20.51 (* end of lemma zenon_L808_ *)
% 20.36/20.51 assert (zenon_L809_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H32b zenon_H32a zenon_H329 zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.36/20.51 apply (zenon_L201_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.36/20.51 apply (zenon_L275_); trivial.
% 20.36/20.51 apply (zenon_L322_); trivial.
% 20.36/20.51 (* end of lemma zenon_L809_ *)
% 20.36/20.51 assert (zenon_L810_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H329 zenon_H32a zenon_H32b zenon_H8c zenon_Ha6 zenon_Ha7 zenon_Ha5 zenon_H273 zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.36/20.51 apply (zenon_L809_); trivial.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.36/20.51 apply (zenon_L473_); trivial.
% 20.36/20.51 exact (zenon_H15f zenon_H160).
% 20.36/20.51 (* end of lemma zenon_L810_ *)
% 20.36/20.51 assert (zenon_L811_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (ndr1_0) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H32b zenon_H32a zenon_H329 zenon_Hc zenon_Ha5 zenon_Ha6 zenon_Ha7 zenon_H8c zenon_H230 zenon_H22e zenon_H22f zenon_H166.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.36/20.51 apply (zenon_L810_); trivial.
% 20.36/20.51 apply (zenon_L89_); trivial.
% 20.36/20.51 (* end of lemma zenon_L811_ *)
% 20.36/20.51 assert (zenon_L812_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Hbf zenon_Ha3 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.36/20.51 apply (zenon_L811_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.36/20.51 apply (zenon_L810_); trivial.
% 20.36/20.51 apply (zenon_L91_); trivial.
% 20.36/20.51 (* end of lemma zenon_L812_ *)
% 20.36/20.51 assert (zenon_L813_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.36/20.51 apply (zenon_L39_); trivial.
% 20.36/20.51 apply (zenon_L812_); trivial.
% 20.36/20.51 (* end of lemma zenon_L813_ *)
% 20.36/20.51 assert (zenon_L814_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H166 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_H93 zenon_H6c zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.36/20.51 apply (zenon_L162_); trivial.
% 20.36/20.51 apply (zenon_L813_); trivial.
% 20.36/20.51 (* end of lemma zenon_L814_ *)
% 20.36/20.51 assert (zenon_L815_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H166 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_H93 zenon_H6c zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.36/20.51 apply (zenon_L68_); trivial.
% 20.36/20.51 apply (zenon_L814_); trivial.
% 20.36/20.51 (* end of lemma zenon_L815_ *)
% 20.36/20.51 assert (zenon_L816_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H237 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.36/20.51 apply (zenon_L808_); trivial.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.36/20.51 apply (zenon_L764_); trivial.
% 20.36/20.51 apply (zenon_L815_); trivial.
% 20.36/20.51 (* end of lemma zenon_L816_ *)
% 20.36/20.51 assert (zenon_L817_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.36/20.51 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H423 zenon_H51a zenon_H387.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.36/20.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.36/20.51 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.36/20.51 apply (zenon_L801_); trivial.
% 20.36/20.51 apply (zenon_L807_); trivial.
% 20.36/20.51 apply (zenon_L816_); trivial.
% 20.36/20.51 (* end of lemma zenon_L817_ *)
% 20.36/20.51 assert (zenon_L818_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H335 zenon_H23b zenon_H1dd zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_H423 zenon_H51a zenon_H387 zenon_H5 zenon_H6 zenon_H328 zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.52 apply (zenon_L763_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.52 apply (zenon_L393_); trivial.
% 20.37/20.52 apply (zenon_L817_); trivial.
% 20.37/20.52 (* end of lemma zenon_L818_ *)
% 20.37/20.52 assert (zenon_L819_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.52 apply (zenon_L39_); trivial.
% 20.37/20.52 apply (zenon_L762_); trivial.
% 20.37/20.52 (* end of lemma zenon_L819_ *)
% 20.37/20.52 assert (zenon_L820_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.52 apply (zenon_L310_); trivial.
% 20.37/20.52 apply (zenon_L819_); trivial.
% 20.37/20.52 (* end of lemma zenon_L820_ *)
% 20.37/20.52 assert (zenon_L821_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.52 apply (zenon_L68_); trivial.
% 20.37/20.52 apply (zenon_L820_); trivial.
% 20.37/20.52 (* end of lemma zenon_L821_ *)
% 20.37/20.52 assert (zenon_L822_ : (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (c0_1 (a1021)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H403 zenon_Hc zenon_H512 zenon_H32b zenon_H32a.
% 20.37/20.52 generalize (zenon_H403 (a1021)). zenon_intro zenon_H51f.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H51f); [ zenon_intro zenon_Hb | zenon_intro zenon_H520 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H516 | zenon_intro zenon_H521 ].
% 20.37/20.52 exact (zenon_H516 zenon_H512).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H521); [ zenon_intro zenon_H330 | zenon_intro zenon_H331 ].
% 20.37/20.52 exact (zenon_H330 zenon_H32b).
% 20.37/20.52 exact (zenon_H32a zenon_H331).
% 20.37/20.52 (* end of lemma zenon_L822_ *)
% 20.37/20.52 assert (zenon_L823_ : (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H413 zenon_Hc zenon_H403 zenon_H32b zenon_H32a zenon_H329.
% 20.37/20.52 generalize (zenon_H413 (a1021)). zenon_intro zenon_H50f.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H50f); [ zenon_intro zenon_Hb | zenon_intro zenon_H510 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H510); [ zenon_intro zenon_H512 | zenon_intro zenon_H511 ].
% 20.37/20.52 apply (zenon_L822_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H511); [ zenon_intro zenon_H32f | zenon_intro zenon_H331 ].
% 20.37/20.52 exact (zenon_H329 zenon_H32f).
% 20.37/20.52 exact (zenon_H32a zenon_H331).
% 20.37/20.52 (* end of lemma zenon_L823_ *)
% 20.37/20.52 assert (zenon_L824_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H1c7 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_Hc zenon_H403 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.37/20.52 apply (zenon_L803_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.37/20.52 apply (zenon_L823_); trivial.
% 20.37/20.52 apply (zenon_L805_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.52 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.52 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.52 (* end of lemma zenon_L824_ *)
% 20.37/20.52 assert (zenon_L825_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (c2_1 (a1021)) -> (c0_1 (a1021)) -> (~(c3_1 (a1021))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H40a zenon_Hc zenon_H32b zenon_H512 zenon_H329.
% 20.37/20.52 generalize (zenon_H40a (a1021)). zenon_intro zenon_H522.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H522); [ zenon_intro zenon_Hb | zenon_intro zenon_H523 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H523); [ zenon_intro zenon_H330 | zenon_intro zenon_H524 ].
% 20.37/20.52 exact (zenon_H330 zenon_H32b).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H516 | zenon_intro zenon_H32f ].
% 20.37/20.52 exact (zenon_H516 zenon_H512).
% 20.37/20.52 exact (zenon_H329 zenon_H32f).
% 20.37/20.52 (* end of lemma zenon_L825_ *)
% 20.37/20.52 assert (zenon_L826_ : (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H413 zenon_Hc zenon_H40a zenon_H32b zenon_H329 zenon_H32a.
% 20.37/20.52 generalize (zenon_H413 (a1021)). zenon_intro zenon_H50f.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H50f); [ zenon_intro zenon_Hb | zenon_intro zenon_H510 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H510); [ zenon_intro zenon_H512 | zenon_intro zenon_H511 ].
% 20.37/20.52 apply (zenon_L825_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H511); [ zenon_intro zenon_H32f | zenon_intro zenon_H331 ].
% 20.37/20.52 exact (zenon_H329 zenon_H32f).
% 20.37/20.52 exact (zenon_H32a zenon_H331).
% 20.37/20.52 (* end of lemma zenon_L826_ *)
% 20.37/20.52 assert (zenon_L827_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H1c7 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_Hc zenon_H40a zenon_H32b zenon_H329 zenon_H32a zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.37/20.52 apply (zenon_L803_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.37/20.52 apply (zenon_L826_); trivial.
% 20.37/20.52 apply (zenon_L805_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.52 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.52 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.52 (* end of lemma zenon_L827_ *)
% 20.37/20.52 assert (zenon_L828_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H40d zenon_H60 zenon_H1c7 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_Hc zenon_H32b zenon_H329 zenon_H32a zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.37/20.52 apply (zenon_L824_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.37/20.52 exact (zenon_H60 zenon_H61).
% 20.37/20.52 apply (zenon_L827_); trivial.
% 20.37/20.52 (* end of lemma zenon_L828_ *)
% 20.37/20.52 assert (zenon_L829_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.52 apply (zenon_L828_); trivial.
% 20.37/20.52 apply (zenon_L762_); trivial.
% 20.37/20.52 (* end of lemma zenon_L829_ *)
% 20.37/20.52 assert (zenon_L830_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.52 apply (zenon_L162_); trivial.
% 20.37/20.52 apply (zenon_L819_); trivial.
% 20.37/20.52 (* end of lemma zenon_L830_ *)
% 20.37/20.52 assert (zenon_L831_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.52 apply (zenon_L68_); trivial.
% 20.37/20.52 apply (zenon_L830_); trivial.
% 20.37/20.52 (* end of lemma zenon_L831_ *)
% 20.37/20.52 assert (zenon_L832_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.52 apply (zenon_L764_); trivial.
% 20.37/20.52 apply (zenon_L831_); trivial.
% 20.37/20.52 (* end of lemma zenon_L832_ *)
% 20.37/20.52 assert (zenon_L833_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H29e zenon_H2a6 zenon_Hc5.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.52 apply (zenon_L829_); trivial.
% 20.37/20.52 apply (zenon_L832_); trivial.
% 20.37/20.52 (* end of lemma zenon_L833_ *)
% 20.37/20.52 assert (zenon_L834_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.52 apply (zenon_L3_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.52 apply (zenon_L764_); trivial.
% 20.37/20.52 apply (zenon_L821_); trivial.
% 20.37/20.52 apply (zenon_L833_); trivial.
% 20.37/20.52 (* end of lemma zenon_L834_ *)
% 20.37/20.52 assert (zenon_L835_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H2b9 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.52 apply (zenon_L834_); trivial.
% 20.37/20.52 apply (zenon_L771_); trivial.
% 20.37/20.52 (* end of lemma zenon_L835_ *)
% 20.37/20.52 assert (zenon_L836_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H140 zenon_H141 zenon_H142 zenon_H6e zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.52 apply (zenon_L181_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.52 apply (zenon_L443_); trivial.
% 20.37/20.52 apply (zenon_L322_); trivial.
% 20.37/20.52 (* end of lemma zenon_L836_ *)
% 20.37/20.52 assert (zenon_L837_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c0_1 (a1042)) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp57)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H282 zenon_H48c zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H140 zenon_H2ae zenon_H2ad zenon_H2af zenon_H142 zenon_H141 zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H15f zenon_H8f zenon_H1f1 zenon_H48a.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.52 apply (zenon_L836_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.52 apply (zenon_L789_); trivial.
% 20.37/20.52 exact (zenon_H15f zenon_H160).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.52 exact (zenon_H78 zenon_H79).
% 20.37/20.52 apply (zenon_L115_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.52 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.52 exact (zenon_H48a zenon_H48b).
% 20.37/20.52 (* end of lemma zenon_L837_ *)
% 20.37/20.52 assert (zenon_L838_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H183 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H273 zenon_H140 zenon_H141 zenon_H142 zenon_H2ae zenon_H2ad zenon_H2af zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H1f1 zenon_H48a zenon_H48c zenon_H285.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.52 apply (zenon_L531_); trivial.
% 20.37/20.52 apply (zenon_L837_); trivial.
% 20.37/20.52 apply (zenon_L89_); trivial.
% 20.37/20.52 (* end of lemma zenon_L838_ *)
% 20.37/20.52 assert (zenon_L839_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_Ha0 zenon_H11c zenon_Hfc zenon_H8c zenon_H10e zenon_H10c.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.37/20.52 exact (zenon_Hfc zenon_Hfd).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.37/20.52 apply (zenon_L602_); trivial.
% 20.37/20.52 apply (zenon_L119_); trivial.
% 20.37/20.52 (* end of lemma zenon_L839_ *)
% 20.37/20.52 assert (zenon_L840_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(hskp12)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (ndr1_0) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_Ha3 zenon_H11c zenon_H10c zenon_H10e zenon_Hfc zenon_H285 zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H2af zenon_H2ad zenon_H2ae zenon_H142 zenon_H141 zenon_H140 zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_Hc zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H183.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.52 apply (zenon_L838_); trivial.
% 20.37/20.52 apply (zenon_L839_); trivial.
% 20.37/20.52 (* end of lemma zenon_L840_ *)
% 20.37/20.52 assert (zenon_L841_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H285 zenon_Hfc zenon_H11c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.52 apply (zenon_L68_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.52 apply (zenon_L123_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.52 apply (zenon_L73_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.52 apply (zenon_L787_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.52 apply (zenon_L840_); trivial.
% 20.37/20.52 apply (zenon_L576_); trivial.
% 20.37/20.52 (* end of lemma zenon_L841_ *)
% 20.37/20.52 assert (zenon_L842_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H285 zenon_Hfc zenon_H11c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.52 apply (zenon_L764_); trivial.
% 20.37/20.52 apply (zenon_L841_); trivial.
% 20.37/20.52 (* end of lemma zenon_L842_ *)
% 20.37/20.52 assert (zenon_L843_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H387 zenon_H23c zenon_H121 zenon_H436 zenon_H433 zenon_H435 zenon_H1dd zenon_H19e zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_H1c8 zenon_H1cf zenon_H285 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.52 apply (zenon_L801_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.52 apply (zenon_L842_); trivial.
% 20.37/20.52 apply (zenon_L578_); trivial.
% 20.37/20.52 (* end of lemma zenon_L843_ *)
% 20.37/20.52 assert (zenon_L844_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H8c zenon_H22e zenon_H230 zenon_Hc zenon_H250 zenon_H64 zenon_H63 zenon_H65.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.37/20.52 apply (zenon_L242_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.37/20.52 apply (zenon_L495_); trivial.
% 20.37/20.52 apply (zenon_L243_); trivial.
% 20.37/20.52 (* end of lemma zenon_L844_ *)
% 20.37/20.52 assert (zenon_L845_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1083)) -> (~(c0_1 (a1083))) -> (~(c1_1 (a1083))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H156 zenon_H1fa zenon_H158.
% 20.37/20.52 generalize (zenon_H4e9 (a1083)). zenon_intro zenon_H525.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H525); [ zenon_intro zenon_Hb | zenon_intro zenon_H526 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H15c | zenon_intro zenon_H527 ].
% 20.37/20.52 exact (zenon_H15c zenon_H156).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H1fe | zenon_intro zenon_H15d ].
% 20.37/20.52 exact (zenon_H1fa zenon_H1fe).
% 20.37/20.52 exact (zenon_H158 zenon_H15d).
% 20.37/20.52 (* end of lemma zenon_L845_ *)
% 20.37/20.52 assert (zenon_L846_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H26c zenon_Hc zenon_H4e9 zenon_H156 zenon_H158 zenon_H157.
% 20.37/20.52 generalize (zenon_H26c (a1083)). zenon_intro zenon_H528.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H528); [ zenon_intro zenon_Hb | zenon_intro zenon_H529 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H1fa | zenon_intro zenon_H52a ].
% 20.37/20.52 apply (zenon_L845_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H15e | zenon_intro zenon_H15c ].
% 20.37/20.52 exact (zenon_H15e zenon_H157).
% 20.37/20.52 exact (zenon_H15c zenon_H156).
% 20.37/20.52 (* end of lemma zenon_L846_ *)
% 20.37/20.52 assert (zenon_L847_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ee zenon_H4ed zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H15f.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.52 apply (zenon_L779_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.52 apply (zenon_L79_); trivial.
% 20.37/20.52 exact (zenon_H15f zenon_H160).
% 20.37/20.52 (* end of lemma zenon_L847_ *)
% 20.37/20.52 assert (zenon_L848_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4fc zenon_H4ed zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.52 apply (zenon_L781_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.52 apply (zenon_L473_); trivial.
% 20.37/20.52 exact (zenon_H15f zenon_H160).
% 20.37/20.52 (* end of lemma zenon_L848_ *)
% 20.37/20.52 assert (zenon_L849_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H500 zenon_H26c zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.52 apply (zenon_L846_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.52 apply (zenon_L847_); trivial.
% 20.37/20.52 apply (zenon_L848_); trivial.
% 20.37/20.52 (* end of lemma zenon_L849_ *)
% 20.37/20.52 assert (zenon_L850_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1031))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (ndr1_0) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H22f zenon_H500 zenon_Hc zenon_H65 zenon_H64 zenon_H63 zenon_H230 zenon_H22e zenon_H8c zenon_H8f zenon_H183.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.52 apply (zenon_L844_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.52 apply (zenon_L849_); trivial.
% 20.37/20.52 exact (zenon_H275 zenon_H276).
% 20.37/20.52 apply (zenon_L89_); trivial.
% 20.37/20.52 apply (zenon_L308_); trivial.
% 20.37/20.52 (* end of lemma zenon_L850_ *)
% 20.37/20.52 assert (zenon_L851_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.52 apply (zenon_L162_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.52 apply (zenon_L850_); trivial.
% 20.37/20.52 apply (zenon_L139_); trivial.
% 20.37/20.52 (* end of lemma zenon_L851_ *)
% 20.37/20.52 assert (zenon_L852_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.52 apply (zenon_L68_); trivial.
% 20.37/20.52 apply (zenon_L851_); trivial.
% 20.37/20.52 (* end of lemma zenon_L852_ *)
% 20.37/20.52 assert (zenon_L853_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H157 zenon_H158 zenon_H156 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.52 apply (zenon_L764_); trivial.
% 20.37/20.52 apply (zenon_L852_); trivial.
% 20.37/20.52 (* end of lemma zenon_L853_ *)
% 20.37/20.52 assert (zenon_L854_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H325 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.52 apply (zenon_L764_); trivial.
% 20.37/20.52 apply (zenon_L599_); trivial.
% 20.37/20.52 (* end of lemma zenon_L854_ *)
% 20.37/20.52 assert (zenon_L855_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H203 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.52 apply (zenon_L3_); trivial.
% 20.37/20.52 apply (zenon_L854_); trivial.
% 20.37/20.52 (* end of lemma zenon_L855_ *)
% 20.37/20.52 assert (zenon_L856_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1083)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H84 zenon_Hc zenon_H156 zenon_H4e9 zenon_H158 zenon_H157.
% 20.37/20.52 generalize (zenon_H84 (a1083)). zenon_intro zenon_H1f7.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f8 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H15c | zenon_intro zenon_H1f9 ].
% 20.37/20.52 exact (zenon_H15c zenon_H156).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fa | zenon_intro zenon_H15e ].
% 20.37/20.52 apply (zenon_L845_); trivial.
% 20.37/20.52 exact (zenon_H15e zenon_H157).
% 20.37/20.52 (* end of lemma zenon_L856_ *)
% 20.37/20.52 assert (zenon_L857_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1083)) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H8c zenon_H157 zenon_H158 zenon_H4e9 zenon_H156 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.37/20.52 apply (zenon_L35_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.37/20.52 apply (zenon_L856_); trivial.
% 20.37/20.52 apply (zenon_L36_); trivial.
% 20.37/20.52 (* end of lemma zenon_L857_ *)
% 20.37/20.52 assert (zenon_L858_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H1ce zenon_Ha3 zenon_H156 zenon_H158 zenon_H157 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.52 apply (zenon_L784_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.52 apply (zenon_L857_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.52 apply (zenon_L780_); trivial.
% 20.37/20.52 apply (zenon_L782_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.52 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.52 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.52 apply (zenon_L91_); trivial.
% 20.37/20.52 (* end of lemma zenon_L858_ *)
% 20.37/20.52 assert (zenon_L859_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H1ed zenon_Ha3 zenon_H156 zenon_H158 zenon_H157 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.37/20.52 apply (zenon_L77_); trivial.
% 20.37/20.52 apply (zenon_L858_); trivial.
% 20.37/20.52 (* end of lemma zenon_L859_ *)
% 20.37/20.52 assert (zenon_L860_ : (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c2_1 (a1044))) -> (~(c1_1 (a1044))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H507 zenon_Hc zenon_H1e0 zenon_H3e8 zenon_H1e1.
% 20.37/20.52 generalize (zenon_H507 (a1044)). zenon_intro zenon_H52b.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H52b); [ zenon_intro zenon_Hb | zenon_intro zenon_H52c ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H3eb ].
% 20.37/20.52 exact (zenon_H1e7 zenon_H1e0).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H3eb); [ zenon_intro zenon_H3ec | zenon_intro zenon_H1e6 ].
% 20.37/20.52 exact (zenon_H3e8 zenon_H3ec).
% 20.37/20.52 exact (zenon_H1e1 zenon_H1e6).
% 20.37/20.52 (* end of lemma zenon_L860_ *)
% 20.37/20.52 assert (zenon_L861_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H6e zenon_Hc zenon_H507 zenon_H1e0 zenon_H1e1 zenon_H1df.
% 20.37/20.52 generalize (zenon_H6e (a1044)). zenon_intro zenon_H52d.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H52d); [ zenon_intro zenon_Hb | zenon_intro zenon_H52e ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3e8 | zenon_intro zenon_H52f ].
% 20.37/20.52 apply (zenon_L860_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e5 ].
% 20.37/20.52 exact (zenon_H1e7 zenon_H1e0).
% 20.37/20.52 exact (zenon_H1e5 zenon_H1df).
% 20.37/20.52 (* end of lemma zenon_L861_ *)
% 20.37/20.52 assert (zenon_L862_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H8f zenon_H1df zenon_H1e1 zenon_H1e0 zenon_H507 zenon_H78 zenon_Hc zenon_H157 zenon_H158 zenon_H156.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.52 apply (zenon_L861_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.52 exact (zenon_H78 zenon_H79).
% 20.37/20.52 apply (zenon_L115_); trivial.
% 20.37/20.52 (* end of lemma zenon_L862_ *)
% 20.37/20.52 assert (zenon_L863_ : ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp1)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H51a zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H8f zenon_H1c5 zenon_H1c3 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_Hc zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c7 zenon_H4e1.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H507 | zenon_intro zenon_H51b ].
% 20.37/20.52 apply (zenon_L862_); trivial.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H51b); [ zenon_intro zenon_H50e | zenon_intro zenon_H4e2 ].
% 20.37/20.52 apply (zenon_L806_); trivial.
% 20.37/20.52 exact (zenon_H4e1 zenon_H4e2).
% 20.37/20.52 (* end of lemma zenon_L863_ *)
% 20.37/20.52 assert (zenon_L864_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H1e8 zenon_H358 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a zenon_H338 zenon_H33e.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.52 apply (zenon_L561_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.52 apply (zenon_L863_); trivial.
% 20.37/20.52 apply (zenon_L430_); trivial.
% 20.37/20.52 (* end of lemma zenon_L864_ *)
% 20.37/20.52 assert (zenon_L865_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H358 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a zenon_H338 zenon_H33e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.52 apply (zenon_L73_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.52 apply (zenon_L859_); trivial.
% 20.37/20.52 apply (zenon_L864_); trivial.
% 20.37/20.52 (* end of lemma zenon_L865_ *)
% 20.37/20.52 assert (zenon_L866_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H156 zenon_H158 zenon_H157 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H33e zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H358 zenon_H1ec zenon_H1eb.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.52 apply (zenon_L865_); trivial.
% 20.37/20.52 apply (zenon_L807_); trivial.
% 20.37/20.52 (* end of lemma zenon_L866_ *)
% 20.37/20.52 assert (zenon_L867_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_H1eb zenon_H1ec zenon_H358 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H387.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.52 apply (zenon_L866_); trivial.
% 20.37/20.52 apply (zenon_L816_); trivial.
% 20.37/20.52 (* end of lemma zenon_L867_ *)
% 20.37/20.52 assert (zenon_L868_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H387 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H328.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.52 apply (zenon_L855_); trivial.
% 20.37/20.52 apply (zenon_L867_); trivial.
% 20.37/20.52 (* end of lemma zenon_L868_ *)
% 20.37/20.52 assert (zenon_L869_ : ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (ndr1_0) -> (~(hskp21)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H3b zenon_H37 zenon_H4ef zenon_H4f0 zenon_H4ed zenon_Hc zenon_H39.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.37/20.52 exact (zenon_H37 zenon_H38).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.37/20.52 generalize (zenon_H40 (a1089)). zenon_intro zenon_H530.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H530); [ zenon_intro zenon_Hb | zenon_intro zenon_H531 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H532 ].
% 20.37/20.52 exact (zenon_H4f4 zenon_H4ed).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H4f5 | zenon_intro zenon_H4fa ].
% 20.37/20.52 exact (zenon_H4f0 zenon_H4f5).
% 20.37/20.52 exact (zenon_H4ef zenon_H4fa).
% 20.37/20.52 exact (zenon_H39 zenon_H3a).
% 20.37/20.52 (* end of lemma zenon_L869_ *)
% 20.37/20.52 assert (zenon_L870_ : ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp37)) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H5b zenon_H4c zenon_H49 zenon_H47 zenon_Hc zenon_H4ed zenon_H4f0 zenon_H4ef zenon_H39 zenon_H3b.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.37/20.52 apply (zenon_L869_); trivial.
% 20.37/20.52 apply (zenon_L20_); trivial.
% 20.37/20.52 (* end of lemma zenon_L870_ *)
% 20.37/20.52 assert (zenon_L871_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_Hc0 zenon_H452 zenon_H451 zenon_H450 zenon_Hae zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.52 apply (zenon_L39_); trivial.
% 20.37/20.52 apply (zenon_L606_); trivial.
% 20.37/20.52 (* end of lemma zenon_L871_ *)
% 20.37/20.52 assert (zenon_L872_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H452 zenon_H451 zenon_H450 zenon_Hae zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.52 apply (zenon_L310_); trivial.
% 20.37/20.52 apply (zenon_L871_); trivial.
% 20.37/20.52 (* end of lemma zenon_L872_ *)
% 20.37/20.52 assert (zenon_L873_ : ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> (~(hskp36)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H452 zenon_H451 zenon_H450 zenon_Hae zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H3b zenon_H39 zenon_H4ef zenon_H4f0 zenon_H4ed zenon_Hc zenon_H47 zenon_H4c zenon_H5b.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.52 apply (zenon_L870_); trivial.
% 20.37/20.52 apply (zenon_L872_); trivial.
% 20.37/20.52 (* end of lemma zenon_L873_ *)
% 20.37/20.52 assert (zenon_L874_ : (~(hskp11)) -> (hskp11) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H533 zenon_H534.
% 20.37/20.52 exact (zenon_H533 zenon_H534).
% 20.37/20.52 (* end of lemma zenon_L874_ *)
% 20.37/20.52 assert (zenon_L875_ : ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (ndr1_0) -> (~(hskp39)) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H535 zenon_H533 zenon_H223 zenon_H21a zenon_H21c zenon_Hc zenon_H133.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H534 | zenon_intro zenon_H536 ].
% 20.37/20.52 exact (zenon_H533 zenon_H534).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H537 | zenon_intro zenon_H134 ].
% 20.37/20.52 generalize (zenon_H537 (a1033)). zenon_intro zenon_H538.
% 20.37/20.52 apply (zenon_imply_s _ _ zenon_H538); [ zenon_intro zenon_Hb | zenon_intro zenon_H539 ].
% 20.37/20.52 exact (zenon_Hb zenon_Hc).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H221 | zenon_intro zenon_H53a ].
% 20.37/20.52 exact (zenon_H221 zenon_H21c).
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H220 | zenon_intro zenon_H227 ].
% 20.37/20.52 exact (zenon_H220 zenon_H21a).
% 20.37/20.52 exact (zenon_H227 zenon_H223).
% 20.37/20.52 exact (zenon_H133 zenon_H134).
% 20.37/20.52 (* end of lemma zenon_L875_ *)
% 20.37/20.52 assert (zenon_L876_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.52 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H285 zenon_Hfc zenon_H11c zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.52 apply (zenon_L68_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.52 apply (zenon_L310_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.52 apply (zenon_L875_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.52 apply (zenon_L787_); trivial.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.52 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.52 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.52 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.53 apply (zenon_L838_); trivial.
% 20.37/20.53 apply (zenon_L604_); trivial.
% 20.37/20.53 apply (zenon_L576_); trivial.
% 20.37/20.53 (* end of lemma zenon_L876_ *)
% 20.37/20.53 assert (zenon_L877_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H22b zenon_H132 zenon_H1eb zenon_H1ec zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H285 zenon_Hfc zenon_H11c zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H535 zenon_H5b zenon_H4c zenon_H47 zenon_H4ed zenon_H4f0 zenon_H4ef zenon_H39 zenon_H3b zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H450 zenon_H451 zenon_H452 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H12f.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.53 apply (zenon_L873_); trivial.
% 20.37/20.53 apply (zenon_L876_); trivial.
% 20.37/20.53 (* end of lemma zenon_L877_ *)
% 20.37/20.53 assert (zenon_L878_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H484 zenon_H533 zenon_H535 zenon_H5b zenon_H39 zenon_H3b zenon_Hc0 zenon_H51a zenon_H387 zenon_H23c zenon_H121 zenon_H435 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H285 zenon_H265 zenon_Hc9 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H1ec zenon_H1eb zenon_H277 zenon_H485 zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.53 apply (zenon_L834_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.53 apply (zenon_L3_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.53 apply (zenon_L843_); trivial.
% 20.37/20.53 apply (zenon_L853_); trivial.
% 20.37/20.53 apply (zenon_L817_); trivial.
% 20.37/20.53 apply (zenon_L868_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.53 apply (zenon_L3_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.53 apply (zenon_L801_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.53 apply (zenon_L842_); trivial.
% 20.37/20.53 apply (zenon_L877_); trivial.
% 20.37/20.53 apply (zenon_L853_); trivial.
% 20.37/20.53 apply (zenon_L867_); trivial.
% 20.37/20.53 (* end of lemma zenon_L878_ *)
% 20.37/20.53 assert (zenon_L879_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H23a zenon_H53b zenon_H484 zenon_H533 zenon_H535 zenon_H5b zenon_H39 zenon_H3b zenon_Hc0 zenon_H51a zenon_H387 zenon_H23c zenon_H121 zenon_H435 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H285 zenon_H265 zenon_Hc9 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H273 zenon_H33e zenon_H1ec zenon_H1eb zenon_H277 zenon_H485 zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.53 apply (zenon_L835_); trivial.
% 20.37/20.53 apply (zenon_L878_); trivial.
% 20.37/20.53 (* end of lemma zenon_L879_ *)
% 20.37/20.53 assert (zenon_L880_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (ndr1_0) -> (c1_1 (a1082)) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H486 zenon_Hc zenon_H53c zenon_H240 zenon_H241.
% 20.37/20.53 generalize (zenon_H486 (a1082)). zenon_intro zenon_H53d.
% 20.37/20.53 apply (zenon_imply_s _ _ zenon_H53d); [ zenon_intro zenon_Hb | zenon_intro zenon_H53e ].
% 20.37/20.53 exact (zenon_Hb zenon_Hc).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H540 | zenon_intro zenon_H53f ].
% 20.37/20.53 exact (zenon_H540 zenon_H53c).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H246 | zenon_intro zenon_H248 ].
% 20.37/20.53 exact (zenon_H240 zenon_H246).
% 20.37/20.53 exact (zenon_H241 zenon_H248).
% 20.37/20.53 (* end of lemma zenon_L880_ *)
% 20.37/20.53 assert (zenon_L881_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp24)) -> (ndr1_0) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H48c zenon_H4d2 zenon_Hc zenon_H240 zenon_H241 zenon_H242 zenon_H125 zenon_H126 zenon_H127 zenon_H4d4 zenon_H1f1 zenon_H48a.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H4d4); [ zenon_intro zenon_H4ca | zenon_intro zenon_H4d5 ].
% 20.37/20.53 apply (zenon_L765_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H4d5); [ zenon_intro zenon_H4d6 | zenon_intro zenon_H4d3 ].
% 20.37/20.53 generalize (zenon_H4d6 (a1082)). zenon_intro zenon_H541.
% 20.37/20.53 apply (zenon_imply_s _ _ zenon_H541); [ zenon_intro zenon_Hb | zenon_intro zenon_H542 ].
% 20.37/20.53 exact (zenon_Hb zenon_Hc).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H53c | zenon_intro zenon_H543 ].
% 20.37/20.53 apply (zenon_L880_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ].
% 20.37/20.53 exact (zenon_H242 zenon_H247).
% 20.37/20.53 exact (zenon_H240 zenon_H246).
% 20.37/20.53 exact (zenon_H4d2 zenon_H4d3).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.53 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.53 exact (zenon_H48a zenon_H48b).
% 20.37/20.53 (* end of lemma zenon_L881_ *)
% 20.37/20.53 assert (zenon_L882_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H242 zenon_H241 zenon_H240 zenon_H127 zenon_H126 zenon_H125 zenon_H48a zenon_H48c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.53 apply (zenon_L881_); trivial.
% 20.37/20.53 apply (zenon_L139_); trivial.
% 20.37/20.53 (* end of lemma zenon_L882_ *)
% 20.37/20.53 assert (zenon_L883_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H242 zenon_H241 zenon_H240 zenon_H48a zenon_H48c zenon_H47 zenon_H4c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.53 apply (zenon_L68_); trivial.
% 20.37/20.53 apply (zenon_L882_); trivial.
% 20.37/20.53 (* end of lemma zenon_L883_ *)
% 20.37/20.53 assert (zenon_L884_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H242 zenon_H241 zenon_H240 zenon_H48a zenon_H48c zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.53 apply (zenon_L764_); trivial.
% 20.37/20.53 apply (zenon_L883_); trivial.
% 20.37/20.53 (* end of lemma zenon_L884_ *)
% 20.37/20.53 assert (zenon_L885_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H53b zenon_H2b9 zenon_H335 zenon_H23b zenon_H1dd zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H33e zenon_H273 zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H423 zenon_H51a zenon_H387 zenon_H5 zenon_H6 zenon_H328 zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_H48c zenon_H48a zenon_H240 zenon_H241 zenon_H242 zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.53 apply (zenon_L884_); trivial.
% 20.37/20.53 apply (zenon_L818_); trivial.
% 20.37/20.53 (* end of lemma zenon_L885_ *)
% 20.37/20.53 assert (zenon_L886_ : (~(hskp51)) -> (hskp51) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H544 zenon_H545.
% 20.37/20.53 exact (zenon_H544 zenon_H545).
% 20.37/20.53 (* end of lemma zenon_L886_ *)
% 20.37/20.53 assert (zenon_L887_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H142 zenon_H141 zenon_H140 zenon_H26c zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.53 apply (zenon_L181_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.53 apply (zenon_L176_); trivial.
% 20.37/20.53 apply (zenon_L322_); trivial.
% 20.37/20.53 (* end of lemma zenon_L887_ *)
% 20.37/20.53 assert (zenon_L888_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H546 zenon_Hc zenon_H4ef zenon_H4ed zenon_H4f0.
% 20.37/20.53 generalize (zenon_H546 (a1089)). zenon_intro zenon_H547.
% 20.37/20.53 apply (zenon_imply_s _ _ zenon_H547); [ zenon_intro zenon_Hb | zenon_intro zenon_H548 ].
% 20.37/20.53 exact (zenon_Hb zenon_Hc).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H4fa | zenon_intro zenon_H549 ].
% 20.37/20.53 exact (zenon_H4ef zenon_H4fa).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H4f5 ].
% 20.37/20.53 exact (zenon_H4f4 zenon_H4ed).
% 20.37/20.53 exact (zenon_H4f0 zenon_H4f5).
% 20.37/20.53 (* end of lemma zenon_L888_ *)
% 20.37/20.53 assert (zenon_L889_ : ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(hskp51)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1086))) -> (c2_1 (a1086)) -> (c3_1 (a1086)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H54a zenon_H544 zenon_H37f zenon_H35f zenon_H35e zenon_H14c zenon_H140 zenon_H141 zenon_H142 zenon_H279 zenon_H27a zenon_H27b zenon_H273 zenon_Hc zenon_H4ef zenon_H4ed zenon_H4f0.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H545 | zenon_intro zenon_H54b ].
% 20.37/20.53 exact (zenon_H544 zenon_H545).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H26c | zenon_intro zenon_H546 ].
% 20.37/20.53 apply (zenon_L887_); trivial.
% 20.37/20.53 apply (zenon_L888_); trivial.
% 20.37/20.53 (* end of lemma zenon_L889_ *)
% 20.37/20.53 assert (zenon_L890_ : (forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H270 zenon_Hc zenon_H242 zenon_H486 zenon_H240 zenon_H241.
% 20.37/20.53 generalize (zenon_H270 (a1082)). zenon_intro zenon_H54c.
% 20.37/20.53 apply (zenon_imply_s _ _ zenon_H54c); [ zenon_intro zenon_Hb | zenon_intro zenon_H54d ].
% 20.37/20.53 exact (zenon_Hb zenon_Hc).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H247 | zenon_intro zenon_H54e ].
% 20.37/20.53 exact (zenon_H242 zenon_H247).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H53c | zenon_intro zenon_H248 ].
% 20.37/20.53 apply (zenon_L880_); trivial.
% 20.37/20.53 exact (zenon_H241 zenon_H248).
% 20.37/20.53 (* end of lemma zenon_L890_ *)
% 20.37/20.53 assert (zenon_L891_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_H155 zenon_Hc zenon_H242 zenon_H486 zenon_H240 zenon_H241.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.53 apply (zenon_L244_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.53 apply (zenon_L449_); trivial.
% 20.37/20.53 apply (zenon_L890_); trivial.
% 20.37/20.53 (* end of lemma zenon_L891_ *)
% 20.37/20.53 assert (zenon_L892_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(hskp51)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c0_1 (a1042)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H282 zenon_H48c zenon_H15f zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_H242 zenon_H240 zenon_H241 zenon_H54a zenon_H544 zenon_H37f zenon_H35f zenon_H35e zenon_H140 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H166 zenon_H1f1 zenon_H48a.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.53 apply (zenon_L889_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.53 apply (zenon_L891_); trivial.
% 20.37/20.53 exact (zenon_H15f zenon_H160).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.53 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.53 exact (zenon_H48a zenon_H48b).
% 20.37/20.53 (* end of lemma zenon_L892_ *)
% 20.37/20.53 assert (zenon_L893_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(hskp51)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H242 zenon_H240 zenon_H241 zenon_H544 zenon_H273 zenon_H142 zenon_H141 zenon_H140 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H1f1 zenon_H48a zenon_H48c zenon_H285.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.53 apply (zenon_L531_); trivial.
% 20.37/20.53 apply (zenon_L892_); trivial.
% 20.37/20.53 apply (zenon_L89_); trivial.
% 20.37/20.53 (* end of lemma zenon_L893_ *)
% 20.37/20.53 assert (zenon_L894_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a1070))) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H267 zenon_Hc zenon_H54f zenon_H550 zenon_H551.
% 20.37/20.53 generalize (zenon_H267 (a1070)). zenon_intro zenon_H552.
% 20.37/20.53 apply (zenon_imply_s _ _ zenon_H552); [ zenon_intro zenon_Hb | zenon_intro zenon_H553 ].
% 20.37/20.53 exact (zenon_Hb zenon_Hc).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H555 | zenon_intro zenon_H554 ].
% 20.37/20.53 exact (zenon_H54f zenon_H555).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H557 | zenon_intro zenon_H556 ].
% 20.37/20.53 exact (zenon_H550 zenon_H557).
% 20.37/20.53 exact (zenon_H556 zenon_H551).
% 20.37/20.53 (* end of lemma zenon_L894_ *)
% 20.37/20.53 assert (zenon_L895_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (c2_1 (a1070)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H6e zenon_Hc zenon_H551 zenon_H267 zenon_H550 zenon_H558.
% 20.37/20.53 generalize (zenon_H6e (a1070)). zenon_intro zenon_H559.
% 20.37/20.53 apply (zenon_imply_s _ _ zenon_H559); [ zenon_intro zenon_Hb | zenon_intro zenon_H55a ].
% 20.37/20.53 exact (zenon_Hb zenon_Hc).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H556 | zenon_intro zenon_H55b ].
% 20.37/20.53 exact (zenon_H556 zenon_H551).
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H54f | zenon_intro zenon_H55c ].
% 20.37/20.53 apply (zenon_L894_); trivial.
% 20.37/20.53 exact (zenon_H55c zenon_H558).
% 20.37/20.53 (* end of lemma zenon_L895_ *)
% 20.37/20.53 assert (zenon_L896_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H558 zenon_H550 zenon_H551 zenon_H6e zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.53 apply (zenon_L181_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.53 apply (zenon_L895_); trivial.
% 20.37/20.53 apply (zenon_L322_); trivial.
% 20.37/20.53 (* end of lemma zenon_L896_ *)
% 20.37/20.53 assert (zenon_L897_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> (~(c0_1 (a1086))) -> (c2_1 (a1086)) -> (c3_1 (a1086)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H6e zenon_H551 zenon_H550 zenon_H558 zenon_H279 zenon_H27a zenon_H27b zenon_H273 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H15f.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.53 apply (zenon_L896_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.53 apply (zenon_L79_); trivial.
% 20.37/20.53 exact (zenon_H15f zenon_H160).
% 20.37/20.53 (* end of lemma zenon_L897_ *)
% 20.37/20.53 assert (zenon_L898_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp53)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H282 zenon_H8f zenon_H15f zenon_H273 zenon_H558 zenon_H550 zenon_H551 zenon_H35e zenon_H35f zenon_H37f zenon_H166 zenon_H78 zenon_H157 zenon_H158 zenon_H156.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.53 apply (zenon_L897_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.53 exact (zenon_H78 zenon_H79).
% 20.37/20.53 apply (zenon_L115_); trivial.
% 20.37/20.53 (* end of lemma zenon_L898_ *)
% 20.37/20.53 assert (zenon_L899_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H183 zenon_H8c zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H551 zenon_H550 zenon_H558 zenon_H273 zenon_H78 zenon_H8f zenon_H285.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.53 apply (zenon_L531_); trivial.
% 20.37/20.53 apply (zenon_L898_); trivial.
% 20.37/20.53 apply (zenon_L89_); trivial.
% 20.37/20.53 (* end of lemma zenon_L899_ *)
% 20.37/20.53 assert (zenon_L900_ : ((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H55d zenon_Ha3 zenon_H203 zenon_H1f1 zenon_H285 zenon_H8f zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H183.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.53 apply (zenon_L899_); trivial.
% 20.37/20.53 apply (zenon_L308_); trivial.
% 20.37/20.53 (* end of lemma zenon_L900_ *)
% 20.37/20.53 assert (zenon_L901_ : ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H560 zenon_H183 zenon_H8f zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H142 zenon_H141 zenon_H140 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H1f1 zenon_H48a zenon_H48c zenon_H285 zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_Ha3.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.53 apply (zenon_L893_); trivial.
% 20.37/20.53 apply (zenon_L308_); trivial.
% 20.37/20.53 apply (zenon_L900_); trivial.
% 20.37/20.53 (* end of lemma zenon_L901_ *)
% 20.37/20.53 assert (zenon_L902_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H285 zenon_H48c zenon_H48a zenon_H54a zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H560 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.53 apply (zenon_L68_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.53 apply (zenon_L123_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.53 apply (zenon_L73_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.53 apply (zenon_L787_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.53 apply (zenon_L901_); trivial.
% 20.37/20.53 apply (zenon_L576_); trivial.
% 20.37/20.53 (* end of lemma zenon_L902_ *)
% 20.37/20.53 assert (zenon_L903_ : ((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp12)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H55d zenon_Ha3 zenon_H11c zenon_H21a zenon_H21c zenon_Hfc zenon_H285 zenon_H8f zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H183.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.53 apply (zenon_L899_); trivial.
% 20.37/20.53 apply (zenon_L604_); trivial.
% 20.37/20.53 (* end of lemma zenon_L903_ *)
% 20.37/20.53 assert (zenon_L904_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H11c zenon_Hfc zenon_H285 zenon_H48c zenon_H48a zenon_H54a zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H560 zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.53 apply (zenon_L68_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.53 apply (zenon_L310_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.53 apply (zenon_L875_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.53 apply (zenon_L787_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.53 apply (zenon_L893_); trivial.
% 20.37/20.53 apply (zenon_L604_); trivial.
% 20.37/20.53 apply (zenon_L903_); trivial.
% 20.37/20.53 apply (zenon_L576_); trivial.
% 20.37/20.53 (* end of lemma zenon_L904_ *)
% 20.37/20.53 assert (zenon_L905_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H22b zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H11c zenon_Hfc zenon_H285 zenon_H48c zenon_H48a zenon_H54a zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H560 zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H535 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.53 apply (zenon_L764_); trivial.
% 20.37/20.53 apply (zenon_L904_); trivial.
% 20.37/20.53 (* end of lemma zenon_L905_ *)
% 20.37/20.53 assert (zenon_L906_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H387 zenon_H23c zenon_H533 zenon_H535 zenon_H1dd zenon_H19e zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_H1c8 zenon_H1cf zenon_H560 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H242 zenon_H240 zenon_H241 zenon_H54a zenon_H285 zenon_H203 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.53 apply (zenon_L801_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.53 apply (zenon_L764_); trivial.
% 20.37/20.53 apply (zenon_L902_); trivial.
% 20.37/20.53 apply (zenon_L905_); trivial.
% 20.37/20.53 (* end of lemma zenon_L906_ *)
% 20.37/20.53 assert (zenon_L907_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_H387 zenon_H23c zenon_H533 zenon_H535 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H560 zenon_H265 zenon_H242 zenon_H240 zenon_H241 zenon_H54a zenon_H285 zenon_Hc9 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H1ec zenon_H1eb zenon_H277 zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.53 apply (zenon_L834_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.53 apply (zenon_L3_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.53 apply (zenon_L906_); trivial.
% 20.37/20.53 apply (zenon_L853_); trivial.
% 20.37/20.53 apply (zenon_L817_); trivial.
% 20.37/20.53 (* end of lemma zenon_L907_ *)
% 20.37/20.53 assert (zenon_L908_ : ((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> (~(hskp20)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H290 zenon_H2df zenon_H23c zenon_H533 zenon_H535 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H560 zenon_H265 zenon_H54a zenon_H285 zenon_H277 zenon_H40d zenon_H203 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48a zenon_H48c zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H1b zenon_H1d zenon_H20 zenon_H2e zenon_Ha3 zenon_H328 zenon_H6 zenon_H5 zenon_H387 zenon_H51a zenon_H423 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H273 zenon_H33e zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H1dd zenon_H23b zenon_H335 zenon_H2b9 zenon_H53b.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.53 apply (zenon_L885_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.53 apply (zenon_L835_); trivial.
% 20.37/20.53 apply (zenon_L907_); trivial.
% 20.37/20.53 (* end of lemma zenon_L908_ *)
% 20.37/20.53 assert (zenon_L909_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (~(hskp25)) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (c1_1 (a1071)) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H29e zenon_Hc zenon_H10b zenon_H34a zenon_H349 zenon_H35c.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.37/20.53 apply (zenon_L761_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.37/20.53 exact (zenon_H29e zenon_H29f).
% 20.37/20.53 apply (zenon_L335_); trivial.
% 20.37/20.53 (* end of lemma zenon_L909_ *)
% 20.37/20.53 assert (zenon_L910_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp38)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H359 zenon_H1dd zenon_H29e zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_H2f zenon_H10e zenon_H10c zenon_H124.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.37/20.53 apply (zenon_L909_); trivial.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.37/20.53 exact (zenon_H2f zenon_H30).
% 20.37/20.53 apply (zenon_L117_); trivial.
% 20.37/20.53 (* end of lemma zenon_L910_ *)
% 20.37/20.53 assert (zenon_L911_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1037)) -> (~(c1_1 (a1037))) -> (c0_1 (a1037)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H358 zenon_H1dd zenon_H2f zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H338 zenon_Hc zenon_H10c zenon_H124 zenon_H10e zenon_H33e.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.53 apply (zenon_L286_); trivial.
% 20.37/20.53 apply (zenon_L910_); trivial.
% 20.37/20.53 (* end of lemma zenon_L911_ *)
% 20.37/20.53 assert (zenon_L912_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.53 apply (zenon_L911_); trivial.
% 20.37/20.53 apply (zenon_L819_); trivial.
% 20.37/20.53 (* end of lemma zenon_L912_ *)
% 20.37/20.53 assert (zenon_L913_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.53 apply (zenon_L68_); trivial.
% 20.37/20.53 apply (zenon_L912_); trivial.
% 20.37/20.53 (* end of lemma zenon_L913_ *)
% 20.37/20.53 assert (zenon_L914_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.53 apply (zenon_L764_); trivial.
% 20.37/20.53 apply (zenon_L913_); trivial.
% 20.37/20.53 (* end of lemma zenon_L914_ *)
% 20.37/20.53 assert (zenon_L915_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H1ee zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.53 apply (zenon_L531_); trivial.
% 20.37/20.53 apply (zenon_L183_); trivial.
% 20.37/20.53 (* end of lemma zenon_L915_ *)
% 20.37/20.53 assert (zenon_L916_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H37c zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H138 zenon_H135 zenon_H137.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.53 apply (zenon_L73_); trivial.
% 20.37/20.53 apply (zenon_L915_); trivial.
% 20.37/20.53 (* end of lemma zenon_L916_ *)
% 20.37/20.53 assert (zenon_L917_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.53 do 0 intro. intros zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.53 apply (zenon_L3_); trivial.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.53 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.53 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.54 apply (zenon_L914_); trivial.
% 20.37/20.54 apply (zenon_L916_); trivial.
% 20.37/20.54 (* end of lemma zenon_L917_ *)
% 20.37/20.54 assert (zenon_L918_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.54 apply (zenon_L917_); trivial.
% 20.37/20.54 apply (zenon_L833_); trivial.
% 20.37/20.54 (* end of lemma zenon_L918_ *)
% 20.37/20.54 assert (zenon_L919_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.54 apply (zenon_L918_); trivial.
% 20.37/20.54 apply (zenon_L771_); trivial.
% 20.37/20.54 (* end of lemma zenon_L919_ *)
% 20.37/20.54 assert (zenon_L920_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H387 zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.54 apply (zenon_L801_); trivial.
% 20.37/20.54 apply (zenon_L916_); trivial.
% 20.37/20.54 (* end of lemma zenon_L920_ *)
% 20.37/20.54 assert (zenon_L921_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H237 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.54 apply (zenon_L808_); trivial.
% 20.37/20.54 apply (zenon_L916_); trivial.
% 20.37/20.54 (* end of lemma zenon_L921_ *)
% 20.37/20.54 assert (zenon_L922_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H2b6 zenon_H335 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H423 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.54 apply (zenon_L3_); trivial.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.54 apply (zenon_L920_); trivial.
% 20.37/20.54 apply (zenon_L921_); trivial.
% 20.37/20.54 apply (zenon_L817_); trivial.
% 20.37/20.54 (* end of lemma zenon_L922_ *)
% 20.37/20.54 assert (zenon_L923_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_Hc9 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.54 apply (zenon_L918_); trivial.
% 20.37/20.54 apply (zenon_L922_); trivial.
% 20.37/20.54 (* end of lemma zenon_L923_ *)
% 20.37/20.54 assert (zenon_L924_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H2d8 zenon_H53b zenon_H51a zenon_Hc9 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H11c zenon_Hfc zenon_H1ec zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.54 apply (zenon_L919_); trivial.
% 20.37/20.54 apply (zenon_L923_); trivial.
% 20.37/20.54 (* end of lemma zenon_L924_ *)
% 20.37/20.54 assert (zenon_L925_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H23b zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.54 apply (zenon_L216_); trivial.
% 20.37/20.54 apply (zenon_L832_); trivial.
% 20.37/20.54 (* end of lemma zenon_L925_ *)
% 20.37/20.54 assert (zenon_L926_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H1dd zenon_H12f zenon_H132 zenon_H23b.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.54 apply (zenon_L925_); trivial.
% 20.37/20.54 apply (zenon_L771_); trivial.
% 20.37/20.54 (* end of lemma zenon_L926_ *)
% 20.37/20.54 assert (zenon_L927_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.54 apply (zenon_L777_); trivial.
% 20.37/20.54 apply (zenon_L819_); trivial.
% 20.37/20.54 (* end of lemma zenon_L927_ *)
% 20.37/20.54 assert (zenon_L928_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H23b zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.54 apply (zenon_L927_); trivial.
% 20.37/20.54 apply (zenon_L220_); trivial.
% 20.37/20.54 (* end of lemma zenon_L928_ *)
% 20.37/20.54 assert (zenon_L929_ : (forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5))))) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H561 zenon_Hc zenon_H296 zenon_H295 zenon_H297.
% 20.37/20.54 generalize (zenon_H561 (a1079)). zenon_intro zenon_H562.
% 20.37/20.54 apply (zenon_imply_s _ _ zenon_H562); [ zenon_intro zenon_Hb | zenon_intro zenon_H563 ].
% 20.37/20.54 exact (zenon_Hb zenon_Hc).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H29d | zenon_intro zenon_H421 ].
% 20.37/20.54 exact (zenon_H29d zenon_H296).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H421); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ].
% 20.37/20.54 exact (zenon_H295 zenon_H29b).
% 20.37/20.54 exact (zenon_H297 zenon_H29c).
% 20.37/20.54 (* end of lemma zenon_L929_ *)
% 20.37/20.54 assert (zenon_L930_ : (forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (c1_1 (a1086)) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H564 zenon_Hc zenon_H42f zenon_H27b zenon_H27a.
% 20.37/20.54 generalize (zenon_H564 (a1086)). zenon_intro zenon_H565.
% 20.37/20.54 apply (zenon_imply_s _ _ zenon_H565); [ zenon_intro zenon_Hb | zenon_intro zenon_H566 ].
% 20.37/20.54 exact (zenon_Hb zenon_Hc).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H566); [ zenon_intro zenon_H42b | zenon_intro zenon_H567 ].
% 20.37/20.54 exact (zenon_H42b zenon_H42f).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H280 | zenon_intro zenon_H281 ].
% 20.37/20.54 exact (zenon_H280 zenon_H27b).
% 20.37/20.54 exact (zenon_H281 zenon_H27a).
% 20.37/20.54 (* end of lemma zenon_L930_ *)
% 20.37/20.54 assert (zenon_L931_ : (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H1f6 zenon_Hc zenon_H564 zenon_H27b zenon_H27a zenon_H279.
% 20.37/20.54 generalize (zenon_H1f6 (a1086)). zenon_intro zenon_H568.
% 20.37/20.54 apply (zenon_imply_s _ _ zenon_H568); [ zenon_intro zenon_Hb | zenon_intro zenon_H569 ].
% 20.37/20.54 exact (zenon_Hb zenon_Hc).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H569); [ zenon_intro zenon_H42f | zenon_intro zenon_H56a ].
% 20.37/20.54 apply (zenon_L930_); trivial.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H56a); [ zenon_intro zenon_H27f | zenon_intro zenon_H281 ].
% 20.37/20.54 exact (zenon_H279 zenon_H27f).
% 20.37/20.54 exact (zenon_H281 zenon_H27a).
% 20.37/20.54 (* end of lemma zenon_L931_ *)
% 20.37/20.54 assert (zenon_L932_ : ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (~(c0_1 (a1086))) -> (c2_1 (a1086)) -> (c3_1 (a1086)) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H203 zenon_H1f1 zenon_H279 zenon_H27a zenon_H27b zenon_H564 zenon_Hc zenon_H12 zenon_H10 zenon_H11.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.37/20.54 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.37/20.54 apply (zenon_L931_); trivial.
% 20.37/20.54 apply (zenon_L267_); trivial.
% 20.37/20.54 (* end of lemma zenon_L932_ *)
% 20.37/20.54 assert (zenon_L933_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp33)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H282 zenon_H56b zenon_H1c5 zenon_H297 zenon_H295 zenon_H296 zenon_H203 zenon_H1f1 zenon_H12 zenon_H10 zenon_H11.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H56b); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H56c ].
% 20.37/20.54 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H56c); [ zenon_intro zenon_H561 | zenon_intro zenon_H564 ].
% 20.37/20.54 apply (zenon_L929_); trivial.
% 20.37/20.54 apply (zenon_L932_); trivial.
% 20.37/20.54 (* end of lemma zenon_L933_ *)
% 20.37/20.54 assert (zenon_L934_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp42)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp33)) -> (ndr1_0) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H285 zenon_H56b zenon_H1f1 zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H1c5 zenon_Hc zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.54 apply (zenon_L531_); trivial.
% 20.37/20.54 apply (zenon_L933_); trivial.
% 20.37/20.54 (* end of lemma zenon_L934_ *)
% 20.37/20.54 assert (zenon_L935_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.54 apply (zenon_L934_); trivial.
% 20.37/20.54 apply (zenon_L139_); trivial.
% 20.37/20.54 (* end of lemma zenon_L935_ *)
% 20.37/20.54 assert (zenon_L936_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.54 apply (zenon_L68_); trivial.
% 20.37/20.54 apply (zenon_L935_); trivial.
% 20.37/20.54 (* end of lemma zenon_L936_ *)
% 20.37/20.54 assert (zenon_L937_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.54 apply (zenon_L764_); trivial.
% 20.37/20.54 apply (zenon_L936_); trivial.
% 20.37/20.54 (* end of lemma zenon_L937_ *)
% 20.37/20.54 assert (zenon_L938_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c0_1 (a1031))) -> (~(c1_1 (a1031))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H230 zenon_H31d zenon_H22f.
% 20.37/20.54 generalize (zenon_H4e9 (a1031)). zenon_intro zenon_H56d.
% 20.37/20.54 apply (zenon_imply_s _ _ zenon_H56d); [ zenon_intro zenon_Hb | zenon_intro zenon_H56e ].
% 20.37/20.54 exact (zenon_Hb zenon_Hc).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H56e); [ zenon_intro zenon_H235 | zenon_intro zenon_H56f ].
% 20.37/20.54 exact (zenon_H235 zenon_H230).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H56f); [ zenon_intro zenon_H321 | zenon_intro zenon_H236 ].
% 20.37/20.54 exact (zenon_H31d zenon_H321).
% 20.37/20.54 exact (zenon_H22f zenon_H236).
% 20.37/20.54 (* end of lemma zenon_L938_ *)
% 20.37/20.54 assert (zenon_L939_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H26c zenon_Hc zenon_H4e9 zenon_H230 zenon_H22f zenon_H22e.
% 20.37/20.54 generalize (zenon_H26c (a1031)). zenon_intro zenon_H570.
% 20.37/20.54 apply (zenon_imply_s _ _ zenon_H570); [ zenon_intro zenon_Hb | zenon_intro zenon_H571 ].
% 20.37/20.54 exact (zenon_Hb zenon_Hc).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H571); [ zenon_intro zenon_H31d | zenon_intro zenon_H572 ].
% 20.37/20.54 apply (zenon_L938_); trivial.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H572); [ zenon_intro zenon_H234 | zenon_intro zenon_H235 ].
% 20.37/20.54 exact (zenon_H234 zenon_H22e).
% 20.37/20.54 exact (zenon_H235 zenon_H230).
% 20.37/20.54 (* end of lemma zenon_L939_ *)
% 20.37/20.54 assert (zenon_L940_ : (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (ndr1_0) -> (c0_1 (a1084)) -> (~(c3_1 (a1084))) -> (~(c1_1 (a1084))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H4ee zenon_Hc zenon_H24 zenon_H23 zenon_H25.
% 20.37/20.54 generalize (zenon_H4ee (a1084)). zenon_intro zenon_H573.
% 20.37/20.54 apply (zenon_imply_s _ _ zenon_H573); [ zenon_intro zenon_Hb | zenon_intro zenon_H574 ].
% 20.37/20.54 exact (zenon_Hb zenon_Hc).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H574); [ zenon_intro zenon_H2d | zenon_intro zenon_H575 ].
% 20.37/20.54 exact (zenon_H2d zenon_H24).
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 20.37/20.54 exact (zenon_H23 zenon_H2c).
% 20.37/20.54 exact (zenon_H25 zenon_H2b).
% 20.37/20.54 (* end of lemma zenon_L940_ *)
% 20.37/20.54 assert (zenon_L941_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H500 zenon_H26c zenon_H25 zenon_H23 zenon_H24 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.54 apply (zenon_L939_); trivial.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.54 apply (zenon_L940_); trivial.
% 20.37/20.54 apply (zenon_L848_); trivial.
% 20.37/20.54 (* end of lemma zenon_L941_ *)
% 20.37/20.54 assert (zenon_L942_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H1f zenon_H183 zenon_H8f zenon_H78 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H22e zenon_H22f zenon_H230 zenon_H275 zenon_H277.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.54 apply (zenon_L244_); trivial.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.54 apply (zenon_L941_); trivial.
% 20.37/20.54 exact (zenon_H275 zenon_H276).
% 20.37/20.54 apply (zenon_L89_); trivial.
% 20.37/20.54 (* end of lemma zenon_L942_ *)
% 20.37/20.54 assert (zenon_L943_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H11c zenon_Hfc zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H277 zenon_H275 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2e zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.54 apply (zenon_L162_); trivial.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.37/20.54 apply (zenon_L7_); trivial.
% 20.37/20.54 apply (zenon_L942_); trivial.
% 20.37/20.54 apply (zenon_L839_); trivial.
% 20.37/20.54 (* end of lemma zenon_L943_ *)
% 20.37/20.54 assert (zenon_L944_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H11c zenon_Hfc zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H277 zenon_H275 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2e zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.54 apply (zenon_L68_); trivial.
% 20.37/20.54 apply (zenon_L943_); trivial.
% 20.37/20.54 (* end of lemma zenon_L944_ *)
% 20.37/20.54 assert (zenon_L945_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_H11c zenon_Hfc zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H277 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2e zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.54 apply (zenon_L217_); trivial.
% 20.37/20.54 apply (zenon_L944_); trivial.
% 20.37/20.54 (* end of lemma zenon_L945_ *)
% 20.37/20.54 assert (zenon_L946_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H325 zenon_H23b zenon_Hf zenon_H9 zenon_H277 zenon_H2e zenon_H1dd zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H265 zenon_H387.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.54 apply (zenon_L801_); trivial.
% 20.37/20.54 apply (zenon_L937_); trivial.
% 20.37/20.54 apply (zenon_L945_); trivial.
% 20.37/20.54 (* end of lemma zenon_L946_ *)
% 20.37/20.54 assert (zenon_L947_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H328 zenon_H23b zenon_Hf zenon_H9 zenon_H277 zenon_H2e zenon_H1dd zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H265 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.54 apply (zenon_L3_); trivial.
% 20.37/20.54 apply (zenon_L946_); trivial.
% 20.37/20.54 (* end of lemma zenon_L947_ *)
% 20.37/20.54 assert (zenon_L948_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H335 zenon_H423 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_H2e zenon_H277 zenon_H9 zenon_Hf zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H1dd zenon_H12f zenon_H132 zenon_H23b.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.54 apply (zenon_L928_); trivial.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.54 apply (zenon_L947_); trivial.
% 20.37/20.54 apply (zenon_L817_); trivial.
% 20.37/20.54 (* end of lemma zenon_L948_ *)
% 20.37/20.54 assert (zenon_L949_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.54 apply (zenon_L68_); trivial.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.54 apply (zenon_L123_); trivial.
% 20.37/20.54 apply (zenon_L799_); trivial.
% 20.37/20.54 (* end of lemma zenon_L949_ *)
% 20.37/20.54 assert (zenon_L950_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.54 apply (zenon_L764_); trivial.
% 20.37/20.54 apply (zenon_L949_); trivial.
% 20.37/20.54 (* end of lemma zenon_L950_ *)
% 20.37/20.54 assert (zenon_L951_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> (~(c1_1 (a1037))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H10c zenon_H10e zenon_H124 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.54 apply (zenon_L875_); trivial.
% 20.37/20.54 apply (zenon_L798_); trivial.
% 20.37/20.54 (* end of lemma zenon_L951_ *)
% 20.37/20.54 assert (zenon_L952_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.54 apply (zenon_L68_); trivial.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.54 apply (zenon_L310_); trivial.
% 20.37/20.54 apply (zenon_L951_); trivial.
% 20.37/20.54 (* end of lemma zenon_L952_ *)
% 20.37/20.54 assert (zenon_L953_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H22b zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H535 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.54 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.54 apply (zenon_L217_); trivial.
% 20.37/20.54 apply (zenon_L952_); trivial.
% 20.37/20.54 (* end of lemma zenon_L953_ *)
% 20.37/20.54 assert (zenon_L954_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.37/20.54 do 0 intro. intros zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H297 zenon_H296 zenon_H295 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H535 zenon_H533 zenon_H23c.
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.54 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.54 apply (zenon_L950_); trivial.
% 20.37/20.54 apply (zenon_L953_); trivial.
% 20.37/20.54 apply (zenon_L937_); trivial.
% 20.37/20.54 (* end of lemma zenon_L954_ *)
% 20.37/20.54 assert (zenon_L955_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H328 zenon_H23b zenon_H277 zenon_H23c zenon_H533 zenon_H535 zenon_H203 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.55 apply (zenon_L3_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.55 apply (zenon_L954_); trivial.
% 20.37/20.55 apply (zenon_L853_); trivial.
% 20.37/20.55 (* end of lemma zenon_L955_ *)
% 20.37/20.55 assert (zenon_L956_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H23a zenon_H53b zenon_H4e1 zenon_H51a zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H33e zenon_H273 zenon_Hfc zenon_H11c zenon_H358 zenon_H500 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_Hc9 zenon_H165 zenon_H166 zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H149 zenon_H1ec zenon_H1eb zenon_H297 zenon_H296 zenon_H295 zenon_H535 zenon_H533 zenon_H23c zenon_H277 zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.55 apply (zenon_L835_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.55 apply (zenon_L834_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.55 apply (zenon_L955_); trivial.
% 20.37/20.55 apply (zenon_L867_); trivial.
% 20.37/20.55 (* end of lemma zenon_L956_ *)
% 20.37/20.55 assert (zenon_L957_ : ((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H290 zenon_H2df zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H535 zenon_H533 zenon_H23c zenon_H40d zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48a zenon_H48c zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H23b zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H328 zenon_Hf zenon_H277 zenon_H2e zenon_H1eb zenon_H1ec zenon_H33e zenon_H273 zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H387 zenon_H6 zenon_H5 zenon_H51a zenon_H423 zenon_H335 zenon_H2b9 zenon_H53b.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.55 apply (zenon_L884_); trivial.
% 20.37/20.55 apply (zenon_L948_); trivial.
% 20.37/20.55 apply (zenon_L956_); trivial.
% 20.37/20.55 (* end of lemma zenon_L957_ *)
% 20.37/20.55 assert (zenon_L958_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.37/20.55 apply (zenon_L226_); trivial.
% 20.37/20.55 apply (zenon_L786_); trivial.
% 20.37/20.55 (* end of lemma zenon_L958_ *)
% 20.37/20.55 assert (zenon_L959_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H267 zenon_Hc zenon_H7a zenon_H2bb zenon_H2bc.
% 20.37/20.55 generalize (zenon_H267 (a1078)). zenon_intro zenon_H2c4.
% 20.37/20.55 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb | zenon_intro zenon_H2c5 ].
% 20.37/20.55 exact (zenon_Hb zenon_Hc).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2bf ].
% 20.37/20.55 generalize (zenon_H7a (a1078)). zenon_intro zenon_H576.
% 20.37/20.55 apply (zenon_imply_s _ _ zenon_H576); [ zenon_intro zenon_Hb | zenon_intro zenon_H577 ].
% 20.37/20.55 exact (zenon_Hb zenon_Hc).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2bf ].
% 20.37/20.55 exact (zenon_H2c3 zenon_H2c6).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ].
% 20.37/20.55 exact (zenon_H2bb zenon_H2c2).
% 20.37/20.55 exact (zenon_H2c1 zenon_H2bc).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ].
% 20.37/20.55 exact (zenon_H2bb zenon_H2c2).
% 20.37/20.55 exact (zenon_H2c1 zenon_H2bc).
% 20.37/20.55 (* end of lemma zenon_L959_ *)
% 20.37/20.55 assert (zenon_L960_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bc zenon_H2bb zenon_H7a zenon_Hc zenon_H2af zenon_H486 zenon_H2ad zenon_H2ae.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.55 apply (zenon_L244_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.55 apply (zenon_L959_); trivial.
% 20.37/20.55 apply (zenon_L788_); trivial.
% 20.37/20.55 (* end of lemma zenon_L960_ *)
% 20.37/20.55 assert (zenon_L961_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (ndr1_0) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H48c zenon_H2ae zenon_H2ad zenon_H2af zenon_Hc zenon_H2bb zenon_H2bc zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H78 zenon_H507 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H8f zenon_H1f1 zenon_H48a.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.55 apply (zenon_L861_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.55 exact (zenon_H78 zenon_H79).
% 20.37/20.55 apply (zenon_L960_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.55 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.55 exact (zenon_H48a zenon_H48b).
% 20.37/20.55 (* end of lemma zenon_L961_ *)
% 20.37/20.55 assert (zenon_L962_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H1f1 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bc zenon_H2bb zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a zenon_H338 zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.55 apply (zenon_L561_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H507 | zenon_intro zenon_H51b ].
% 20.37/20.55 apply (zenon_L961_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H51b); [ zenon_intro zenon_H50e | zenon_intro zenon_H4e2 ].
% 20.37/20.55 apply (zenon_L806_); trivial.
% 20.37/20.55 exact (zenon_H4e1 zenon_H4e2).
% 20.37/20.55 apply (zenon_L794_); trivial.
% 20.37/20.55 (* end of lemma zenon_L962_ *)
% 20.37/20.55 assert (zenon_L963_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H46d zenon_H463 zenon_H33e zenon_H338 zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H2bb zenon_H2bc zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_Ha3 zenon_H358.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.55 apply (zenon_L962_); trivial.
% 20.37/20.55 apply (zenon_L628_); trivial.
% 20.37/20.55 (* end of lemma zenon_L963_ *)
% 20.37/20.55 assert (zenon_L964_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H23b zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_Hc8 zenon_H1ec zenon_H219 zenon_H46d zenon_H463 zenon_H33e zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H387.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.55 apply (zenon_L777_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.55 apply (zenon_L958_); trivial.
% 20.37/20.55 apply (zenon_L963_); trivial.
% 20.37/20.55 apply (zenon_L807_); trivial.
% 20.37/20.55 apply (zenon_L816_); trivial.
% 20.37/20.55 (* end of lemma zenon_L964_ *)
% 20.37/20.55 assert (zenon_L965_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H33e zenon_H338 zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H2bb zenon_H2bc zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_Ha3 zenon_H358.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.55 apply (zenon_L962_); trivial.
% 20.37/20.55 apply (zenon_L631_); trivial.
% 20.37/20.55 (* end of lemma zenon_L965_ *)
% 20.37/20.55 assert (zenon_L966_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H33e zenon_H338 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.55 apply (zenon_L777_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.55 apply (zenon_L958_); trivial.
% 20.37/20.55 apply (zenon_L965_); trivial.
% 20.37/20.55 (* end of lemma zenon_L966_ *)
% 20.37/20.55 assert (zenon_L967_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H332 zenon_H47b zenon_H215 zenon_H212 zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H4c2 zenon_H423 zenon_H51a zenon_H33e zenon_H46d zenon_H219 zenon_H1ec zenon_Hc8 zenon_H132 zenon_H12f zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H23b.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.37/20.55 apply (zenon_L964_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.55 apply (zenon_L966_); trivial.
% 20.37/20.55 apply (zenon_L807_); trivial.
% 20.37/20.55 apply (zenon_L816_); trivial.
% 20.37/20.55 (* end of lemma zenon_L967_ *)
% 20.37/20.55 assert (zenon_L968_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H335 zenon_H47b zenon_H215 zenon_H212 zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H423 zenon_H51a zenon_H33e zenon_H46d zenon_H219 zenon_H1ec zenon_Hc8 zenon_H132 zenon_H12f zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_H1dd zenon_H23b zenon_H5 zenon_H6 zenon_H328 zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.55 apply (zenon_L763_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.55 apply (zenon_L393_); trivial.
% 20.37/20.55 apply (zenon_L967_); trivial.
% 20.37/20.55 (* end of lemma zenon_L968_ *)
% 20.37/20.55 assert (zenon_L969_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H1ed zenon_Ha3 zenon_H156 zenon_H158 zenon_H157 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.37/20.55 apply (zenon_L226_); trivial.
% 20.37/20.55 apply (zenon_L858_); trivial.
% 20.37/20.55 (* end of lemma zenon_L969_ *)
% 20.37/20.55 assert (zenon_L970_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (c2_1 (a1078)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1078))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H155 zenon_Hc zenon_H2bc zenon_H267 zenon_H2bb.
% 20.37/20.55 generalize (zenon_H155 (a1078)). zenon_intro zenon_H578.
% 20.37/20.55 apply (zenon_imply_s _ _ zenon_H578); [ zenon_intro zenon_Hb | zenon_intro zenon_H579 ].
% 20.37/20.55 exact (zenon_Hb zenon_Hc).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H579); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H57a ].
% 20.37/20.55 exact (zenon_H2c1 zenon_H2bc).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c2 ].
% 20.37/20.55 apply (zenon_L231_); trivial.
% 20.37/20.55 exact (zenon_H2bb zenon_H2c2).
% 20.37/20.55 (* end of lemma zenon_L970_ *)
% 20.37/20.55 assert (zenon_L971_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H2bb zenon_H2bc zenon_H155 zenon_Hc zenon_H2af zenon_H486 zenon_H2ad zenon_H2ae.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.55 apply (zenon_L201_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.55 apply (zenon_L970_); trivial.
% 20.37/20.55 apply (zenon_L788_); trivial.
% 20.37/20.55 (* end of lemma zenon_L971_ *)
% 20.37/20.55 assert (zenon_L972_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (c0_1 (a1089)) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c0_1 (a1091))) -> (ndr1_0) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp57)) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4fc zenon_H4ed zenon_H2ae zenon_H2ad zenon_H486 zenon_H2af zenon_Hc zenon_H2bc zenon_H2bb zenon_H8c zenon_Ha6 zenon_Ha7 zenon_Ha5 zenon_H273 zenon_H15f.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.55 apply (zenon_L781_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.55 apply (zenon_L971_); trivial.
% 20.37/20.55 exact (zenon_H15f zenon_H160).
% 20.37/20.55 (* end of lemma zenon_L972_ *)
% 20.37/20.55 assert (zenon_L973_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H277 zenon_H275 zenon_H500 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H157 zenon_H158 zenon_H156 zenon_H1f1 zenon_H48a zenon_H48c zenon_H183 zenon_H93 zenon_H8f zenon_H8c zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.55 apply (zenon_L39_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.55 apply (zenon_L244_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.55 apply (zenon_L846_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.55 apply (zenon_L847_); trivial.
% 20.37/20.55 apply (zenon_L972_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.55 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.55 exact (zenon_H48a zenon_H48b).
% 20.37/20.55 exact (zenon_H275 zenon_H276).
% 20.37/20.55 apply (zenon_L89_); trivial.
% 20.37/20.55 apply (zenon_L308_); trivial.
% 20.37/20.55 (* end of lemma zenon_L973_ *)
% 20.37/20.55 assert (zenon_L974_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H1bc zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.55 apply (zenon_L764_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.55 apply (zenon_L68_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.55 apply (zenon_L228_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.55 apply (zenon_L969_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.55 apply (zenon_L973_); trivial.
% 20.37/20.55 apply (zenon_L576_); trivial.
% 20.37/20.55 (* end of lemma zenon_L974_ *)
% 20.37/20.55 assert (zenon_L975_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H23c zenon_H121 zenon_H11c zenon_Hfc zenon_H436 zenon_H433 zenon_H435 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H277 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.55 apply (zenon_L974_); trivial.
% 20.37/20.55 apply (zenon_L578_); trivial.
% 20.37/20.55 (* end of lemma zenon_L975_ *)
% 20.37/20.55 assert (zenon_L976_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H387 zenon_H1ed zenon_Ha3 zenon_H156 zenon_H158 zenon_H157 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H33e zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H358 zenon_H1ec.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.55 apply (zenon_L969_); trivial.
% 20.37/20.55 apply (zenon_L864_); trivial.
% 20.37/20.55 apply (zenon_L807_); trivial.
% 20.37/20.55 (* end of lemma zenon_L976_ *)
% 20.37/20.55 assert (zenon_L977_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_H1ec zenon_H358 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H387.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.55 apply (zenon_L976_); trivial.
% 20.37/20.55 apply (zenon_L816_); trivial.
% 20.37/20.55 (* end of lemma zenon_L977_ *)
% 20.37/20.55 assert (zenon_L978_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H1dd zenon_H1ec zenon_H358 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H387 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H328.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.55 apply (zenon_L855_); trivial.
% 20.37/20.55 apply (zenon_L977_); trivial.
% 20.37/20.55 (* end of lemma zenon_L978_ *)
% 20.37/20.55 assert (zenon_L979_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(hskp53)) -> (ndr1_0) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H183 zenon_H8f zenon_H63 zenon_H64 zenon_H65 zenon_H78 zenon_Hc zenon_H349 zenon_H34a zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_Ha5 zenon_Ha6 zenon_Ha7 zenon_H8c zenon_H166 zenon_H1f1 zenon_H48a zenon_H48c.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.55 apply (zenon_L480_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.55 apply (zenon_L971_); trivial.
% 20.37/20.55 exact (zenon_H15f zenon_H160).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.55 exact (zenon_H78 zenon_H79).
% 20.37/20.55 apply (zenon_L960_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.55 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.55 exact (zenon_H48a zenon_H48b).
% 20.37/20.55 apply (zenon_L89_); trivial.
% 20.37/20.55 (* end of lemma zenon_L979_ *)
% 20.37/20.55 assert (zenon_L980_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_Ha7 zenon_Ha6 zenon_Ha5 zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H65 zenon_H64 zenon_H63 zenon_H8f zenon_H183.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.55 apply (zenon_L979_); trivial.
% 20.37/20.55 apply (zenon_L794_); trivial.
% 20.37/20.55 (* end of lemma zenon_L980_ *)
% 20.37/20.55 assert (zenon_L981_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_Hc5 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H183 zenon_H338 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e zenon_H93 zenon_H8f zenon_H8c zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.55 apply (zenon_L39_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.55 apply (zenon_L561_); trivial.
% 20.37/20.55 apply (zenon_L980_); trivial.
% 20.37/20.55 (* end of lemma zenon_L981_ *)
% 20.37/20.55 assert (zenon_L982_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H8f zenon_H93 zenon_H33e zenon_H338 zenon_H183 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_H166 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_Hc5.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.55 apply (zenon_L981_); trivial.
% 20.37/20.55 apply (zenon_L576_); trivial.
% 20.37/20.55 (* end of lemma zenon_L982_ *)
% 20.37/20.55 assert (zenon_L983_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_Hc4 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.55 apply (zenon_L958_); trivial.
% 20.37/20.55 apply (zenon_L982_); trivial.
% 20.37/20.55 (* end of lemma zenon_L983_ *)
% 20.37/20.55 assert (zenon_L984_ : ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H12f zenon_Hc8 zenon_H1ec zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H500 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H3b zenon_H39 zenon_H4ef zenon_H4f0 zenon_H4ed zenon_Hc zenon_H47 zenon_H4c zenon_H5b.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.55 apply (zenon_L870_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.55 apply (zenon_L310_); trivial.
% 20.37/20.55 apply (zenon_L983_); trivial.
% 20.37/20.55 (* end of lemma zenon_L984_ *)
% 20.37/20.55 assert (zenon_L985_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H183 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_H8f zenon_H63 zenon_H64 zenon_H65 zenon_H78 zenon_H273 zenon_H140 zenon_H141 zenon_H142 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_Ha5 zenon_Ha6 zenon_Ha7 zenon_H8c zenon_H166 zenon_H1f1 zenon_H48a zenon_H48c zenon_H285.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.55 apply (zenon_L531_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.55 apply (zenon_L836_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.55 apply (zenon_L971_); trivial.
% 20.37/20.55 exact (zenon_H15f zenon_H160).
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.55 exact (zenon_H78 zenon_H79).
% 20.37/20.55 apply (zenon_L792_); trivial.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.55 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.55 exact (zenon_H48a zenon_H48b).
% 20.37/20.55 apply (zenon_L89_); trivial.
% 20.37/20.55 (* end of lemma zenon_L985_ *)
% 20.37/20.55 assert (zenon_L986_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H93 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_H48a zenon_H48c zenon_H285 zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_Hc5 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.55 apply (zenon_L787_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.55 apply (zenon_L39_); trivial.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.55 apply (zenon_L985_); trivial.
% 20.37/20.55 apply (zenon_L308_); trivial.
% 20.37/20.55 apply (zenon_L576_); trivial.
% 20.37/20.55 (* end of lemma zenon_L986_ *)
% 20.37/20.55 assert (zenon_L987_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.55 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H6c zenon_H93 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_H48a zenon_H48c zenon_H285 zenon_Hc5 zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535 zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.55 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.56 apply (zenon_L68_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.56 apply (zenon_L310_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.56 apply (zenon_L875_); trivial.
% 20.37/20.56 apply (zenon_L986_); trivial.
% 20.37/20.56 (* end of lemma zenon_L987_ *)
% 20.37/20.56 assert (zenon_L988_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c1_1 (a1101)) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H37c zenon_H23c zenon_H1eb zenon_H265 zenon_H285 zenon_H533 zenon_H535 zenon_H5b zenon_H39 zenon_H3b zenon_H450 zenon_H451 zenon_H452 zenon_Hc0 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H277 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.56 apply (zenon_L974_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.56 apply (zenon_L873_); trivial.
% 20.37/20.56 apply (zenon_L987_); trivial.
% 20.37/20.56 (* end of lemma zenon_L988_ *)
% 20.37/20.56 assert (zenon_L989_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp57)) -> (ndr1_0) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c1_1 (a1053))) -> (c0_1 (a1053)) -> (~(c2_1 (a1053))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H165 zenon_H15f zenon_Hc zenon_H230 zenon_H22e zenon_H22f zenon_H3c zenon_H3e zenon_H3d zenon_H166 zenon_H161 zenon_H163.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.56 apply (zenon_L78_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.56 apply (zenon_L473_); trivial.
% 20.37/20.56 exact (zenon_H15f zenon_H160).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.37/20.56 exact (zenon_H161 zenon_H162).
% 20.37/20.56 exact (zenon_H163 zenon_H164).
% 20.37/20.56 (* end of lemma zenon_L989_ *)
% 20.37/20.56 assert (zenon_L990_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c2_1 (a1053))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (ndr1_0) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H3d zenon_H3e zenon_H3c zenon_Hc zenon_H161 zenon_H163 zenon_H165.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_L989_); trivial.
% 20.37/20.56 apply (zenon_L89_); trivial.
% 20.37/20.56 (* end of lemma zenon_L990_ *)
% 20.37/20.56 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c2_1 (a1053))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H3d zenon_H3e zenon_H3c zenon_H161 zenon_H163 zenon_H165.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_L989_); trivial.
% 20.37/20.56 apply (zenon_L91_); trivial.
% 20.37/20.56 (* end of lemma zenon_L991_ *)
% 20.37/20.56 assert (zenon_L992_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H5a zenon_Ha3 zenon_H165 zenon_H163 zenon_H161 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.56 apply (zenon_L990_); trivial.
% 20.37/20.56 apply (zenon_L991_); trivial.
% 20.37/20.56 (* end of lemma zenon_L992_ *)
% 20.37/20.56 assert (zenon_L993_ : ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1052)) -> (c3_1 (a1052)) -> (c2_1 (a1052)) -> (~(hskp53)) -> (ndr1_0) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H8f zenon_H186 zenon_H185 zenon_H184 zenon_H78 zenon_Hc zenon_H22e zenon_H22f zenon_H230.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.56 apply (zenon_L94_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.56 exact (zenon_H78 zenon_H79).
% 20.37/20.56 apply (zenon_L158_); trivial.
% 20.37/20.56 (* end of lemma zenon_L993_ *)
% 20.37/20.56 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H19b zenon_Ha3 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Hc. zenon_intro zenon_H19c.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H19d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H185. zenon_intro zenon_H184.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.56 apply (zenon_L993_); trivial.
% 20.37/20.56 apply (zenon_L99_); trivial.
% 20.37/20.56 (* end of lemma zenon_L994_ *)
% 20.37/20.56 assert (zenon_L995_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H161 zenon_H165 zenon_Ha3 zenon_Hc9.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.37/20.56 apply (zenon_L14_); trivial.
% 20.37/20.56 apply (zenon_L992_); trivial.
% 20.37/20.56 apply (zenon_L994_); trivial.
% 20.37/20.56 (* end of lemma zenon_L995_ *)
% 20.37/20.56 assert (zenon_L996_ : (forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83))))) -> (ndr1_0) -> (c2_1 (a1086)) -> (c3_1 (a1086)) -> (~(c0_1 (a1086))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H1a9 zenon_Hc zenon_H27a zenon_H27b zenon_H279.
% 20.37/20.56 generalize (zenon_H1a9 (a1086)). zenon_intro zenon_H57b.
% 20.37/20.56 apply (zenon_imply_s _ _ zenon_H57b); [ zenon_intro zenon_Hb | zenon_intro zenon_H57c ].
% 20.37/20.56 exact (zenon_Hb zenon_Hc).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H281 | zenon_intro zenon_H57d ].
% 20.37/20.56 exact (zenon_H281 zenon_H27a).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H57d); [ zenon_intro zenon_H280 | zenon_intro zenon_H27f ].
% 20.37/20.56 exact (zenon_H280 zenon_H27b).
% 20.37/20.56 exact (zenon_H279 zenon_H27f).
% 20.37/20.56 (* end of lemma zenon_L996_ *)
% 20.37/20.56 assert (zenon_L997_ : ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1086))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1051))) -> (ndr1_0) -> (~(hskp35)) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H1c8 zenon_H279 zenon_H27b zenon_H27a zenon_H1b7 zenon_H1ad zenon_H14c zenon_H1af zenon_Hc zenon_H1bc.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.37/20.56 apply (zenon_L996_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.37/20.56 apply (zenon_L105_); trivial.
% 20.37/20.56 exact (zenon_H1bc zenon_H1bd).
% 20.37/20.56 (* end of lemma zenon_L997_ *)
% 20.37/20.56 assert (zenon_L998_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(hskp57)) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H282 zenon_H166 zenon_H1bc zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1c8 zenon_H22f zenon_H22e zenon_H230 zenon_H15f.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.56 apply (zenon_L997_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.56 apply (zenon_L473_); trivial.
% 20.37/20.56 exact (zenon_H15f zenon_H160).
% 20.37/20.56 (* end of lemma zenon_L998_ *)
% 20.37/20.56 assert (zenon_L999_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp57)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (~(hskp36)) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H285 zenon_H166 zenon_H15f zenon_H22f zenon_H22e zenon_H230 zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_Hc0 zenon_H451 zenon_Hae zenon_H452 zenon_H450 zenon_Hc zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.56 apply (zenon_L610_); trivial.
% 20.37/20.56 apply (zenon_L998_); trivial.
% 20.37/20.56 (* end of lemma zenon_L999_ *)
% 20.37/20.56 assert (zenon_L1000_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(hskp36)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H450 zenon_H452 zenon_Hae zenon_H451 zenon_Hc0 zenon_H1c8 zenon_H1bc zenon_H1b7 zenon_H1ad zenon_H1af zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H285.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_L999_); trivial.
% 20.37/20.56 apply (zenon_L89_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1000_ *)
% 20.37/20.56 assert (zenon_L1001_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(hskp36)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H450 zenon_H452 zenon_Hae zenon_H451 zenon_Hc0 zenon_H1c8 zenon_H1bc zenon_H285 zenon_H1cf.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.37/20.56 apply (zenon_L995_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.56 apply (zenon_L1000_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_L999_); trivial.
% 20.37/20.56 apply (zenon_L91_); trivial.
% 20.37/20.56 apply (zenon_L871_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1001_ *)
% 20.37/20.56 assert (zenon_L1002_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1dd zenon_H47 zenon_H4c zenon_H1cf zenon_H285 zenon_H1bc zenon_H1c8 zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.56 apply (zenon_L1001_); trivial.
% 20.37/20.56 apply (zenon_L852_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1002_ *)
% 20.37/20.56 assert (zenon_L1003_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (ndr1_0) -> (c0_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H1d8 zenon_Hc zenon_H321 zenon_H22e zenon_H22f.
% 20.37/20.56 generalize (zenon_H1d8 (a1031)). zenon_intro zenon_H57e.
% 20.37/20.56 apply (zenon_imply_s _ _ zenon_H57e); [ zenon_intro zenon_Hb | zenon_intro zenon_H57f ].
% 20.37/20.56 exact (zenon_Hb zenon_Hc).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H31d | zenon_intro zenon_H3ef ].
% 20.37/20.56 exact (zenon_H31d zenon_H321).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H234 | zenon_intro zenon_H236 ].
% 20.37/20.56 exact (zenon_H234 zenon_H22e).
% 20.37/20.56 exact (zenon_H22f zenon_H236).
% 20.37/20.56 (* end of lemma zenon_L1003_ *)
% 20.37/20.56 assert (zenon_L1004_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1031)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H230 zenon_H1d8 zenon_H22e zenon_H22f.
% 20.37/20.56 generalize (zenon_H4e9 (a1031)). zenon_intro zenon_H56d.
% 20.37/20.56 apply (zenon_imply_s _ _ zenon_H56d); [ zenon_intro zenon_Hb | zenon_intro zenon_H56e ].
% 20.37/20.56 exact (zenon_Hb zenon_Hc).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H56e); [ zenon_intro zenon_H235 | zenon_intro zenon_H56f ].
% 20.37/20.56 exact (zenon_H235 zenon_H230).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H56f); [ zenon_intro zenon_H321 | zenon_intro zenon_H236 ].
% 20.37/20.56 apply (zenon_L1003_); trivial.
% 20.37/20.56 exact (zenon_H22f zenon_H236).
% 20.37/20.56 (* end of lemma zenon_L1004_ *)
% 20.37/20.56 assert (zenon_L1005_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1053)) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H14c zenon_Hc zenon_H3e zenon_H4fc zenon_H3c zenon_H3d.
% 20.37/20.56 generalize (zenon_H14c (a1053)). zenon_intro zenon_H151.
% 20.37/20.56 apply (zenon_imply_s _ _ zenon_H151); [ zenon_intro zenon_Hb | zenon_intro zenon_H152 ].
% 20.37/20.56 exact (zenon_Hb zenon_Hc).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H153 ].
% 20.37/20.56 exact (zenon_H44 zenon_H3e).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H154 | zenon_intro zenon_H46 ].
% 20.37/20.56 generalize (zenon_H4fc (a1053)). zenon_intro zenon_H580.
% 20.37/20.56 apply (zenon_imply_s _ _ zenon_H580); [ zenon_intro zenon_Hb | zenon_intro zenon_H581 ].
% 20.37/20.56 exact (zenon_Hb zenon_Hc).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_H150 | zenon_intro zenon_H582 ].
% 20.37/20.56 exact (zenon_H154 zenon_H150).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H582); [ zenon_intro zenon_H45 | zenon_intro zenon_H46 ].
% 20.37/20.56 exact (zenon_H3c zenon_H45).
% 20.37/20.56 exact (zenon_H3d zenon_H46).
% 20.37/20.56 exact (zenon_H3d zenon_H46).
% 20.37/20.56 (* end of lemma zenon_L1005_ *)
% 20.37/20.56 assert (zenon_L1006_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (c0_1 (a1053)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H500 zenon_H1d8 zenon_H25 zenon_H23 zenon_H24 zenon_H166 zenon_H3d zenon_H3c zenon_H3e zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.56 apply (zenon_L1004_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.56 apply (zenon_L940_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.56 apply (zenon_L1005_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.56 apply (zenon_L473_); trivial.
% 20.37/20.56 exact (zenon_H15f zenon_H160).
% 20.37/20.56 (* end of lemma zenon_L1006_ *)
% 20.37/20.56 assert (zenon_L1007_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp47)) -> (~(hskp54)) -> (~(hskp38)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H1f zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_H60 zenon_H5e zenon_H2f zenon_H500 zenon_H3e zenon_H3c zenon_H3d zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H1dd.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.37/20.56 apply (zenon_L145_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.37/20.56 exact (zenon_H2f zenon_H30).
% 20.37/20.56 apply (zenon_L1006_); trivial.
% 20.37/20.56 apply (zenon_L89_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1007_ *)
% 20.37/20.56 assert (zenon_L1008_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1073)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp56)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H183 zenon_H8c zenon_H96 zenon_H95 zenon_H94 zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_Hd zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_L475_); trivial.
% 20.37/20.56 apply (zenon_L91_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1008_ *)
% 20.37/20.56 assert (zenon_L1009_ : ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Hc9 zenon_Hc5 zenon_Hc0 zenon_Ha3 zenon_H2e zenon_H223 zenon_H21c zenon_H21a zenon_H500 zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hae zenon_Hdc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H2f zenon_H31 zenon_H33.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.37/20.56 apply (zenon_L14_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.37/20.56 apply (zenon_L476_); trivial.
% 20.37/20.56 apply (zenon_L1007_); trivial.
% 20.37/20.56 apply (zenon_L33_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.37/20.56 apply (zenon_L1008_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.37/20.56 apply (zenon_L603_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.37/20.56 exact (zenon_H2f zenon_H30).
% 20.37/20.56 apply (zenon_L1006_); trivial.
% 20.37/20.56 apply (zenon_L91_); trivial.
% 20.37/20.56 apply (zenon_L37_); trivial.
% 20.37/20.56 apply (zenon_L263_); trivial.
% 20.37/20.56 apply (zenon_L45_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1009_ *)
% 20.37/20.56 assert (zenon_L1010_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Hc8 zenon_H452 zenon_H451 zenon_H450 zenon_H33 zenon_H31 zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f9 zenon_H307 zenon_H1dd zenon_H500 zenon_H21a zenon_H21c zenon_H223 zenon_H2e zenon_Ha3 zenon_Hc0 zenon_Hc5 zenon_Hc9.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.56 apply (zenon_L1009_); trivial.
% 20.37/20.56 apply (zenon_L871_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1010_ *)
% 20.37/20.56 assert (zenon_L1011_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H2e zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H1c8 zenon_H285 zenon_H1cf zenon_H1dd zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H277 zenon_H156 zenon_H158 zenon_H157 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H212 zenon_H215 zenon_H219 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.56 apply (zenon_L808_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.56 apply (zenon_L1002_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.56 apply (zenon_L1010_); trivial.
% 20.37/20.56 apply (zenon_L852_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1011_ *)
% 20.37/20.56 assert (zenon_L1012_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H484 zenon_H1eb zenon_H265 zenon_H285 zenon_H533 zenon_H535 zenon_Hc0 zenon_H5b zenon_H39 zenon_H3b zenon_H319 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_H47b zenon_H387 zenon_H4e1 zenon_H4e3 zenon_H358 zenon_H51a zenon_H33e zenon_H46d zenon_H23c zenon_H121 zenon_H11c zenon_Hfc zenon_H435 zenon_H1ec zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H500 zenon_H277 zenon_H273 zenon_H48a zenon_H48c zenon_H485 zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.56 apply (zenon_L834_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.56 apply (zenon_L3_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.56 apply (zenon_L975_); trivial.
% 20.37/20.56 apply (zenon_L853_); trivial.
% 20.37/20.56 apply (zenon_L967_); trivial.
% 20.37/20.56 apply (zenon_L978_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.56 apply (zenon_L3_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.56 apply (zenon_L984_); trivial.
% 20.37/20.56 apply (zenon_L988_); trivial.
% 20.37/20.56 apply (zenon_L1011_); trivial.
% 20.37/20.56 apply (zenon_L977_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1012_ *)
% 20.37/20.56 assert (zenon_L1013_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H23a zenon_H53b zenon_H484 zenon_H1eb zenon_H265 zenon_H285 zenon_H533 zenon_H535 zenon_Hc0 zenon_H5b zenon_H39 zenon_H3b zenon_H319 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_H47b zenon_H387 zenon_H4e1 zenon_H4e3 zenon_H358 zenon_H51a zenon_H33e zenon_H46d zenon_H23c zenon_H121 zenon_H11c zenon_Hfc zenon_H435 zenon_H1ec zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H500 zenon_H277 zenon_H273 zenon_H485 zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.56 apply (zenon_L835_); trivial.
% 20.37/20.56 apply (zenon_L1012_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1013_ *)
% 20.37/20.56 assert (zenon_L1014_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H53b zenon_H2b9 zenon_H335 zenon_H47b zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H273 zenon_H423 zenon_H51a zenon_H33e zenon_H46d zenon_H1ec zenon_Hc8 zenon_H1dd zenon_H23b zenon_H5 zenon_H6 zenon_H328 zenon_Ha3 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_H48c zenon_H48a zenon_H240 zenon_H241 zenon_H242 zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.56 apply (zenon_L884_); trivial.
% 20.37/20.56 apply (zenon_L968_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1014_ *)
% 20.37/20.56 assert (zenon_L1015_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bb zenon_H2bc zenon_H155 zenon_Hc zenon_H242 zenon_H486 zenon_H240 zenon_H241.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.56 apply (zenon_L244_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.56 apply (zenon_L970_); trivial.
% 20.37/20.56 apply (zenon_L890_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1015_ *)
% 20.37/20.56 assert (zenon_L1016_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Hc4 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H48c zenon_H48a zenon_H156 zenon_H158 zenon_H157 zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.56 apply (zenon_L958_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.56 apply (zenon_L244_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.56 apply (zenon_L846_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.56 apply (zenon_L847_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.56 apply (zenon_L781_); trivial.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.56 apply (zenon_L1015_); trivial.
% 20.37/20.56 exact (zenon_H15f zenon_H160).
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.56 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.56 exact (zenon_H48a zenon_H48b).
% 20.37/20.56 exact (zenon_H275 zenon_H276).
% 20.37/20.56 apply (zenon_L89_); trivial.
% 20.37/20.56 apply (zenon_L308_); trivial.
% 20.37/20.56 apply (zenon_L576_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1016_ *)
% 20.37/20.56 assert (zenon_L1017_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1ec zenon_H48c zenon_H48a zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H275 zenon_H277 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.56 apply (zenon_L68_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.56 apply (zenon_L310_); trivial.
% 20.37/20.56 apply (zenon_L1016_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1017_ *)
% 20.37/20.56 assert (zenon_L1018_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H1ec zenon_H48c zenon_H48a zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H277 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.56 apply (zenon_L764_); trivial.
% 20.37/20.56 apply (zenon_L1017_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1018_ *)
% 20.37/20.56 assert (zenon_L1019_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H328 zenon_H23b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H1ed zenon_H1c7 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H277 zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H48a zenon_H48c zenon_H1ec zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.56 apply (zenon_L3_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.56 apply (zenon_L1018_); trivial.
% 20.37/20.56 apply (zenon_L853_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1019_ *)
% 20.37/20.56 assert (zenon_L1020_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H23a zenon_H53b zenon_H358 zenon_H4e1 zenon_H51a zenon_H33e zenon_H387 zenon_H1ec zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H277 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.56 apply (zenon_L835_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.56 apply (zenon_L1019_); trivial.
% 20.37/20.56 apply (zenon_L977_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1020_ *)
% 20.37/20.56 assert (zenon_L1021_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.56 apply (zenon_L777_); trivial.
% 20.37/20.56 apply (zenon_L247_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1021_ *)
% 20.37/20.56 assert (zenon_L1022_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H37c zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.56 apply (zenon_L531_); trivial.
% 20.37/20.56 apply (zenon_L237_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1022_ *)
% 20.37/20.56 assert (zenon_L1023_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.56 apply (zenon_L808_); trivial.
% 20.37/20.56 apply (zenon_L1022_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1023_ *)
% 20.37/20.56 assert (zenon_L1024_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.56 apply (zenon_L777_); trivial.
% 20.37/20.56 apply (zenon_L276_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1024_ *)
% 20.37/20.56 assert (zenon_L1025_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1039)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c2 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H8c zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.56 apply (zenon_L1024_); trivial.
% 20.37/20.56 apply (zenon_L816_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1025_ *)
% 20.37/20.56 assert (zenon_L1026_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.56 do 0 intro. intros zenon_H2d8 zenon_H335 zenon_H1dd zenon_H5 zenon_H6 zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H132 zenon_H12f zenon_H358 zenon_H166 zenon_H183 zenon_H33e zenon_H47 zenon_H4c zenon_H4c2 zenon_H2ab zenon_H265 zenon_H285 zenon_H387 zenon_H23b zenon_H328.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.56 apply (zenon_L3_); trivial.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.56 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.56 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.56 apply (zenon_L1021_); trivial.
% 20.37/20.56 apply (zenon_L1023_); trivial.
% 20.37/20.56 apply (zenon_L1025_); trivial.
% 20.37/20.56 (* end of lemma zenon_L1026_ *)
% 20.37/20.56 assert (zenon_L1027_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.57 apply (zenon_L777_); trivial.
% 20.37/20.57 apply (zenon_L983_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1027_ *)
% 20.37/20.57 assert (zenon_L1028_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (c1_1 (a1039)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H387 zenon_H132 zenon_H12f zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H4c2 zenon_H275 zenon_H2ab zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_Hc5 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.57 apply (zenon_L1027_); trivial.
% 20.37/20.57 apply (zenon_L937_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1028_ *)
% 20.37/20.57 assert (zenon_L1029_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H335 zenon_H47b zenon_H423 zenon_H51a zenon_H46d zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H2e zenon_H277 zenon_H9 zenon_Hf zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H1dd zenon_H12f zenon_H132 zenon_H23b.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.57 apply (zenon_L928_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.57 apply (zenon_L3_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_L1028_); trivial.
% 20.37/20.57 apply (zenon_L945_); trivial.
% 20.37/20.57 apply (zenon_L967_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1029_ *)
% 20.37/20.57 assert (zenon_L1030_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H387 zenon_H132 zenon_H265 zenon_H296 zenon_H295 zenon_H297 zenon_H56b zenon_H285 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H5b zenon_H4c zenon_H47 zenon_Hc zenon_H4ed zenon_H4f0 zenon_H4ef zenon_H39 zenon_H3b zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H1ed zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_Hc5 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H93 zenon_H6c zenon_H1ec zenon_Hc8 zenon_H12f.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.57 apply (zenon_L984_); trivial.
% 20.37/20.57 apply (zenon_L937_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1030_ *)
% 20.37/20.57 assert (zenon_L1031_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H23a zenon_H53b zenon_H335 zenon_H47b zenon_H4e1 zenon_H4e3 zenon_H423 zenon_H51a zenon_H46d zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H203 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H273 zenon_H33e zenon_H1ec zenon_H277 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.57 apply (zenon_L926_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.57 apply (zenon_L925_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.57 apply (zenon_L3_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_L1030_); trivial.
% 20.37/20.57 apply (zenon_L853_); trivial.
% 20.37/20.57 apply (zenon_L967_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1031_ *)
% 20.37/20.57 assert (zenon_L1032_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1071)) -> (c0_1 (a1071)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c0_1 (a1082))) -> (ndr1_0) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp57)) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H166 zenon_H34a zenon_H349 zenon_H6e zenon_H241 zenon_H240 zenon_H486 zenon_H242 zenon_Hc zenon_H2bc zenon_H2bb zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H15f.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.57 apply (zenon_L480_); trivial.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.57 apply (zenon_L1015_); trivial.
% 20.37/20.57 exact (zenon_H15f zenon_H160).
% 20.37/20.57 (* end of lemma zenon_L1032_ *)
% 20.37/20.57 assert (zenon_L1033_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bc zenon_H2bb zenon_H7a zenon_Hc zenon_H242 zenon_H486 zenon_H240 zenon_H241.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.57 apply (zenon_L244_); trivial.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.57 apply (zenon_L959_); trivial.
% 20.37/20.57 apply (zenon_L890_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1033_ *)
% 20.37/20.57 assert (zenon_L1034_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (ndr1_0) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_Hc zenon_H349 zenon_H34a zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H2bb zenon_H2bc zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H1f1 zenon_H48a zenon_H48c.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.37/20.57 apply (zenon_L1032_); trivial.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.37/20.57 exact (zenon_H78 zenon_H79).
% 20.37/20.57 apply (zenon_L1033_); trivial.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.37/20.57 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.57 exact (zenon_H48a zenon_H48b).
% 20.37/20.57 apply (zenon_L89_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1034_ *)
% 20.37/20.57 assert (zenon_L1035_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H2bc zenon_H2bb zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H8f zenon_H183 zenon_H338 zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.57 apply (zenon_L561_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.57 apply (zenon_L1034_); trivial.
% 20.37/20.57 apply (zenon_L794_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1035_ *)
% 20.37/20.57 assert (zenon_L1036_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H183 zenon_H8f zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H2bb zenon_H2bc zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_Ha3 zenon_H358.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.57 apply (zenon_L1035_); trivial.
% 20.37/20.57 apply (zenon_L576_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1036_ *)
% 20.37/20.57 assert (zenon_L1037_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.57 apply (zenon_L777_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.57 apply (zenon_L958_); trivial.
% 20.37/20.57 apply (zenon_L1036_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1037_ *)
% 20.37/20.57 assert (zenon_L1038_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H53b zenon_H2b9 zenon_H335 zenon_H47b zenon_H423 zenon_H51a zenon_H46d zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H273 zenon_H33e zenon_H1ec zenon_H2e zenon_H277 zenon_H9 zenon_Hf zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H23b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_H48c zenon_H48a zenon_H240 zenon_H241 zenon_H242 zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.57 apply (zenon_L884_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.57 apply (zenon_L928_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.57 apply (zenon_L3_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.57 apply (zenon_L1037_); trivial.
% 20.37/20.57 apply (zenon_L937_); trivial.
% 20.37/20.57 apply (zenon_L945_); trivial.
% 20.37/20.57 apply (zenon_L967_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1038_ *)
% 20.37/20.57 assert (zenon_L1039_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H56b zenon_H293 zenon_H53b zenon_H335 zenon_H47b zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H273 zenon_H423 zenon_H51a zenon_H33e zenon_H46d zenon_H1ec zenon_Hc8 zenon_H1dd zenon_H23b zenon_H5 zenon_H6 zenon_H328 zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_Ha3 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H2b9 zenon_H203 zenon_H40d zenon_H485 zenon_H277 zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H435 zenon_H121 zenon_H23c zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H3b zenon_H5b zenon_Hc0 zenon_H535 zenon_H533 zenon_H285 zenon_H265 zenon_H1eb zenon_H484 zenon_H2df zenon_H2e0.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.57 apply (zenon_L772_); trivial.
% 20.37/20.57 apply (zenon_L968_); trivial.
% 20.37/20.57 apply (zenon_L1013_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.57 apply (zenon_L1014_); trivial.
% 20.37/20.57 apply (zenon_L1020_); trivial.
% 20.37/20.57 apply (zenon_L1026_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.57 apply (zenon_L926_); trivial.
% 20.37/20.57 apply (zenon_L1029_); trivial.
% 20.37/20.57 apply (zenon_L1031_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.57 apply (zenon_L1038_); trivial.
% 20.37/20.57 apply (zenon_L1020_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1039_ *)
% 20.37/20.57 assert (zenon_L1040_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_L251_); trivial.
% 20.37/20.57 apply (zenon_L832_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1040_ *)
% 20.37/20.57 assert (zenon_L1041_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1dd zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.57 apply (zenon_L1040_); trivial.
% 20.37/20.57 apply (zenon_L771_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1041_ *)
% 20.37/20.57 assert (zenon_L1042_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_H11c zenon_Hfc zenon_Hf zenon_H9 zenon_H277 zenon_H275 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2e zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.57 apply (zenon_L643_); trivial.
% 20.37/20.57 apply (zenon_L944_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1042_ *)
% 20.37/20.57 assert (zenon_L1043_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_L251_); trivial.
% 20.37/20.57 apply (zenon_L816_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1043_ *)
% 20.37/20.57 assert (zenon_L1044_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H2ab zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H2e zenon_H183 zenon_H500 zenon_H166 zenon_H275 zenon_H277 zenon_H9 zenon_Hf zenon_Hfc zenon_H11c zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.57 apply (zenon_L3_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_L251_); trivial.
% 20.37/20.57 apply (zenon_L1042_); trivial.
% 20.37/20.57 apply (zenon_L1043_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1044_ *)
% 20.37/20.57 assert (zenon_L1045_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H2ab zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H203 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H166 zenon_H500 zenon_H183 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.57 apply (zenon_L3_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.57 apply (zenon_L251_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.57 apply (zenon_L643_); trivial.
% 20.37/20.57 apply (zenon_L852_); trivial.
% 20.37/20.57 apply (zenon_L1043_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1045_ *)
% 20.37/20.57 assert (zenon_L1046_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H23a zenon_H53b zenon_H335 zenon_H387 zenon_H273 zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H203 zenon_H277 zenon_H166 zenon_H500 zenon_H183 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.57 apply (zenon_L1041_); trivial.
% 20.37/20.57 apply (zenon_L1045_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1046_ *)
% 20.37/20.57 assert (zenon_L1047_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H3b1 zenon_H2df zenon_H203 zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48a zenon_H48c zenon_H1c7 zenon_H1c3 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1dd zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H11c zenon_Hfc zenon_Hf zenon_H277 zenon_H166 zenon_H500 zenon_H183 zenon_H2e zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H6 zenon_H5 zenon_H358 zenon_H33e zenon_H273 zenon_H387 zenon_H335 zenon_H53b.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.57 apply (zenon_L1041_); trivial.
% 20.37/20.57 apply (zenon_L1044_); trivial.
% 20.37/20.57 apply (zenon_L1046_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1047_ *)
% 20.37/20.57 assert (zenon_L1048_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.57 apply (zenon_L342_); trivial.
% 20.37/20.57 apply (zenon_L819_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1048_ *)
% 20.37/20.57 assert (zenon_L1049_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.57 apply (zenon_L68_); trivial.
% 20.37/20.57 apply (zenon_L1048_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1049_ *)
% 20.37/20.57 assert (zenon_L1050_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.57 apply (zenon_L306_); trivial.
% 20.37/20.57 apply (zenon_L1049_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1050_ *)
% 20.37/20.57 assert (zenon_L1051_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H325 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.57 apply (zenon_L914_); trivial.
% 20.37/20.57 apply (zenon_L1050_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1051_ *)
% 20.37/20.57 assert (zenon_L1052_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.57 apply (zenon_L3_); trivial.
% 20.37/20.57 apply (zenon_L1051_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1052_ *)
% 20.37/20.57 assert (zenon_L1053_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.57 apply (zenon_L325_); trivial.
% 20.37/20.57 apply (zenon_L819_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1053_ *)
% 20.37/20.57 assert (zenon_L1054_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H183 zenon_Ha3 zenon_H47 zenon_H4c.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.57 apply (zenon_L68_); trivial.
% 20.37/20.57 apply (zenon_L1053_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1054_ *)
% 20.37/20.57 assert (zenon_L1055_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H332 zenon_H387 zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H273 zenon_H183 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.57 apply (zenon_L914_); trivial.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.57 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.57 apply (zenon_L764_); trivial.
% 20.37/20.57 apply (zenon_L1054_); trivial.
% 20.37/20.57 (* end of lemma zenon_L1055_ *)
% 20.37/20.57 assert (zenon_L1056_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1059)) -> (~(c0_1 (a1059))) -> (~(c1_1 (a1059))) -> False).
% 20.37/20.57 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H342 zenon_H377 zenon_H341.
% 20.37/20.57 generalize (zenon_H4e9 (a1059)). zenon_intro zenon_H583.
% 20.37/20.57 apply (zenon_imply_s _ _ zenon_H583); [ zenon_intro zenon_Hb | zenon_intro zenon_H584 ].
% 20.37/20.57 exact (zenon_Hb zenon_Hc).
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H347 | zenon_intro zenon_H585 ].
% 20.37/20.57 exact (zenon_H347 zenon_H342).
% 20.37/20.57 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H37b | zenon_intro zenon_H348 ].
% 20.37/20.57 exact (zenon_H377 zenon_H37b).
% 20.37/20.58 exact (zenon_H341 zenon_H348).
% 20.37/20.58 (* end of lemma zenon_L1056_ *)
% 20.37/20.58 assert (zenon_L1057_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H1d8 zenon_Hc zenon_H4e9 zenon_H342 zenon_H341 zenon_H340.
% 20.37/20.58 generalize (zenon_H1d8 (a1059)). zenon_intro zenon_H586.
% 20.37/20.58 apply (zenon_imply_s _ _ zenon_H586); [ zenon_intro zenon_Hb | zenon_intro zenon_H587 ].
% 20.37/20.58 exact (zenon_Hb zenon_Hc).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H377 | zenon_intro zenon_H357 ].
% 20.37/20.58 apply (zenon_L1056_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H346 | zenon_intro zenon_H348 ].
% 20.37/20.58 exact (zenon_H346 zenon_H340).
% 20.37/20.58 exact (zenon_H341 zenon_H348).
% 20.37/20.58 (* end of lemma zenon_L1057_ *)
% 20.37/20.58 assert (zenon_L1058_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ee zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.58 apply (zenon_L779_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.58 apply (zenon_L292_); trivial.
% 20.37/20.58 exact (zenon_H15f zenon_H160).
% 20.37/20.58 (* end of lemma zenon_L1058_ *)
% 20.37/20.58 assert (zenon_L1059_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4fc zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.58 apply (zenon_L781_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.58 apply (zenon_L292_); trivial.
% 20.37/20.58 exact (zenon_H15f zenon_H160).
% 20.37/20.58 (* end of lemma zenon_L1059_ *)
% 20.37/20.58 assert (zenon_L1060_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H500 zenon_H1d8 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.58 apply (zenon_L1057_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.58 apply (zenon_L1058_); trivial.
% 20.37/20.58 apply (zenon_L1059_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1060_ *)
% 20.37/20.58 assert (zenon_L1061_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c0_1 (a1037)) -> (c3_1 (a1037)) -> (ndr1_0) -> (~(hskp38)) -> (~(c1_1 (a1037))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_Ha3 zenon_H183 zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H8f zenon_H342 zenon_H341 zenon_H340 zenon_H10e zenon_H10c zenon_Hc zenon_H2f zenon_H124 zenon_H1dd.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.58 apply (zenon_L289_); trivial.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.37/20.58 apply (zenon_L119_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.37/20.58 exact (zenon_H2f zenon_H30).
% 20.37/20.58 apply (zenon_L1060_); trivial.
% 20.37/20.58 apply (zenon_L91_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1061_ *)
% 20.37/20.58 assert (zenon_L1062_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H26c zenon_Hc zenon_H4e9 zenon_H342 zenon_H341 zenon_H340.
% 20.37/20.58 generalize (zenon_H26c (a1059)). zenon_intro zenon_H588.
% 20.37/20.58 apply (zenon_imply_s _ _ zenon_H588); [ zenon_intro zenon_Hb | zenon_intro zenon_H589 ].
% 20.37/20.58 exact (zenon_Hb zenon_Hc).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H377 | zenon_intro zenon_H58a ].
% 20.37/20.58 apply (zenon_L1056_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H58a); [ zenon_intro zenon_H346 | zenon_intro zenon_H347 ].
% 20.37/20.58 exact (zenon_H346 zenon_H340).
% 20.37/20.58 exact (zenon_H347 zenon_H342).
% 20.37/20.58 (* end of lemma zenon_L1062_ *)
% 20.37/20.58 assert (zenon_L1063_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1059)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H84 zenon_Hc zenon_H342 zenon_H4e9 zenon_H341 zenon_H340.
% 20.37/20.58 generalize (zenon_H84 (a1059)). zenon_intro zenon_H374.
% 20.37/20.58 apply (zenon_imply_s _ _ zenon_H374); [ zenon_intro zenon_Hb | zenon_intro zenon_H375 ].
% 20.37/20.58 exact (zenon_Hb zenon_Hc).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H347 | zenon_intro zenon_H376 ].
% 20.37/20.58 exact (zenon_H347 zenon_H342).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H377 | zenon_intro zenon_H346 ].
% 20.37/20.58 apply (zenon_L1056_); trivial.
% 20.37/20.58 exact (zenon_H346 zenon_H340).
% 20.37/20.58 (* end of lemma zenon_L1063_ *)
% 20.37/20.58 assert (zenon_L1064_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1059)) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H8c zenon_H340 zenon_H341 zenon_H4e9 zenon_H342 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.37/20.58 apply (zenon_L35_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.37/20.58 apply (zenon_L1063_); trivial.
% 20.37/20.58 apply (zenon_L36_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1064_ *)
% 20.37/20.58 assert (zenon_L1065_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H500 zenon_H96 zenon_H94 zenon_H95 zenon_H8c zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.58 apply (zenon_L1064_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.58 apply (zenon_L1058_); trivial.
% 20.37/20.58 apply (zenon_L1059_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1065_ *)
% 20.37/20.58 assert (zenon_L1066_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.58 apply (zenon_L1065_); trivial.
% 20.37/20.58 apply (zenon_L91_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1066_ *)
% 20.37/20.58 assert (zenon_L1067_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_Hc4 zenon_Ha3 zenon_H277 zenon_H275 zenon_H342 zenon_H341 zenon_H340 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.58 apply (zenon_L244_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.58 apply (zenon_L1062_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.58 apply (zenon_L1058_); trivial.
% 20.37/20.58 apply (zenon_L1059_); trivial.
% 20.37/20.58 exact (zenon_H275 zenon_H276).
% 20.37/20.58 apply (zenon_L89_); trivial.
% 20.37/20.58 apply (zenon_L1066_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1067_ *)
% 20.37/20.58 assert (zenon_L1068_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H277 zenon_H275 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H183 zenon_Ha3.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.58 apply (zenon_L1061_); trivial.
% 20.37/20.58 apply (zenon_L1067_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1068_ *)
% 20.37/20.58 assert (zenon_L1069_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H277 zenon_H275 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H183 zenon_Ha3 zenon_H47 zenon_H4c.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.58 apply (zenon_L68_); trivial.
% 20.37/20.58 apply (zenon_L1068_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1069_ *)
% 20.37/20.58 assert (zenon_L1070_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H51c zenon_H132 zenon_H12f zenon_Hc8 zenon_H277 zenon_H1dd zenon_H340 zenon_H341 zenon_H342 zenon_H8f zenon_H166 zenon_H500 zenon_H8c zenon_H183 zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.58 apply (zenon_L764_); trivial.
% 20.37/20.58 apply (zenon_L1069_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1070_ *)
% 20.37/20.58 assert (zenon_L1071_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H53b zenon_H277 zenon_H500 zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.58 apply (zenon_L1052_); trivial.
% 20.37/20.58 apply (zenon_L1055_); trivial.
% 20.37/20.58 apply (zenon_L771_); trivial.
% 20.37/20.58 apply (zenon_L1070_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1071_ *)
% 20.37/20.58 assert (zenon_L1072_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H2b9 zenon_H4d4 zenon_H48c zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H273 zenon_H335 zenon_H500 zenon_H277 zenon_H53b.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.37/20.58 apply (zenon_L1071_); trivial.
% 20.37/20.58 apply (zenon_L730_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1072_ *)
% 20.37/20.58 assert (zenon_L1073_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H4a5 zenon_H3af zenon_H2de zenon_H56b zenon_H293 zenon_H560 zenon_H54a zenon_H53b zenon_H335 zenon_H23b zenon_H1dd zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H33e zenon_H273 zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c7 zenon_Hc9 zenon_H423 zenon_H51a zenon_H387 zenon_H5 zenon_H6 zenon_H328 zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_Ha3 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H48c zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H2b9 zenon_H203 zenon_H40d zenon_H485 zenon_H277 zenon_H265 zenon_H285 zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H435 zenon_H121 zenon_H23c zenon_Hc0 zenon_H3b zenon_H5b zenon_H535 zenon_H533 zenon_H484 zenon_H2df zenon_H2e0 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H46d zenon_H47b zenon_H3b0 zenon_H3f3 zenon_H3f5 zenon_H4a6.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.58 apply (zenon_L772_); trivial.
% 20.37/20.58 apply (zenon_L818_); trivial.
% 20.37/20.58 apply (zenon_L879_); trivial.
% 20.37/20.58 apply (zenon_L908_); trivial.
% 20.37/20.58 apply (zenon_L924_); trivial.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.58 apply (zenon_L926_); trivial.
% 20.37/20.58 apply (zenon_L948_); trivial.
% 20.37/20.58 apply (zenon_L879_); trivial.
% 20.37/20.58 apply (zenon_L957_); trivial.
% 20.37/20.58 apply (zenon_L1039_); trivial.
% 20.37/20.58 apply (zenon_L1047_); trivial.
% 20.37/20.58 apply (zenon_L730_); trivial.
% 20.37/20.58 apply (zenon_L1072_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1073_ *)
% 20.37/20.58 assert (zenon_L1074_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H325 zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H6c zenon_H138 zenon_H135 zenon_H137 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.58 apply (zenon_L764_); trivial.
% 20.37/20.58 apply (zenon_L421_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1074_ *)
% 20.37/20.58 assert (zenon_L1075_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H328 zenon_H132 zenon_H12f zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H6c zenon_H138 zenon_H135 zenon_H137 zenon_Ha3 zenon_H203 zenon_H8c zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.58 apply (zenon_L3_); trivial.
% 20.37/20.58 apply (zenon_L1074_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1075_ *)
% 20.37/20.58 assert (zenon_L1076_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H51c zenon_H335 zenon_H23b zenon_H1ec zenon_H358 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_H387 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H6c zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H277 zenon_Hc5 zenon_H1eb zenon_Hc8 zenon_H12f zenon_H132 zenon_H328.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.58 apply (zenon_L1075_); trivial.
% 20.37/20.58 apply (zenon_L867_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1076_ *)
% 20.37/20.58 assert (zenon_L1077_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H23a zenon_H53b zenon_H1ec zenon_H358 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H277 zenon_H1eb zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H8f zenon_H8c zenon_H203 zenon_Ha3 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.58 apply (zenon_L835_); trivial.
% 20.37/20.58 apply (zenon_L1076_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1077_ *)
% 20.37/20.58 assert (zenon_L1078_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H2df zenon_H53b zenon_H1ec zenon_H358 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H277 zenon_H1eb zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H2a6 zenon_Hc8 zenon_H12f zenon_H132 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9 zenon_H328 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.58 apply (zenon_L402_); trivial.
% 20.37/20.58 apply (zenon_L1077_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1078_ *)
% 20.37/20.58 assert (zenon_L1079_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_Hae zenon_H2f9 zenon_H307.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.37/20.58 apply (zenon_L803_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.37/20.58 apply (zenon_L526_); trivial.
% 20.37/20.58 apply (zenon_L805_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.58 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.58 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.58 apply (zenon_L257_); trivial.
% 20.37/20.58 apply (zenon_L305_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1079_ *)
% 20.37/20.58 assert (zenon_L1080_ : (~(hskp2)) -> (hskp2) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H58b zenon_H58c.
% 20.37/20.58 exact (zenon_H58b zenon_H58c).
% 20.37/20.58 (* end of lemma zenon_L1080_ *)
% 20.37/20.58 assert (zenon_L1081_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp58)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H277 zenon_H163 zenon_H161 zenon_H3bc zenon_H3bb zenon_H165 zenon_H263 zenon_Hc zenon_H23f zenon_H255 zenon_H256 zenon_H25e zenon_H273 zenon_H127 zenon_H126 zenon_H125 zenon_H142 zenon_H141 zenon_H140 zenon_H265 zenon_H275.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.58 apply (zenon_L567_); trivial.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.58 apply (zenon_L192_); trivial.
% 20.37/20.58 exact (zenon_H275 zenon_H276).
% 20.37/20.58 (* end of lemma zenon_L1081_ *)
% 20.37/20.58 assert (zenon_L1082_ : (forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (c0_1 (a1071)) -> (c1_1 (a1071)) -> (c3_1 (a1071)) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H58d zenon_Hc zenon_H349 zenon_H35c zenon_H34a.
% 20.37/20.58 generalize (zenon_H58d (a1071)). zenon_intro zenon_H58e.
% 20.37/20.58 apply (zenon_imply_s _ _ zenon_H58e); [ zenon_intro zenon_Hb | zenon_intro zenon_H58f ].
% 20.37/20.58 exact (zenon_Hb zenon_Hc).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H58f); [ zenon_intro zenon_H34f | zenon_intro zenon_H38d ].
% 20.37/20.58 exact (zenon_H34f zenon_H349).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H38e | zenon_intro zenon_H351 ].
% 20.37/20.58 exact (zenon_H38e zenon_H35c).
% 20.37/20.58 exact (zenon_H351 zenon_H34a).
% 20.37/20.58 (* end of lemma zenon_L1082_ *)
% 20.37/20.58 assert (zenon_L1083_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H359 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H142 zenon_H141 zenon_H140 zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H161 zenon_H163 zenon_H165 zenon_H590.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H590); [ zenon_intro zenon_H58c | zenon_intro zenon_H591 ].
% 20.37/20.58 exact (zenon_H58b zenon_H58c).
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H591); [ zenon_intro zenon_H23f | zenon_intro zenon_H58d ].
% 20.37/20.58 apply (zenon_L1081_); trivial.
% 20.37/20.58 apply (zenon_L1082_); trivial.
% 20.37/20.58 apply (zenon_L183_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1083_ *)
% 20.37/20.58 assert (zenon_L1084_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> (ndr1_0) -> (~(hskp34)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp2)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H33e zenon_H1df zenon_H1e1 zenon_H1e0 zenon_Hc zenon_H338 zenon_H590 zenon_H165 zenon_H161 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H140 zenon_H141 zenon_H142 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H58b zenon_H285 zenon_H358.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.58 apply (zenon_L561_); trivial.
% 20.37/20.58 apply (zenon_L1083_); trivial.
% 20.37/20.58 apply (zenon_L100_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1084_ *)
% 20.37/20.58 assert (zenon_L1085_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H142 zenon_H141 zenon_H140 zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H165 zenon_H590 zenon_H338 zenon_H33e zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.37/20.58 apply (zenon_L1084_); trivial.
% 20.37/20.58 apply (zenon_L584_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1085_ *)
% 20.37/20.58 assert (zenon_L1086_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H12e zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H590 zenon_H338 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.58 apply (zenon_L73_); trivial.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.58 apply (zenon_L787_); trivial.
% 20.37/20.58 apply (zenon_L1085_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1086_ *)
% 20.37/20.58 assert (zenon_L1087_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H338 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.58 apply (zenon_L1079_); trivial.
% 20.37/20.58 apply (zenon_L1086_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1087_ *)
% 20.37/20.58 assert (zenon_L1088_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp2)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H387 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H149 zenon_H19e zenon_H33e zenon_H590 zenon_H165 zenon_H265 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H58b zenon_H285 zenon_H358 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H132.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.58 apply (zenon_L1087_); trivial.
% 20.37/20.58 apply (zenon_L916_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1088_ *)
% 20.37/20.58 assert (zenon_L1089_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H325 zenon_H23b zenon_H2ab zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H387.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.58 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.58 apply (zenon_L1088_); trivial.
% 20.37/20.58 apply (zenon_L921_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1089_ *)
% 20.37/20.58 assert (zenon_L1090_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H328 zenon_H23b zenon_H2ab zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.58 apply (zenon_L3_); trivial.
% 20.37/20.58 apply (zenon_L1089_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1090_ *)
% 20.37/20.58 assert (zenon_L1091_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp36)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_Hc5 zenon_Hc0 zenon_H8c zenon_Hae zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.58 apply (zenon_L828_); trivial.
% 20.37/20.58 apply (zenon_L45_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1091_ *)
% 20.37/20.58 assert (zenon_L1092_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H590 zenon_H338 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H8f zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.58 apply (zenon_L1091_); trivial.
% 20.37/20.58 apply (zenon_L1086_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1092_ *)
% 20.37/20.58 assert (zenon_L1093_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp2)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.58 do 0 intro. intros zenon_H387 zenon_H51a zenon_H4e1 zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8f zenon_H183 zenon_H149 zenon_H19e zenon_H33e zenon_H590 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H58b zenon_H285 zenon_H358 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H132.
% 20.37/20.58 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.58 apply (zenon_L1092_); trivial.
% 20.37/20.58 apply (zenon_L807_); trivial.
% 20.37/20.58 (* end of lemma zenon_L1093_ *)
% 20.37/20.58 assert (zenon_L1094_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp2)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H51c zenon_H335 zenon_Hc8 zenon_H93 zenon_H6c zenon_H1dd zenon_H40d zenon_Hc0 zenon_Hc5 zenon_H4e1 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H19e zenon_H33e zenon_H590 zenon_H165 zenon_H265 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H58b zenon_H285 zenon_H358 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H132 zenon_H12f zenon_H47 zenon_H4c zenon_H2ab zenon_H23b zenon_H328.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.59 apply (zenon_L1090_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.59 apply (zenon_L1093_); trivial.
% 20.37/20.59 apply (zenon_L816_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1094_ *)
% 20.37/20.59 assert (zenon_L1095_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp2)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2d8 zenon_H53b zenon_Hc0 zenon_H4e1 zenon_H51a zenon_H319 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2f9 zenon_H307 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H19e zenon_H590 zenon_H165 zenon_H58b zenon_H1cf zenon_H1ec zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.59 apply (zenon_L919_); trivial.
% 20.37/20.59 apply (zenon_L1094_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1095_ *)
% 20.37/20.59 assert (zenon_L1096_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp2)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp19)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2e0 zenon_Hc0 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H19e zenon_H590 zenon_H165 zenon_H58b zenon_H1cf zenon_H265 zenon_H285 zenon_H335 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_Ha3 zenon_H5 zenon_H6 zenon_Hf zenon_H1b zenon_H20 zenon_H2e zenon_H328 zenon_H2b9 zenon_H4d4 zenon_H48a zenon_H48c zenon_H132 zenon_H12f zenon_Hc8 zenon_H2a6 zenon_H203 zenon_H1dd zenon_H212 zenon_H215 zenon_H219 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H1eb zenon_H277 zenon_H138 zenon_H135 zenon_H137 zenon_H387 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H33e zenon_H51a zenon_H4e1 zenon_H358 zenon_H1ec zenon_H53b zenon_H2df.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.37/20.59 apply (zenon_L1078_); trivial.
% 20.37/20.59 apply (zenon_L1095_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1096_ *)
% 20.37/20.59 assert (zenon_L1097_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H8f zenon_H29e zenon_H2a6 zenon_H273 zenon_H265 zenon_H8c zenon_H1dd zenon_Ha3 zenon_H1eb zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.59 apply (zenon_L529_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.59 apply (zenon_L68_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.59 apply (zenon_L536_); trivial.
% 20.37/20.59 apply (zenon_L819_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1097_ *)
% 20.37/20.59 assert (zenon_L1098_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.59 apply (zenon_L764_); trivial.
% 20.37/20.59 apply (zenon_L219_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1098_ *)
% 20.37/20.59 assert (zenon_L1099_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H37c zenon_H132 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.59 apply (zenon_L764_); trivial.
% 20.37/20.59 apply (zenon_L471_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1099_ *)
% 20.37/20.59 assert (zenon_L1100_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H332 zenon_H387 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.59 apply (zenon_L914_); trivial.
% 20.37/20.59 apply (zenon_L1099_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1100_ *)
% 20.37/20.59 assert (zenon_L1101_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1eb zenon_H265 zenon_H273 zenon_H285 zenon_H138 zenon_H135 zenon_H137 zenon_H387 zenon_H6 zenon_H5 zenon_H335.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.59 apply (zenon_L3_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.59 apply (zenon_L914_); trivial.
% 20.37/20.59 apply (zenon_L1097_); trivial.
% 20.37/20.59 apply (zenon_L1098_); trivial.
% 20.37/20.59 apply (zenon_L1100_); trivial.
% 20.37/20.59 apply (zenon_L771_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1101_ *)
% 20.37/20.59 assert (zenon_L1102_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H413 zenon_Hc zenon_H263.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.37/20.59 apply (zenon_L530_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.37/20.59 apply (zenon_L541_); trivial.
% 20.37/20.59 exact (zenon_H263 zenon_H264).
% 20.37/20.59 (* end of lemma zenon_L1102_ *)
% 20.37/20.59 assert (zenon_L1103_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp42)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H285 zenon_H56b zenon_H1f1 zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H11 zenon_H12 zenon_H10 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.37/20.59 apply (zenon_L803_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.37/20.59 apply (zenon_L1102_); trivial.
% 20.37/20.59 apply (zenon_L527_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.59 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.59 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.59 apply (zenon_L933_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1103_ *)
% 20.37/20.59 assert (zenon_L1104_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.59 apply (zenon_L1103_); trivial.
% 20.37/20.59 apply (zenon_L139_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1104_ *)
% 20.37/20.59 assert (zenon_L1105_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.59 apply (zenon_L68_); trivial.
% 20.37/20.59 apply (zenon_L1104_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1105_ *)
% 20.37/20.59 assert (zenon_L1106_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.59 apply (zenon_L529_); trivial.
% 20.37/20.59 apply (zenon_L1105_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1106_ *)
% 20.37/20.59 assert (zenon_L1107_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H328 zenon_H23b zenon_Hc8 zenon_H11c zenon_Hfc zenon_Hf zenon_H9 zenon_H277 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2e zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H275 zenon_H2ab zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.59 apply (zenon_L3_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.59 apply (zenon_L1106_); trivial.
% 20.37/20.59 apply (zenon_L945_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1107_ *)
% 20.37/20.59 assert (zenon_L1108_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H1c7 zenon_H296 zenon_H297 zenon_H295 zenon_Hc zenon_H403 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.37/20.59 apply (zenon_L523_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.37/20.59 apply (zenon_L823_); trivial.
% 20.37/20.59 apply (zenon_L527_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.59 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.59 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.59 (* end of lemma zenon_L1108_ *)
% 20.37/20.59 assert (zenon_L1109_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H1c7 zenon_H296 zenon_H297 zenon_H295 zenon_Hc zenon_H40a zenon_H32b zenon_H329 zenon_H32a zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.37/20.59 apply (zenon_L523_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.37/20.59 apply (zenon_L826_); trivial.
% 20.37/20.59 apply (zenon_L527_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.37/20.59 exact (zenon_H1c3 zenon_H1c4).
% 20.37/20.59 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.59 (* end of lemma zenon_L1109_ *)
% 20.37/20.59 assert (zenon_L1110_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (ndr1_0) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H40d zenon_H60 zenon_H1c7 zenon_H296 zenon_H297 zenon_H295 zenon_Hc zenon_H32b zenon_H329 zenon_H32a zenon_H423 zenon_H1c3 zenon_H1c5.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.37/20.59 apply (zenon_L1108_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.37/20.59 exact (zenon_H60 zenon_H61).
% 20.37/20.59 apply (zenon_L1109_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1110_ *)
% 20.37/20.59 assert (zenon_L1111_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.59 apply (zenon_L1110_); trivial.
% 20.37/20.59 apply (zenon_L400_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1111_ *)
% 20.37/20.59 assert (zenon_L1112_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_Hc8 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132 zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.59 apply (zenon_L1111_); trivial.
% 20.37/20.59 apply (zenon_L816_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1112_ *)
% 20.37/20.59 assert (zenon_L1113_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_H93 zenon_H6c zenon_H33e zenon_H358 zenon_H40d zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319 zenon_H2ab zenon_H275 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1dd zenon_H2e zenon_H183 zenon_H500 zenon_H166 zenon_H277 zenon_H9 zenon_Hf zenon_Hfc zenon_H11c zenon_Hc8 zenon_H23b zenon_H328.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.59 apply (zenon_L1107_); trivial.
% 20.37/20.59 apply (zenon_L1112_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1113_ *)
% 20.37/20.59 assert (zenon_L1114_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H8f zenon_H2a6 zenon_H273 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H1dd zenon_Ha3 zenon_H1eb zenon_H47 zenon_H4c zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H23b.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.59 apply (zenon_L545_); trivial.
% 20.37/20.59 apply (zenon_L1098_); trivial.
% 20.37/20.59 apply (zenon_L771_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1114_ *)
% 20.37/20.59 assert (zenon_L1115_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_Hae zenon_H2f9 zenon_H307.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.37/20.59 apply (zenon_L528_); trivial.
% 20.37/20.59 apply (zenon_L305_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1115_ *)
% 20.37/20.59 assert (zenon_L1116_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp33)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H282 zenon_H56b zenon_H1c5 zenon_H297 zenon_H295 zenon_H296 zenon_H203 zenon_H1f1 zenon_H3a6 zenon_H39a zenon_H39b.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H56b); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H56c ].
% 20.37/20.59 exact (zenon_H1c5 zenon_H1c6).
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H56c); [ zenon_intro zenon_H561 | zenon_intro zenon_H564 ].
% 20.37/20.59 apply (zenon_L929_); trivial.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.37/20.59 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.37/20.59 apply (zenon_L931_); trivial.
% 20.37/20.59 apply (zenon_L623_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1116_ *)
% 20.37/20.59 assert (zenon_L1117_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp42)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H285 zenon_H56b zenon_H1f1 zenon_H203 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.37/20.59 apply (zenon_L543_); trivial.
% 20.37/20.59 apply (zenon_L1116_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1117_ *)
% 20.37/20.59 assert (zenon_L1118_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H203 zenon_H56b zenon_H285.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.59 apply (zenon_L1117_); trivial.
% 20.37/20.59 apply (zenon_L139_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1118_ *)
% 20.37/20.59 assert (zenon_L1119_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.59 apply (zenon_L1115_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.59 apply (zenon_L68_); trivial.
% 20.37/20.59 apply (zenon_L1118_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1119_ *)
% 20.37/20.59 assert (zenon_L1120_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H328 zenon_H23b zenon_Hc8 zenon_H11c zenon_Hfc zenon_Hf zenon_H9 zenon_H277 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H183 zenon_H2e zenon_H1dd zenon_H275 zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.59 apply (zenon_L3_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.59 apply (zenon_L1119_); trivial.
% 20.37/20.59 apply (zenon_L945_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1120_ *)
% 20.37/20.59 assert (zenon_L1121_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_H93 zenon_H6c zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H33e zenon_H358 zenon_H40d zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ab zenon_H275 zenon_H1dd zenon_H2e zenon_H183 zenon_H500 zenon_H166 zenon_H277 zenon_H9 zenon_Hf zenon_Hfc zenon_H11c zenon_Hc8 zenon_H23b zenon_H328.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.59 apply (zenon_L1120_); trivial.
% 20.37/20.59 apply (zenon_L1112_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1121_ *)
% 20.37/20.59 assert (zenon_L1122_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H3ab zenon_H53b zenon_H335 zenon_H387 zenon_H33e zenon_H358 zenon_H40d zenon_H5 zenon_H6 zenon_H203 zenon_H56b zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H2e zenon_H183 zenon_H500 zenon_H166 zenon_H9 zenon_Hf zenon_Hfc zenon_H11c zenon_H328 zenon_H23b zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H1eb zenon_Ha3 zenon_H1dd zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H273 zenon_H2a6 zenon_H8f zenon_H285 zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H277 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.59 apply (zenon_L1114_); trivial.
% 20.37/20.59 apply (zenon_L1121_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1122_ *)
% 20.37/20.59 assert (zenon_L1123_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2db zenon_H2df zenon_H1ec zenon_H4e1 zenon_H51a zenon_H149 zenon_H1ed zenon_H53b zenon_H40d zenon_H203 zenon_H56b zenon_H2e zenon_H183 zenon_H500 zenon_H166 zenon_H277 zenon_Hf zenon_Hfc zenon_H11c zenon_H335 zenon_H5 zenon_H6 zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H273 zenon_H265 zenon_H1eb zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H1c3 zenon_H1c7 zenon_H398 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9 zenon_H3ae.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.59 apply (zenon_L1101_); trivial.
% 20.37/20.59 apply (zenon_L1113_); trivial.
% 20.37/20.59 apply (zenon_L1122_); trivial.
% 20.37/20.59 apply (zenon_L1077_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1123_ *)
% 20.37/20.59 assert (zenon_L1124_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp2)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2de zenon_H56b zenon_Hfc zenon_H11c zenon_H398 zenon_H3ae zenon_H2df zenon_H53b zenon_H1ec zenon_H358 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H277 zenon_H1eb zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H219 zenon_H215 zenon_H212 zenon_H1dd zenon_H203 zenon_H2a6 zenon_Hc8 zenon_H12f zenon_H132 zenon_H48c zenon_H48a zenon_H4d4 zenon_H2b9 zenon_H328 zenon_H2e zenon_H20 zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335 zenon_H285 zenon_H265 zenon_H1cf zenon_H58b zenon_H165 zenon_H590 zenon_H19e zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_Hc0 zenon_H2e0.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.37/20.59 apply (zenon_L1096_); trivial.
% 20.37/20.59 apply (zenon_L1123_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1124_ *)
% 20.37/20.59 assert (zenon_L1125_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H335.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.59 apply (zenon_L3_); trivial.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.59 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.59 apply (zenon_L914_); trivial.
% 20.37/20.59 apply (zenon_L579_); trivial.
% 20.37/20.59 apply (zenon_L1100_); trivial.
% 20.37/20.59 apply (zenon_L771_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1125_ *)
% 20.37/20.59 assert (zenon_L1126_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.59 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.37/20.59 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.59 apply (zenon_L1079_); trivial.
% 20.37/20.59 apply (zenon_L586_); trivial.
% 20.37/20.59 (* end of lemma zenon_L1126_ *)
% 20.37/20.60 assert (zenon_L1127_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.60 apply (zenon_L875_); trivial.
% 20.37/20.60 apply (zenon_L418_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1127_ *)
% 20.37/20.60 assert (zenon_L1128_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_Ha3 zenon_H1dd zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1eb.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.60 apply (zenon_L875_); trivial.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.60 apply (zenon_L148_); trivial.
% 20.37/20.60 apply (zenon_L417_); trivial.
% 20.37/20.60 apply (zenon_L1127_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1128_ *)
% 20.37/20.60 assert (zenon_L1129_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_Ha3 zenon_H1dd zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1eb zenon_H47 zenon_H4c.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.60 apply (zenon_L68_); trivial.
% 20.37/20.60 apply (zenon_L1128_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1129_ *)
% 20.37/20.60 assert (zenon_L1130_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H22b zenon_H132 zenon_H12f zenon_Hc8 zenon_H535 zenon_H533 zenon_H1dd zenon_H6c zenon_H93 zenon_H273 zenon_H275 zenon_H277 zenon_Hc5 zenon_H1eb zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.60 apply (zenon_L1079_); trivial.
% 20.37/20.60 apply (zenon_L1129_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1130_ *)
% 20.37/20.60 assert (zenon_L1131_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H156 zenon_H157 zenon_H158 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.60 apply (zenon_L482_); trivial.
% 20.37/20.60 apply (zenon_L430_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1131_ *)
% 20.37/20.60 assert (zenon_L1132_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H120 zenon_H358 zenon_Ha3 zenon_H156 zenon_H157 zenon_H158 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_H33e.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.60 apply (zenon_L286_); trivial.
% 20.37/20.60 apply (zenon_L1131_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1132_ *)
% 20.37/20.60 assert (zenon_L1133_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H12e zenon_H12f zenon_H358 zenon_Ha3 zenon_H156 zenon_H157 zenon_H158 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_H33e zenon_H47 zenon_H4c.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.60 apply (zenon_L68_); trivial.
% 20.37/20.60 apply (zenon_L1132_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1133_ *)
% 20.37/20.60 assert (zenon_L1134_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H158 zenon_H157 zenon_H156 zenon_Ha3 zenon_H358 zenon_H12f zenon_H132.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.60 apply (zenon_L764_); trivial.
% 20.37/20.60 apply (zenon_L1133_); trivial.
% 20.37/20.60 apply (zenon_L579_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1134_ *)
% 20.37/20.60 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H23a zenon_H53b zenon_H4e1 zenon_H51a zenon_H500 zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H308 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H23b zenon_H335 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H285 zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.60 apply (zenon_L1125_); trivial.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.60 apply (zenon_L3_); trivial.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.60 apply (zenon_L1126_); trivial.
% 20.37/20.60 apply (zenon_L1130_); trivial.
% 20.37/20.60 apply (zenon_L1134_); trivial.
% 20.37/20.60 apply (zenon_L977_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1135_ *)
% 20.37/20.60 assert (zenon_L1136_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> False).
% 20.37/20.60 do 0 intro. intros zenon_Hbf zenon_H277 zenon_H255 zenon_H25e zenon_H256 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H8c zenon_H273 zenon_H275.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.60 apply (zenon_L201_); trivial.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.60 apply (zenon_L245_); trivial.
% 20.37/20.60 exact (zenon_H275 zenon_H276).
% 20.37/20.60 (* end of lemma zenon_L1136_ *)
% 20.37/20.60 assert (zenon_L1137_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.37/20.60 apply (zenon_L148_); trivial.
% 20.37/20.60 apply (zenon_L1136_); trivial.
% 20.37/20.60 apply (zenon_L247_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1137_ *)
% 20.37/20.60 assert (zenon_L1138_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H47 zenon_H4c.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.37/20.60 apply (zenon_L68_); trivial.
% 20.37/20.60 apply (zenon_L1137_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1138_ *)
% 20.37/20.60 assert (zenon_L1139_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H22b zenon_H132 zenon_H12f zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_Hc5 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.60 apply (zenon_L764_); trivial.
% 20.37/20.60 apply (zenon_L1138_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1139_ *)
% 20.37/20.60 assert (zenon_L1140_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H23c zenon_H12f zenon_Hc8 zenon_H1dd zenon_H6c zenon_H93 zenon_H255 zenon_H25e zenon_H256 zenon_Hc5 zenon_H47 zenon_H4c zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.60 apply (zenon_L1126_); trivial.
% 20.37/20.60 apply (zenon_L1139_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1140_ *)
% 20.37/20.60 assert (zenon_L1141_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H328 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ab zenon_H4c zenon_H47 zenon_Hc5 zenon_H256 zenon_H25e zenon_H255 zenon_H93 zenon_H6c zenon_H1dd zenon_Hc8 zenon_H12f zenon_H23c zenon_H6 zenon_H1 zenon_H5.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.37/20.60 apply (zenon_L3_); trivial.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.60 apply (zenon_L1140_); trivial.
% 20.37/20.60 apply (zenon_L1023_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1141_ *)
% 20.37/20.60 assert (zenon_L1142_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.37/20.60 apply (zenon_L1091_); trivial.
% 20.37/20.60 apply (zenon_L586_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1142_ *)
% 20.37/20.60 assert (zenon_L1143_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H23c zenon_H12f zenon_Hc8 zenon_H1dd zenon_H6c zenon_H93 zenon_H255 zenon_H25e zenon_H256 zenon_H47 zenon_H4c zenon_H2ab zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.37/20.60 apply (zenon_L1142_); trivial.
% 20.37/20.60 apply (zenon_L1139_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1143_ *)
% 20.37/20.60 assert (zenon_L1144_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5 zenon_H2ab zenon_H4c zenon_H47 zenon_H256 zenon_H25e zenon_H255 zenon_H93 zenon_H6c zenon_H1dd zenon_Hc8 zenon_H12f zenon_H23c.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.37/20.60 apply (zenon_L1143_); trivial.
% 20.37/20.60 apply (zenon_L816_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1144_ *)
% 20.37/20.60 assert (zenon_L1145_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H2d8 zenon_H335 zenon_H40d zenon_Hc0 zenon_H5 zenon_H6 zenon_H23c zenon_H12f zenon_Hc8 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H47 zenon_H4c zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H358 zenon_H33e zenon_H387 zenon_H23b zenon_H328.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.37/20.60 apply (zenon_L1141_); trivial.
% 20.37/20.60 apply (zenon_L1144_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1145_ *)
% 20.37/20.60 assert (zenon_L1146_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp19)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H2e0 zenon_H40d zenon_Hc0 zenon_H335 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_Ha3 zenon_H5 zenon_H6 zenon_Hf zenon_H1b zenon_H20 zenon_H2e zenon_H328 zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48a zenon_H48c zenon_H387 zenon_H285 zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H1ec zenon_H149 zenon_H19e zenon_H165 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H308 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_H1eb zenon_H533 zenon_H535 zenon_H23c zenon_H500 zenon_H51a zenon_H4e1 zenon_H53b zenon_H2df.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.60 apply (zenon_L402_); trivial.
% 20.37/20.60 apply (zenon_L1135_); trivial.
% 20.37/20.60 apply (zenon_L1145_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1146_ *)
% 20.37/20.60 assert (zenon_L1147_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H3ab zenon_H53b zenon_H40d zenon_H203 zenon_H56b zenon_H307 zenon_H2f9 zenon_H423 zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_H2e zenon_H183 zenon_H500 zenon_H166 zenon_H9 zenon_Hf zenon_Hfc zenon_H11c zenon_H23b zenon_H335 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H285 zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.60 apply (zenon_L1125_); trivial.
% 20.37/20.60 apply (zenon_L1121_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1147_ *)
% 20.37/20.60 assert (zenon_L1148_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H203 zenon_H56b zenon_H398 zenon_Hfc zenon_H11c zenon_H3ae zenon_H2df zenon_H53b zenon_H4e1 zenon_H51a zenon_H500 zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H308 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H265 zenon_H277 zenon_H285 zenon_H387 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9 zenon_H328 zenon_H2e zenon_H20 zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335 zenon_Hc0 zenon_H40d zenon_H2e0.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.37/20.60 apply (zenon_L1146_); trivial.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.37/20.60 apply (zenon_L1125_); trivial.
% 20.37/20.60 apply (zenon_L1113_); trivial.
% 20.37/20.60 apply (zenon_L1147_); trivial.
% 20.37/20.60 apply (zenon_L1135_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1148_ *)
% 20.37/20.60 assert (zenon_L1149_ : (forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H270 zenon_Hc zenon_H2af zenon_H592 zenon_H2ae zenon_H2ad.
% 20.37/20.60 generalize (zenon_H270 (a1091)). zenon_intro zenon_H502.
% 20.37/20.60 apply (zenon_imply_s _ _ zenon_H502); [ zenon_intro zenon_Hb | zenon_intro zenon_H503 ].
% 20.37/20.60 exact (zenon_Hb zenon_Hc).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H503); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H504 ].
% 20.37/20.60 exact (zenon_H2af zenon_H2b4).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H504); [ zenon_intro zenon_H4cd | zenon_intro zenon_H2b5 ].
% 20.37/20.60 generalize (zenon_H592 (a1091)). zenon_intro zenon_H593.
% 20.37/20.60 apply (zenon_imply_s _ _ zenon_H593); [ zenon_intro zenon_Hb | zenon_intro zenon_H594 ].
% 20.37/20.60 exact (zenon_Hb zenon_Hc).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H594); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H595 ].
% 20.37/20.60 exact (zenon_H2ae zenon_H2b5).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H595); [ zenon_intro zenon_H4d1 | zenon_intro zenon_H2b3 ].
% 20.37/20.60 exact (zenon_H4d1 zenon_H4cd).
% 20.37/20.60 exact (zenon_H2ad zenon_H2b3).
% 20.37/20.60 exact (zenon_H2ae zenon_H2b5).
% 20.37/20.60 (* end of lemma zenon_L1149_ *)
% 20.37/20.60 assert (zenon_L1150_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_H155 zenon_Hc zenon_H2af zenon_H592 zenon_H2ae zenon_H2ad.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.37/20.60 apply (zenon_L244_); trivial.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.37/20.60 apply (zenon_L449_); trivial.
% 20.37/20.60 apply (zenon_L1149_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1150_ *)
% 20.37/20.60 assert (zenon_L1151_ : (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H596 zenon_Hc zenon_H4aa zenon_H4ac zenon_H4ab.
% 20.37/20.60 generalize (zenon_H596 (a1043)). zenon_intro zenon_H597.
% 20.37/20.60 apply (zenon_imply_s _ _ zenon_H597); [ zenon_intro zenon_Hb | zenon_intro zenon_H598 ].
% 20.37/20.60 exact (zenon_Hb zenon_Hc).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H598); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H599 ].
% 20.37/20.60 exact (zenon_H4aa zenon_H4b1).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H599); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H4b2 ].
% 20.37/20.60 exact (zenon_H4ac zenon_H4b0).
% 20.37/20.60 exact (zenon_H4b2 zenon_H4ab).
% 20.37/20.60 (* end of lemma zenon_L1151_ *)
% 20.37/20.60 assert (zenon_L1152_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1071)) -> (c3_1 (a1071)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp34)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H166 zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H349 zenon_H34a zenon_H8c zenon_H4aa zenon_H4ac zenon_H4ab zenon_H338 zenon_H59a.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H59a); [ zenon_intro zenon_H592 | zenon_intro zenon_H59b ].
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.37/20.60 apply (zenon_L291_); trivial.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.37/20.60 apply (zenon_L1150_); trivial.
% 20.37/20.60 exact (zenon_H15f zenon_H160).
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H59b); [ zenon_intro zenon_H596 | zenon_intro zenon_H339 ].
% 20.37/20.60 apply (zenon_L1151_); trivial.
% 20.37/20.60 exact (zenon_H338 zenon_H339).
% 20.37/20.60 apply (zenon_L91_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1152_ *)
% 20.37/20.60 assert (zenon_L1153_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp34)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H338 zenon_H59a zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H8f zenon_H183.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.60 apply (zenon_L793_); trivial.
% 20.37/20.60 apply (zenon_L1152_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1153_ *)
% 20.37/20.60 assert (zenon_L1154_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H8f zenon_H183 zenon_H338 zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.37/20.60 apply (zenon_L561_); trivial.
% 20.37/20.60 apply (zenon_L1153_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1154_ *)
% 20.37/20.60 assert (zenon_L1155_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.37/20.60 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H65 zenon_H64 zenon_H63 zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.37/20.60 apply (zenon_L787_); trivial.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.37/20.60 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.37/20.60 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.37/20.60 apply (zenon_L1154_); trivial.
% 20.37/20.60 apply (zenon_L576_); trivial.
% 20.37/20.60 (* end of lemma zenon_L1155_ *)
% 20.37/20.60 assert (zenon_L1156_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.37/20.61 do 0 intro. intros zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.37/20.61 apply (zenon_L777_); trivial.
% 20.37/20.61 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.37/20.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.37/20.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.37/20.61 apply (zenon_L73_); trivial.
% 20.37/20.61 apply (zenon_L1155_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1156_ *)
% 20.37/20.61 assert (zenon_L1157_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.37/20.61 do 0 intro. intros zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.37/20.61 apply (zenon_L1156_); trivial.
% 20.37/20.61 apply (zenon_L916_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1157_ *)
% 20.37/20.61 assert (zenon_L1158_ : (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (ndr1_0) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> False).
% 20.37/20.61 do 0 intro. intros zenon_H4ee zenon_Hc zenon_H4ab zenon_H4aa zenon_H4ac.
% 20.37/20.61 generalize (zenon_H4ee (a1043)). zenon_intro zenon_H59c.
% 20.37/20.61 apply (zenon_imply_s _ _ zenon_H59c); [ zenon_intro zenon_Hb | zenon_intro zenon_H59d ].
% 20.37/20.61 exact (zenon_Hb zenon_Hc).
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H59d); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H59e ].
% 20.37/20.61 exact (zenon_H4b2 zenon_H4ab).
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ].
% 20.37/20.61 exact (zenon_H4aa zenon_H4b1).
% 20.37/20.61 exact (zenon_H4ac zenon_H4b0).
% 20.37/20.61 (* end of lemma zenon_L1158_ *)
% 20.37/20.61 assert (zenon_L1159_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.37/20.61 do 0 intro. intros zenon_H500 zenon_H26c zenon_H4ac zenon_H4aa zenon_H4ab zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.37/20.61 apply (zenon_L939_); trivial.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.37/20.61 apply (zenon_L1158_); trivial.
% 20.37/20.61 apply (zenon_L848_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1159_ *)
% 20.37/20.61 assert (zenon_L1160_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (ndr1_0) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1031))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.37/20.61 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H8c zenon_H22e zenon_H230 zenon_H63 zenon_H64 zenon_H65 zenon_Hc zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H22f zenon_H275 zenon_H277.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.37/20.61 apply (zenon_L844_); trivial.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.37/20.61 apply (zenon_L1159_); trivial.
% 20.37/20.61 exact (zenon_H275 zenon_H276).
% 20.37/20.61 apply (zenon_L89_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1160_ *)
% 20.37/20.61 assert (zenon_L1161_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.37/20.61 do 0 intro. intros zenon_H8c zenon_H22e zenon_H22f zenon_H1f6 zenon_H230 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.37/20.61 apply (zenon_L35_); trivial.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.37/20.61 apply (zenon_L265_); trivial.
% 20.37/20.61 apply (zenon_L36_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1161_ *)
% 20.37/20.61 assert (zenon_L1162_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.37/20.61 do 0 intro. intros zenon_Ha0 zenon_H203 zenon_H1f1 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H12 zenon_H10 zenon_H11.
% 20.37/20.61 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.37/20.61 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.37/20.61 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.37/20.61 exact (zenon_H1f1 zenon_H1f2).
% 20.37/20.61 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.37/20.61 apply (zenon_L1161_); trivial.
% 20.37/20.61 apply (zenon_L267_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1162_ *)
% 20.37/20.61 assert (zenon_L1163_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1031))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (ndr1_0) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.37/20.61 do 0 intro. intros zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H277 zenon_H275 zenon_H22f zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_Hc zenon_H65 zenon_H64 zenon_H63 zenon_H230 zenon_H22e zenon_H8c zenon_H8f zenon_H183.
% 20.37/20.61 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.37/20.61 apply (zenon_L1160_); trivial.
% 20.37/20.61 apply (zenon_L1162_); trivial.
% 20.37/20.61 (* end of lemma zenon_L1163_ *)
% 20.37/20.61 assert (zenon_L1164_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1dd zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.61 apply (zenon_L68_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.61 apply (zenon_L162_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.61 apply (zenon_L1163_); trivial.
% 20.49/20.61 apply (zenon_L139_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1164_ *)
% 20.49/20.61 assert (zenon_L1165_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H237 zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.61 apply (zenon_L764_); trivial.
% 20.49/20.61 apply (zenon_L1164_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1165_ *)
% 20.49/20.61 assert (zenon_L1166_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H65 zenon_H64 zenon_H63 zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.61 apply (zenon_L787_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.61 apply (zenon_L1154_); trivial.
% 20.49/20.61 apply (zenon_L628_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1166_ *)
% 20.49/20.61 assert (zenon_L1167_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.61 apply (zenon_L777_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.61 apply (zenon_L73_); trivial.
% 20.49/20.61 apply (zenon_L1166_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1167_ *)
% 20.49/20.61 assert (zenon_L1168_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1039)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp31)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H387 zenon_H51a zenon_H423 zenon_H4c2 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H463 zenon_H32b zenon_H32a zenon_H329 zenon_H46d zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.61 apply (zenon_L1167_); trivial.
% 20.49/20.61 apply (zenon_L807_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1168_ *)
% 20.49/20.61 assert (zenon_L1169_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H23b zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H4c2 zenon_H423 zenon_H51a zenon_H387.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.61 apply (zenon_L1168_); trivial.
% 20.49/20.61 apply (zenon_L816_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1169_ *)
% 20.49/20.61 assert (zenon_L1170_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.61 apply (zenon_L777_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.61 apply (zenon_L73_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.61 apply (zenon_L787_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.61 apply (zenon_L1154_); trivial.
% 20.49/20.61 apply (zenon_L631_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1170_ *)
% 20.49/20.61 assert (zenon_L1171_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H387 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H46f zenon_H470 zenon_H471 zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.61 apply (zenon_L1170_); trivial.
% 20.49/20.61 apply (zenon_L807_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1171_ *)
% 20.49/20.61 assert (zenon_L1172_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1039)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H332 zenon_H47b zenon_H215 zenon_H212 zenon_H387 zenon_H51a zenon_H423 zenon_H4c2 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H46d zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H132 zenon_H12f zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H23b.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.49/20.61 apply (zenon_L1169_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.61 apply (zenon_L1171_); trivial.
% 20.49/20.61 apply (zenon_L816_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1172_ *)
% 20.49/20.61 assert (zenon_L1173_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H47b zenon_H51a zenon_H46d zenon_Hc9 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H203 zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H23b zenon_H335.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.61 apply (zenon_L918_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.61 apply (zenon_L3_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.61 apply (zenon_L1157_); trivial.
% 20.49/20.61 apply (zenon_L1165_); trivial.
% 20.49/20.61 apply (zenon_L1172_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1173_ *)
% 20.49/20.61 assert (zenon_L1174_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1039)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H325 zenon_H23b zenon_H277 zenon_H1dd zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H4c2 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H265 zenon_H12f zenon_H132 zenon_H387.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.61 apply (zenon_L1156_); trivial.
% 20.49/20.61 apply (zenon_L937_); trivial.
% 20.49/20.61 apply (zenon_L1165_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1174_ *)
% 20.49/20.61 assert (zenon_L1175_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1039)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H328 zenon_H23b zenon_H277 zenon_H1dd zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H4c2 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H265 zenon_H12f zenon_H132 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.61 apply (zenon_L3_); trivial.
% 20.49/20.61 apply (zenon_L1174_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1175_ *)
% 20.49/20.61 assert (zenon_L1176_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H335 zenon_H47b zenon_H51a zenon_H423 zenon_H46d zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_H277 zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H1dd zenon_H12f zenon_H132 zenon_H23b.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.61 apply (zenon_L928_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.61 apply (zenon_L1175_); trivial.
% 20.49/20.61 apply (zenon_L1172_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1176_ *)
% 20.49/20.61 assert (zenon_L1177_ : ((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H290 zenon_H53b zenon_H2b9 zenon_H335 zenon_H47b zenon_H51a zenon_H423 zenon_H46d zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H273 zenon_H33e zenon_H1ec zenon_H1eb zenon_H277 zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H23b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.61 apply (zenon_L884_); trivial.
% 20.49/20.61 apply (zenon_L1176_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1177_ *)
% 20.49/20.61 assert (zenon_L1178_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H2e0 zenon_H335 zenon_H1dd zenon_H5 zenon_H6 zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H132 zenon_H12f zenon_H358 zenon_H166 zenon_H183 zenon_H33e zenon_H47 zenon_H4c zenon_H4c2 zenon_H2ab zenon_H265 zenon_H285 zenon_H387 zenon_H23b zenon_H328 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.61 apply (zenon_L732_); trivial.
% 20.49/20.61 apply (zenon_L1026_); trivial.
% 20.49/20.61 (* end of lemma zenon_L1178_ *)
% 20.49/20.61 assert (zenon_L1179_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.61 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_Ha7 zenon_Ha6 zenon_Ha5 zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H65 zenon_H64 zenon_H63 zenon_H8f zenon_H183.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.61 apply (zenon_L979_); trivial.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.61 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.61 apply (zenon_L291_); trivial.
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.61 apply (zenon_L971_); trivial.
% 20.49/20.61 exact (zenon_H15f zenon_H160).
% 20.49/20.61 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.49/20.61 exact (zenon_H1f1 zenon_H1f2).
% 20.49/20.61 exact (zenon_H48a zenon_H48b).
% 20.49/20.62 apply (zenon_L91_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1179_ *)
% 20.49/20.62 assert (zenon_L1180_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_Hc5 zenon_H358 zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H183 zenon_H338 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e zenon_H93 zenon_H8f zenon_H8c zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.62 apply (zenon_L39_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.49/20.62 apply (zenon_L561_); trivial.
% 20.49/20.62 apply (zenon_L1179_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1180_ *)
% 20.49/20.62 assert (zenon_L1181_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H8f zenon_H93 zenon_H33e zenon_H338 zenon_H183 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_H166 zenon_H48a zenon_H48c zenon_H358 zenon_Hc5.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.62 apply (zenon_L1180_); trivial.
% 20.49/20.62 apply (zenon_L576_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1181_ *)
% 20.49/20.62 assert (zenon_L1182_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.62 apply (zenon_L777_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.62 apply (zenon_L958_); trivial.
% 20.49/20.62 apply (zenon_L1181_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1182_ *)
% 20.49/20.62 assert (zenon_L1183_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H332 zenon_H23b zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H4c2 zenon_H423 zenon_H51a zenon_H387.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.62 apply (zenon_L1182_); trivial.
% 20.49/20.62 apply (zenon_L807_); trivial.
% 20.49/20.62 apply (zenon_L816_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1183_ *)
% 20.49/20.62 assert (zenon_L1184_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H53b zenon_H335 zenon_H423 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H4e1 zenon_H4e3 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H273 zenon_H33e zenon_H1ec zenon_H277 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.62 apply (zenon_L926_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.62 apply (zenon_L925_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.62 apply (zenon_L3_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.62 apply (zenon_L1182_); trivial.
% 20.49/20.62 apply (zenon_L937_); trivial.
% 20.49/20.62 apply (zenon_L1165_); trivial.
% 20.49/20.62 apply (zenon_L1183_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1184_ *)
% 20.49/20.62 assert (zenon_L1185_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H242 zenon_H240 zenon_H241 zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H8c zenon_Ha7 zenon_Ha6 zenon_Ha5 zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H65 zenon_H64 zenon_H63 zenon_H8f zenon_H183.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.62 apply (zenon_L979_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.62 apply (zenon_L291_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.62 apply (zenon_L1015_); trivial.
% 20.49/20.62 exact (zenon_H15f zenon_H160).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.49/20.62 exact (zenon_H1f1 zenon_H1f2).
% 20.49/20.62 exact (zenon_H48a zenon_H48b).
% 20.49/20.62 apply (zenon_L91_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1185_ *)
% 20.49/20.62 assert (zenon_L1186_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H241 zenon_H240 zenon_H242 zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.62 apply (zenon_L777_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.62 apply (zenon_L958_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.62 apply (zenon_L39_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.49/20.62 apply (zenon_L286_); trivial.
% 20.49/20.62 apply (zenon_L1185_); trivial.
% 20.49/20.62 apply (zenon_L576_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1186_ *)
% 20.49/20.62 assert (zenon_L1187_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H241 zenon_H240 zenon_H242 zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.62 apply (zenon_L68_); trivial.
% 20.49/20.62 apply (zenon_L1186_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1187_ *)
% 20.49/20.62 assert (zenon_L1188_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H241 zenon_H240 zenon_H242 zenon_H358 zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9 zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.62 apply (zenon_L764_); trivial.
% 20.49/20.62 apply (zenon_L1187_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1188_ *)
% 20.49/20.62 assert (zenon_L1189_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H387 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H4c zenon_H47 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_Hc5 zenon_H358 zenon_H242 zenon_H240 zenon_H241 zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8 zenon_H12f zenon_H132.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.62 apply (zenon_L1188_); trivial.
% 20.49/20.62 apply (zenon_L937_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1189_ *)
% 20.49/20.62 assert (zenon_L1190_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H332 zenon_H23b zenon_H1dd zenon_H2ab zenon_H275 zenon_H132 zenon_H12f zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H241 zenon_H240 zenon_H242 zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_Hc9 zenon_H47 zenon_H4c zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5 zenon_H51a zenon_H387.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.62 apply (zenon_L1091_); trivial.
% 20.49/20.62 apply (zenon_L1187_); trivial.
% 20.49/20.62 apply (zenon_L807_); trivial.
% 20.49/20.62 apply (zenon_L816_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1190_ *)
% 20.49/20.62 assert (zenon_L1191_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H335 zenon_H40d zenon_H423 zenon_Hc0 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H242 zenon_H240 zenon_H241 zenon_H48c zenon_H48a zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H277 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H1dd zenon_H12f zenon_H132 zenon_H23b.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.62 apply (zenon_L928_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.62 apply (zenon_L3_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.62 apply (zenon_L1189_); trivial.
% 20.49/20.62 apply (zenon_L1165_); trivial.
% 20.49/20.62 apply (zenon_L1190_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1191_ *)
% 20.49/20.62 assert (zenon_L1192_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H203 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.62 apply (zenon_L251_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.62 apply (zenon_L643_); trivial.
% 20.49/20.62 apply (zenon_L1164_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1192_ *)
% 20.49/20.62 assert (zenon_L1193_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H203 zenon_H1dd zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.62 apply (zenon_L3_); trivial.
% 20.49/20.62 apply (zenon_L1192_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1193_ *)
% 20.49/20.62 assert (zenon_L1194_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_Hc5 zenon_H273 zenon_H93 zenon_H6c zenon_H2ab zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H1dd zenon_H203 zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.62 apply (zenon_L1193_); trivial.
% 20.49/20.62 apply (zenon_L1043_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1194_ *)
% 20.49/20.62 assert (zenon_L1195_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H3b1 zenon_H53b zenon_H335 zenon_H387 zenon_H273 zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H203 zenon_H277 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H1c3 zenon_H1c7 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.62 apply (zenon_L1041_); trivial.
% 20.49/20.62 apply (zenon_L1194_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1195_ *)
% 20.49/20.62 assert (zenon_L1196_ : (~(hskp13)) -> (hskp13) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H59f zenon_H5a0.
% 20.49/20.62 exact (zenon_H59f zenon_H5a0).
% 20.49/20.62 (* end of lemma zenon_L1196_ *)
% 20.49/20.62 assert (zenon_L1197_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp43)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H5a1 zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H59f zenon_Hee.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H5a2 ].
% 20.49/20.62 apply (zenon_L728_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_H5a0 | zenon_intro zenon_Hef ].
% 20.49/20.62 exact (zenon_H59f zenon_H5a0).
% 20.49/20.62 exact (zenon_Hee zenon_Hef).
% 20.49/20.62 (* end of lemma zenon_L1197_ *)
% 20.49/20.62 assert (zenon_L1198_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1037))) -> (~(hskp38)) -> (c3_1 (a1037)) -> (c0_1 (a1037)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H121 zenon_H1dd zenon_H124 zenon_H2f zenon_H10c zenon_H10e zenon_H8c zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.62 apply (zenon_L1197_); trivial.
% 20.49/20.62 apply (zenon_L149_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1198_ *)
% 20.49/20.62 assert (zenon_L1199_ : ((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H8e zenon_H8c zenon_H101 zenon_H100 zenon_Hff.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_Hc. zenon_intro zenon_H90.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H70. zenon_intro zenon_H91.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H71. zenon_intro zenon_H6f.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.49/20.62 apply (zenon_L61_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.49/20.62 apply (zenon_L30_); trivial.
% 20.49/20.62 apply (zenon_L64_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1199_ *)
% 20.49/20.62 assert (zenon_L1200_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H93 zenon_H8c zenon_Hff zenon_H101 zenon_H100 zenon_H60 zenon_Hc zenon_H63 zenon_H64 zenon_H65 zenon_H6c.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.49/20.62 apply (zenon_L25_); trivial.
% 20.49/20.62 apply (zenon_L1199_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1200_ *)
% 20.49/20.62 assert (zenon_L1201_ : (forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53))))) -> (ndr1_0) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H5a3 zenon_Hc zenon_H4aa zenon_H4ab zenon_H4ac.
% 20.49/20.62 generalize (zenon_H5a3 (a1043)). zenon_intro zenon_H5a4.
% 20.49/20.62 apply (zenon_imply_s _ _ zenon_H5a4); [ zenon_intro zenon_Hb | zenon_intro zenon_H5a5 ].
% 20.49/20.62 exact (zenon_Hb zenon_Hc).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5a5); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H5a6 ].
% 20.49/20.62 exact (zenon_H4aa zenon_H4b1).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H4b2 | zenon_intro zenon_H4b0 ].
% 20.49/20.62 exact (zenon_H4b2 zenon_H4ab).
% 20.49/20.62 exact (zenon_H4ac zenon_H4b0).
% 20.49/20.62 (* end of lemma zenon_L1201_ *)
% 20.49/20.62 assert (zenon_L1202_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a1064))) -> (~(c1_1 (a1064))) -> (c2_1 (a1064)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H267 zenon_Hc zenon_H49b zenon_H5a7 zenon_H49a.
% 20.49/20.62 generalize (zenon_H267 (a1064)). zenon_intro zenon_H5a8.
% 20.49/20.62 apply (zenon_imply_s _ _ zenon_H5a8); [ zenon_intro zenon_Hb | zenon_intro zenon_H5a9 ].
% 20.49/20.62 exact (zenon_Hb zenon_Hc).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5a9); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H5aa ].
% 20.49/20.62 exact (zenon_H49b zenon_H4a0).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5aa); [ zenon_intro zenon_H5ab | zenon_intro zenon_H4a1 ].
% 20.49/20.62 exact (zenon_H5a7 zenon_H5ab).
% 20.49/20.62 exact (zenon_H4a1 zenon_H49a).
% 20.49/20.62 (* end of lemma zenon_L1202_ *)
% 20.49/20.62 assert (zenon_L1203_ : (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H5ac zenon_Hc zenon_H499 zenon_H267 zenon_H49b zenon_H49a.
% 20.49/20.62 generalize (zenon_H5ac (a1064)). zenon_intro zenon_H5ad.
% 20.49/20.62 apply (zenon_imply_s _ _ zenon_H5ad); [ zenon_intro zenon_Hb | zenon_intro zenon_H5ae ].
% 20.49/20.62 exact (zenon_Hb zenon_Hc).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5ae); [ zenon_intro zenon_H49f | zenon_intro zenon_H5af ].
% 20.49/20.62 exact (zenon_H49f zenon_H499).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5af); [ zenon_intro zenon_H5a7 | zenon_intro zenon_H4a0 ].
% 20.49/20.62 apply (zenon_L1202_); trivial.
% 20.49/20.62 exact (zenon_H49b zenon_H4a0).
% 20.49/20.62 (* end of lemma zenon_L1203_ *)
% 20.49/20.62 assert (zenon_L1204_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_H5b0 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.62 apply (zenon_L1197_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.62 apply (zenon_L1200_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.62 apply (zenon_L213_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.62 apply (zenon_L1201_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.62 apply (zenon_L244_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.62 apply (zenon_L1203_); trivial.
% 20.49/20.62 apply (zenon_L177_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1204_ *)
% 20.49/20.62 assert (zenon_L1205_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.62 apply (zenon_L1198_); trivial.
% 20.49/20.62 apply (zenon_L1204_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1205_ *)
% 20.49/20.62 assert (zenon_L1206_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.62 apply (zenon_L68_); trivial.
% 20.49/20.62 apply (zenon_L1205_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1206_ *)
% 20.49/20.62 assert (zenon_L1207_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H2d8 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.62 apply (zenon_L764_); trivial.
% 20.49/20.62 apply (zenon_L1206_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1207_ *)
% 20.49/20.62 assert (zenon_L1208_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H2e0 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H273 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.62 apply (zenon_L732_); trivial.
% 20.49/20.62 apply (zenon_L1207_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1208_ *)
% 20.49/20.62 assert (zenon_L1209_ : ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp48)) -> (~(c1_1 (a1045))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (~(c0_1 (a1045))) -> (ndr1_0) -> (~(hskp14)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H5b2 zenon_H2f6 zenon_H1be zenon_H4e9 zenon_H1a2 zenon_Hc zenon_H31.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5b2); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H5b3 ].
% 20.49/20.62 exact (zenon_H2f6 zenon_H2f7).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b4 | zenon_intro zenon_H32 ].
% 20.49/20.62 generalize (zenon_H5b4 (a1045)). zenon_intro zenon_H5b5.
% 20.49/20.62 apply (zenon_imply_s _ _ zenon_H5b5); [ zenon_intro zenon_Hb | zenon_intro zenon_H5b6 ].
% 20.49/20.62 exact (zenon_Hb zenon_Hc).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H5b7 ].
% 20.49/20.62 exact (zenon_H1a2 zenon_H1a7).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H5b7); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1c2 ].
% 20.49/20.62 generalize (zenon_H4e9 (a1045)). zenon_intro zenon_H4ea.
% 20.49/20.62 apply (zenon_imply_s _ _ zenon_H4ea); [ zenon_intro zenon_Hb | zenon_intro zenon_H4eb ].
% 20.49/20.62 exact (zenon_Hb zenon_Hc).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H4eb); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H4ec ].
% 20.49/20.62 exact (zenon_H1a1 zenon_H1a8).
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H4ec); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1c2 ].
% 20.49/20.62 exact (zenon_H1a2 zenon_H1a7).
% 20.49/20.62 exact (zenon_H1be zenon_H1c2).
% 20.49/20.62 exact (zenon_H1be zenon_H1c2).
% 20.49/20.62 exact (zenon_H31 zenon_H32).
% 20.49/20.62 (* end of lemma zenon_L1209_ *)
% 20.49/20.62 assert (zenon_L1210_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (c0_1 (a1053)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33))))) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H166 zenon_H3d zenon_H3c zenon_H4fc zenon_H3e zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H19f zenon_Hc zenon_H15f.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.62 apply (zenon_L1005_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.62 apply (zenon_L107_); trivial.
% 20.49/20.62 exact (zenon_H15f zenon_H160).
% 20.49/20.62 (* end of lemma zenon_L1210_ *)
% 20.49/20.62 assert (zenon_L1211_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp57)) -> (ndr1_0) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp48)) -> (~(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H1c7 zenon_H15f zenon_Hc zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H3e zenon_H3c zenon_H3d zenon_H166 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5b2 zenon_H2f6 zenon_H31 zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.62 apply (zenon_L1209_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.62 apply (zenon_L1158_); trivial.
% 20.49/20.62 apply (zenon_L1210_); trivial.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.49/20.62 exact (zenon_H1c3 zenon_H1c4).
% 20.49/20.62 exact (zenon_H1c5 zenon_H1c6).
% 20.49/20.62 (* end of lemma zenon_L1211_ *)
% 20.49/20.62 assert (zenon_L1212_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1045)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H5a zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H1a0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H1a2 zenon_H1be zenon_H31 zenon_H5b2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.62 apply (zenon_L1211_); trivial.
% 20.49/20.62 apply (zenon_L89_); trivial.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.62 apply (zenon_L1211_); trivial.
% 20.49/20.62 apply (zenon_L91_); trivial.
% 20.49/20.62 apply (zenon_L305_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1212_ *)
% 20.49/20.62 assert (zenon_L1213_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H1ce zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H2f zenon_H31 zenon_H33.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.49/20.62 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.49/20.62 apply (zenon_L14_); trivial.
% 20.49/20.62 apply (zenon_L1212_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1213_ *)
% 20.49/20.62 assert (zenon_L1214_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.49/20.62 do 0 intro. intros zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H2f zenon_H31 zenon_H33 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.49/20.62 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.62 apply (zenon_L77_); trivial.
% 20.49/20.62 apply (zenon_L1213_); trivial.
% 20.49/20.62 (* end of lemma zenon_L1214_ *)
% 20.49/20.62 assert (zenon_L1215_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H359 zenon_H1dd zenon_Hff zenon_H100 zenon_H101 zenon_H8c zenon_H2f zenon_H1df zenon_H1e0 zenon_H1e1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.49/20.63 apply (zenon_L562_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.49/20.63 exact (zenon_H2f zenon_H30).
% 20.49/20.63 apply (zenon_L120_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1215_ *)
% 20.49/20.63 assert (zenon_L1216_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp34)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H11b zenon_H358 zenon_H1dd zenon_H2f zenon_H8c zenon_H338 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H33e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.49/20.63 apply (zenon_L561_); trivial.
% 20.49/20.63 apply (zenon_L1215_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1216_ *)
% 20.49/20.63 assert (zenon_L1217_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H1e8 zenon_H121 zenon_H358 zenon_H1dd zenon_H2f zenon_H8c zenon_H338 zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.63 apply (zenon_L1197_); trivial.
% 20.49/20.63 apply (zenon_L1216_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1217_ *)
% 20.49/20.63 assert (zenon_L1218_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H338 zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_H2f zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.63 apply (zenon_L1214_); trivial.
% 20.49/20.63 apply (zenon_L1217_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1218_ *)
% 20.49/20.63 assert (zenon_L1219_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H338 zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_H2f zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.63 apply (zenon_L73_); trivial.
% 20.49/20.63 apply (zenon_L1218_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1219_ *)
% 20.49/20.63 assert (zenon_L1220_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H5ac zenon_Hc zenon_H2af zenon_H592 zenon_H2ae zenon_H2ad.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.63 apply (zenon_L201_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.63 apply (zenon_L1203_); trivial.
% 20.49/20.63 apply (zenon_L1149_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1220_ *)
% 20.49/20.63 assert (zenon_L1221_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(hskp34)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hbf zenon_H59a zenon_H2ad zenon_H2ae zenon_H2af zenon_H499 zenon_H49b zenon_H49a zenon_H8c zenon_H273 zenon_H5b0 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H338.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H59a); [ zenon_intro zenon_H592 | zenon_intro zenon_H59b ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.63 apply (zenon_L213_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.63 apply (zenon_L1201_); trivial.
% 20.49/20.63 apply (zenon_L1220_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H59b); [ zenon_intro zenon_H596 | zenon_intro zenon_H339 ].
% 20.49/20.63 apply (zenon_L1151_); trivial.
% 20.49/20.63 exact (zenon_H338 zenon_H339).
% 20.49/20.63 (* end of lemma zenon_L1221_ *)
% 20.49/20.63 assert (zenon_L1222_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H49a zenon_H49b zenon_H499 zenon_H5b0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L39_); trivial.
% 20.49/20.63 apply (zenon_L1221_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1222_ *)
% 20.49/20.63 assert (zenon_L1223_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H338 zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.63 apply (zenon_L1219_); trivial.
% 20.49/20.63 apply (zenon_L1222_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1223_ *)
% 20.49/20.63 assert (zenon_L1224_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H387 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.63 apply (zenon_L1223_); trivial.
% 20.49/20.63 apply (zenon_L937_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1224_ *)
% 20.49/20.63 assert (zenon_L1225_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H11b zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H49a zenon_H49b zenon_H499 zenon_H5b0 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H93.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L1200_); trivial.
% 20.49/20.63 apply (zenon_L1221_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1225_ *)
% 20.49/20.63 assert (zenon_L1226_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.63 apply (zenon_L1197_); trivial.
% 20.49/20.63 apply (zenon_L1225_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1226_ *)
% 20.49/20.63 assert (zenon_L1227_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.63 apply (zenon_L1198_); trivial.
% 20.49/20.63 apply (zenon_L1226_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1227_ *)
% 20.49/20.63 assert (zenon_L1228_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.63 apply (zenon_L68_); trivial.
% 20.49/20.63 apply (zenon_L1227_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1228_ *)
% 20.49/20.63 assert (zenon_L1229_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.63 apply (zenon_L764_); trivial.
% 20.49/20.63 apply (zenon_L1228_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1229_ *)
% 20.49/20.63 assert (zenon_L1230_ : (forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53))))) -> (ndr1_0) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (~(c1_1 (a1084))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H5a3 zenon_Hc zenon_H23 zenon_H24 zenon_H25.
% 20.49/20.63 generalize (zenon_H5a3 (a1084)). zenon_intro zenon_H5b8.
% 20.49/20.63 apply (zenon_imply_s _ _ zenon_H5b8); [ zenon_intro zenon_Hb | zenon_intro zenon_H5b9 ].
% 20.49/20.63 exact (zenon_Hb zenon_Hc).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b9); [ zenon_intro zenon_H2c | zenon_intro zenon_H5ba ].
% 20.49/20.63 exact (zenon_H23 zenon_H2c).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5ba); [ zenon_intro zenon_H2d | zenon_intro zenon_H2b ].
% 20.49/20.63 exact (zenon_H2d zenon_H24).
% 20.49/20.63 exact (zenon_H25 zenon_H2b).
% 20.49/20.63 (* end of lemma zenon_L1230_ *)
% 20.49/20.63 assert (zenon_L1231_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H5ac zenon_Hc zenon_H14c zenon_H35e zenon_H35f zenon_H37f.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.63 apply (zenon_L244_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.63 apply (zenon_L1203_); trivial.
% 20.49/20.63 apply (zenon_L322_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1231_ *)
% 20.49/20.63 assert (zenon_L1232_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H5ac zenon_H499 zenon_H49b zenon_H49a zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.63 apply (zenon_L1231_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.63 apply (zenon_L473_); trivial.
% 20.49/20.63 exact (zenon_H15f zenon_H160).
% 20.49/20.63 (* end of lemma zenon_L1232_ *)
% 20.49/20.63 assert (zenon_L1233_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H1f zenon_H183 zenon_H8f zenon_H78 zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H499 zenon_H49b zenon_H49a zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H5b0.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.63 apply (zenon_L213_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.63 apply (zenon_L1230_); trivial.
% 20.49/20.63 apply (zenon_L1232_); trivial.
% 20.49/20.63 apply (zenon_L89_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1233_ *)
% 20.49/20.63 assert (zenon_L1234_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H5ac zenon_H499 zenon_H49b zenon_H49a zenon_H8c zenon_H95 zenon_H94 zenon_H96 zenon_H273 zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.63 apply (zenon_L496_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.63 apply (zenon_L1203_); trivial.
% 20.49/20.63 apply (zenon_L322_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.63 apply (zenon_L473_); trivial.
% 20.49/20.63 exact (zenon_H15f zenon_H160).
% 20.49/20.63 (* end of lemma zenon_L1234_ *)
% 20.49/20.63 assert (zenon_L1235_ : ((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H180 zenon_H8c zenon_H101 zenon_H100 zenon_Hff.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Hc. zenon_intro zenon_H181.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H169. zenon_intro zenon_H182.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H16b. zenon_intro zenon_H16a.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.49/20.63 apply (zenon_L61_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.49/20.63 apply (zenon_L87_); trivial.
% 20.49/20.63 apply (zenon_L64_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1235_ *)
% 20.49/20.63 assert (zenon_L1236_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_Hff zenon_H101 zenon_H100 zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H166 zenon_H22f zenon_H8c zenon_H22e zenon_H230 zenon_H499 zenon_H49b zenon_H49a zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H5b0.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.63 apply (zenon_L213_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.63 apply (zenon_L1201_); trivial.
% 20.49/20.63 apply (zenon_L1234_); trivial.
% 20.49/20.63 apply (zenon_L1235_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1236_ *)
% 20.49/20.63 assert (zenon_L1237_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.63 apply (zenon_L1197_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L1200_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.49/20.63 apply (zenon_L7_); trivial.
% 20.49/20.63 apply (zenon_L1233_); trivial.
% 20.49/20.63 apply (zenon_L1236_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1237_ *)
% 20.49/20.63 assert (zenon_L1238_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.63 apply (zenon_L1198_); trivial.
% 20.49/20.63 apply (zenon_L1237_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1238_ *)
% 20.49/20.63 assert (zenon_L1239_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.63 apply (zenon_L68_); trivial.
% 20.49/20.63 apply (zenon_L1238_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1239_ *)
% 20.49/20.63 assert (zenon_L1240_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H237 zenon_H387 zenon_Ha3 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.63 apply (zenon_L1229_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.63 apply (zenon_L764_); trivial.
% 20.49/20.63 apply (zenon_L1239_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1240_ *)
% 20.49/20.63 assert (zenon_L1241_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H387 zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.63 apply (zenon_L1223_); trivial.
% 20.49/20.63 apply (zenon_L807_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1241_ *)
% 20.49/20.63 assert (zenon_L1242_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hbf zenon_Ha3 zenon_Hff zenon_H101 zenon_H100 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H499 zenon_H49b zenon_H49a zenon_H5b0 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.63 apply (zenon_L811_); trivial.
% 20.49/20.63 apply (zenon_L1236_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1242_ *)
% 20.49/20.63 assert (zenon_L1243_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H11b zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H499 zenon_H49b zenon_H49a zenon_H5b0 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H93.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L1200_); trivial.
% 20.49/20.63 apply (zenon_L1242_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1243_ *)
% 20.49/20.63 assert (zenon_L1244_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183 zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.63 apply (zenon_L1197_); trivial.
% 20.49/20.63 apply (zenon_L1243_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1244_ *)
% 20.49/20.63 assert (zenon_L1245_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.63 apply (zenon_L1198_); trivial.
% 20.49/20.63 apply (zenon_L1244_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1245_ *)
% 20.49/20.63 assert (zenon_L1246_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.63 apply (zenon_L68_); trivial.
% 20.49/20.63 apply (zenon_L1245_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1246_ *)
% 20.49/20.63 assert (zenon_L1247_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H237 zenon_H387 zenon_Ha3 zenon_H166 zenon_H329 zenon_H32a zenon_H32b zenon_H8f zenon_H183 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.63 apply (zenon_L1229_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.63 apply (zenon_L764_); trivial.
% 20.49/20.63 apply (zenon_L1246_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1247_ *)
% 20.49/20.63 assert (zenon_L1248_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H332 zenon_H23b zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.63 apply (zenon_L1241_); trivial.
% 20.49/20.63 apply (zenon_L1247_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1248_ *)
% 20.49/20.63 assert (zenon_L1249_ : ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H5b0 zenon_Ha7 zenon_Ha5 zenon_Ha6 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H499 zenon_H49b zenon_H49a zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H15f.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.63 apply (zenon_L213_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.63 apply (zenon_L1201_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.63 apply (zenon_L1231_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.63 apply (zenon_L79_); trivial.
% 20.49/20.63 exact (zenon_H15f zenon_H160).
% 20.49/20.63 (* end of lemma zenon_L1249_ *)
% 20.49/20.63 assert (zenon_L1250_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H11b zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H49a zenon_H49b zenon_H499 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H183 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H93.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L1200_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.63 apply (zenon_L1249_); trivial.
% 20.49/20.63 apply (zenon_L89_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.63 apply (zenon_L1249_); trivial.
% 20.49/20.63 apply (zenon_L91_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1250_ *)
% 20.49/20.63 assert (zenon_L1251_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H183 zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.63 apply (zenon_L1197_); trivial.
% 20.49/20.63 apply (zenon_L1250_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1251_ *)
% 20.49/20.63 assert (zenon_L1252_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.63 apply (zenon_L1198_); trivial.
% 20.49/20.63 apply (zenon_L1251_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1252_ *)
% 20.49/20.63 assert (zenon_L1253_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.63 apply (zenon_L68_); trivial.
% 20.49/20.63 apply (zenon_L1252_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1253_ *)
% 20.49/20.63 assert (zenon_L1254_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.63 apply (zenon_L764_); trivial.
% 20.49/20.63 apply (zenon_L1253_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1254_ *)
% 20.49/20.63 assert (zenon_L1255_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H23a zenon_H2b9 zenon_H59a zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H121 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H183 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H166 zenon_H273 zenon_H5b0 zenon_H387.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.63 apply (zenon_L914_); trivial.
% 20.49/20.63 apply (zenon_L1254_); trivial.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.63 apply (zenon_L1229_); trivial.
% 20.49/20.63 apply (zenon_L1254_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1255_ *)
% 20.49/20.63 assert (zenon_L1256_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H40a zenon_Hc zenon_H49a zenon_H499 zenon_H49b.
% 20.49/20.63 generalize (zenon_H40a (a1064)). zenon_intro zenon_H5bb.
% 20.49/20.63 apply (zenon_imply_s _ _ zenon_H5bb); [ zenon_intro zenon_Hb | zenon_intro zenon_H5bc ].
% 20.49/20.63 exact (zenon_Hb zenon_Hc).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H4a1 | zenon_intro zenon_H5bd ].
% 20.49/20.63 exact (zenon_H4a1 zenon_H49a).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H49f | zenon_intro zenon_H4a0 ].
% 20.49/20.63 exact (zenon_H49f zenon_H499).
% 20.49/20.63 exact (zenon_H49b zenon_H4a0).
% 20.49/20.63 (* end of lemma zenon_L1256_ *)
% 20.49/20.63 assert (zenon_L1257_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> (~(hskp47)) -> (ndr1_0) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H40d zenon_H2bb zenon_H2bc zenon_H2ba zenon_H60 zenon_Hc zenon_H49a zenon_H499 zenon_H49b.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.49/20.63 apply (zenon_L588_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.49/20.63 exact (zenon_H60 zenon_H61).
% 20.49/20.63 apply (zenon_L1256_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1257_ *)
% 20.49/20.63 assert (zenon_L1258_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H2d8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H273 zenon_H8c zenon_H2ba zenon_H2bc zenon_H2bb zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L1257_); trivial.
% 20.49/20.63 apply (zenon_L1136_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1258_ *)
% 20.49/20.63 assert (zenon_L1259_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H2e0 zenon_Hc5 zenon_H277 zenon_H275 zenon_H273 zenon_H8c zenon_H2ba zenon_H2bc zenon_H2bb zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.63 apply (zenon_L732_); trivial.
% 20.49/20.63 apply (zenon_L1258_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1259_ *)
% 20.49/20.63 assert (zenon_L1260_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H2ba zenon_H2bc zenon_H2bb zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.63 apply (zenon_L1257_); trivial.
% 20.49/20.63 apply (zenon_L762_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1260_ *)
% 20.49/20.63 assert (zenon_L1261_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H338 zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H33 zenon_H31 zenon_H2f zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.63 apply (zenon_L226_); trivial.
% 20.49/20.63 apply (zenon_L1213_); trivial.
% 20.49/20.63 apply (zenon_L1217_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1261_ *)
% 20.49/20.63 assert (zenon_L1262_ : (forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53))))) -> (ndr1_0) -> (~(c3_1 (a1078))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H5a3 zenon_Hc zenon_H2c3 zenon_H2ba zenon_H2bb.
% 20.49/20.63 generalize (zenon_H5a3 (a1078)). zenon_intro zenon_H5be.
% 20.49/20.63 apply (zenon_imply_s _ _ zenon_H5be); [ zenon_intro zenon_Hb | zenon_intro zenon_H5bf ].
% 20.49/20.63 exact (zenon_Hb zenon_Hc).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5bf); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H5c0 ].
% 20.49/20.63 exact (zenon_H2c3 zenon_H2c6).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c2 ].
% 20.49/20.63 exact (zenon_H2c0 zenon_H2ba).
% 20.49/20.63 exact (zenon_H2bb zenon_H2c2).
% 20.49/20.63 (* end of lemma zenon_L1262_ *)
% 20.49/20.63 assert (zenon_L1263_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H26c zenon_Hc zenon_H2ba zenon_H5a3 zenon_H2bb zenon_H2bc.
% 20.49/20.63 generalize (zenon_H26c (a1078)). zenon_intro zenon_H2c7.
% 20.49/20.63 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_Hb | zenon_intro zenon_H2c8 ].
% 20.49/20.63 exact (zenon_Hb zenon_Hc).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c9 ].
% 20.49/20.63 exact (zenon_H2c0 zenon_H2ba).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c1 ].
% 20.49/20.63 apply (zenon_L1262_); trivial.
% 20.49/20.63 exact (zenon_H2c1 zenon_H2bc).
% 20.49/20.63 (* end of lemma zenon_L1263_ *)
% 20.49/20.63 assert (zenon_L1264_ : ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> False).
% 20.49/20.63 do 0 intro. intros zenon_H5b0 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26c zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_Hc zenon_H2af zenon_H592 zenon_H2ae zenon_H2ad.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.63 apply (zenon_L213_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.63 apply (zenon_L1263_); trivial.
% 20.49/20.63 apply (zenon_L1220_); trivial.
% 20.49/20.63 (* end of lemma zenon_L1264_ *)
% 20.49/20.63 assert (zenon_L1265_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp7)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(hskp34)) -> False).
% 20.49/20.63 do 0 intro. intros zenon_Hbf zenon_H59a zenon_H275 zenon_H5b0 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H273 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H2af zenon_H2ae zenon_H2ad zenon_H277 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H338.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.63 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H59a); [ zenon_intro zenon_H592 | zenon_intro zenon_H59b ].
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.49/20.63 apply (zenon_L201_); trivial.
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.49/20.63 apply (zenon_L1264_); trivial.
% 20.49/20.63 exact (zenon_H275 zenon_H276).
% 20.49/20.63 apply (zenon_or_s _ _ zenon_H59b); [ zenon_intro zenon_H596 | zenon_intro zenon_H339 ].
% 20.49/20.64 apply (zenon_L1151_); trivial.
% 20.49/20.64 exact (zenon_H338 zenon_H339).
% 20.49/20.64 (* end of lemma zenon_L1265_ *)
% 20.49/20.64 assert (zenon_L1266_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H11b zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H499 zenon_H49b zenon_H49a zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H93.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.64 apply (zenon_L1200_); trivial.
% 20.49/20.64 apply (zenon_L1265_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1266_ *)
% 20.49/20.64 assert (zenon_L1267_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.64 apply (zenon_L1197_); trivial.
% 20.49/20.64 apply (zenon_L1266_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1267_ *)
% 20.49/20.64 assert (zenon_L1268_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H338 zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.64 apply (zenon_L1261_); trivial.
% 20.49/20.64 apply (zenon_L1267_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1268_ *)
% 20.49/20.64 assert (zenon_L1269_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H387 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2ab zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H93 zenon_H6c zenon_H277 zenon_H275 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.64 apply (zenon_L1268_); trivial.
% 20.49/20.64 apply (zenon_L937_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1269_ *)
% 20.49/20.64 assert (zenon_L1270_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H387 zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H93 zenon_H6c zenon_H277 zenon_H275 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.64 apply (zenon_L1268_); trivial.
% 20.49/20.64 apply (zenon_L807_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1270_ *)
% 20.49/20.64 assert (zenon_L1271_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H332 zenon_H23b zenon_H2ab zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.64 apply (zenon_L1270_); trivial.
% 20.49/20.64 apply (zenon_L1247_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1271_ *)
% 20.49/20.64 assert (zenon_L1272_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.64 apply (zenon_L1198_); trivial.
% 20.49/20.64 apply (zenon_L1267_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1272_ *)
% 20.49/20.64 assert (zenon_L1273_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.64 apply (zenon_L68_); trivial.
% 20.49/20.64 apply (zenon_L1272_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1273_ *)
% 20.49/20.64 assert (zenon_L1274_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.64 apply (zenon_L764_); trivial.
% 20.49/20.64 apply (zenon_L1273_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1274_ *)
% 20.49/20.64 assert (zenon_L1275_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H23a zenon_H2b9 zenon_H387 zenon_Ha3 zenon_H166 zenon_H8f zenon_H183 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H277 zenon_H273 zenon_H5b0 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_Hc8 zenon_H12f zenon_H132 zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H2bb zenon_H2bc zenon_H2ba zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.64 apply (zenon_L1260_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.64 apply (zenon_L1274_); trivial.
% 20.49/20.64 apply (zenon_L1254_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1275_ *)
% 20.49/20.64 assert (zenon_L1276_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H9 zenon_H5b0 zenon_H273 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H183 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.64 apply (zenon_L354_); trivial.
% 20.49/20.64 apply (zenon_L1239_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1276_ *)
% 20.49/20.64 assert (zenon_L1277_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_Ha3 zenon_H166 zenon_H8f zenon_H183 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.64 apply (zenon_L251_); trivial.
% 20.49/20.64 apply (zenon_L1247_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1277_ *)
% 20.49/20.64 assert (zenon_L1278_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H2b6 zenon_H335 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H2e zenon_H183 zenon_H166 zenon_H9 zenon_Hf zenon_H387 zenon_H23b zenon_H328.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.64 apply (zenon_L3_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.64 apply (zenon_L251_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.64 apply (zenon_L1229_); trivial.
% 20.49/20.64 apply (zenon_L1276_); trivial.
% 20.49/20.64 apply (zenon_L1277_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1278_ *)
% 20.49/20.64 assert (zenon_L1279_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H2b9 zenon_H335 zenon_H5 zenon_H6 zenon_H59a zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H5b0 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H121 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H2e zenon_H183 zenon_H166 zenon_H9 zenon_Hf zenon_H387 zenon_H328 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1dd zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.64 apply (zenon_L1040_); trivial.
% 20.49/20.64 apply (zenon_L1278_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1279_ *)
% 20.49/20.64 assert (zenon_L1280_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H3b1 zenon_H2df zenon_H33e zenon_H358 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H1c3 zenon_H1c7 zenon_H328 zenon_H387 zenon_Hf zenon_H166 zenon_H183 zenon_H2e zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H121 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H5b0 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_H6 zenon_H5 zenon_H335 zenon_H2b9.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.49/20.64 apply (zenon_L1279_); trivial.
% 20.49/20.64 apply (zenon_L1255_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1280_ *)
% 20.49/20.64 assert (zenon_L1281_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H4a2 zenon_H3af zenon_H307 zenon_H2f9 zenon_H308 zenon_H2de zenon_H2df zenon_H23b zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H8f zenon_H2a6 zenon_H328 zenon_Hf zenon_H2e zenon_H59a zenon_H137 zenon_H1ed zenon_H319 zenon_H183 zenon_H500 zenon_H166 zenon_H5b2 zenon_H149 zenon_H33e zenon_H358 zenon_H1ec zenon_H1eb zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387 zenon_H6 zenon_H5 zenon_H51a zenon_H423 zenon_H335 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H273 zenon_H5b0 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H2e0 zenon_H277 zenon_H40d zenon_H3b0.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.64 apply (zenon_L1208_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.64 apply (zenon_L928_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.64 apply (zenon_L3_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.64 apply (zenon_L1224_); trivial.
% 20.49/20.64 apply (zenon_L1240_); trivial.
% 20.49/20.64 apply (zenon_L1248_); trivial.
% 20.49/20.64 apply (zenon_L1255_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.64 apply (zenon_L1259_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.64 apply (zenon_L1260_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.64 apply (zenon_L3_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.64 apply (zenon_L1269_); trivial.
% 20.49/20.64 apply (zenon_L1240_); trivial.
% 20.49/20.64 apply (zenon_L1271_); trivial.
% 20.49/20.64 apply (zenon_L1275_); trivial.
% 20.49/20.64 apply (zenon_L1280_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1281_ *)
% 20.49/20.64 assert (zenon_L1282_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H183 zenon_H8c zenon_Hff zenon_H101 zenon_H100 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H35e zenon_H35f zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.64 apply (zenon_L301_); trivial.
% 20.49/20.64 apply (zenon_L1235_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1282_ *)
% 20.49/20.64 assert (zenon_L1283_ : ((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H316 zenon_H8c zenon_H101 zenon_H100 zenon_Hff.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Hc. zenon_intro zenon_H317.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H30b. zenon_intro zenon_H318.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H30a. zenon_intro zenon_H30c.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.49/20.64 apply (zenon_L61_); trivial.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.49/20.64 apply (zenon_L261_); trivial.
% 20.49/20.64 apply (zenon_L64_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1283_ *)
% 20.49/20.64 assert (zenon_L1284_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H11b zenon_H319 zenon_H307 zenon_H2f9 zenon_Hae zenon_H308 zenon_H35f zenon_H35e zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H183.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.49/20.64 apply (zenon_L1282_); trivial.
% 20.49/20.64 apply (zenon_L1283_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1284_ *)
% 20.49/20.64 assert (zenon_L1285_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H121 zenon_H319 zenon_H307 zenon_H2f9 zenon_Hae zenon_H308 zenon_H35f zenon_H35e zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H183 zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.64 apply (zenon_L1197_); trivial.
% 20.49/20.64 apply (zenon_L1284_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1285_ *)
% 20.49/20.64 assert (zenon_L1286_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp42)) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H1f1 zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.64 apply (zenon_L1197_); trivial.
% 20.49/20.64 apply (zenon_L315_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1286_ *)
% 20.49/20.64 assert (zenon_L1287_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.64 apply (zenon_L1286_); trivial.
% 20.49/20.64 apply (zenon_L139_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1287_ *)
% 20.49/20.64 assert (zenon_L1288_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.64 apply (zenon_L68_); trivial.
% 20.49/20.64 apply (zenon_L1287_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1288_ *)
% 20.49/20.64 assert (zenon_L1289_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H47 zenon_H4c zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H10 zenon_H11 zenon_H12 zenon_H308 zenon_H2f9 zenon_H307 zenon_H319 zenon_H121.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.64 apply (zenon_L1285_); trivial.
% 20.49/20.64 apply (zenon_L1288_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1289_ *)
% 20.49/20.64 assert (zenon_L1290_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H325 zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.64 apply (zenon_L1229_); trivial.
% 20.49/20.64 apply (zenon_L1289_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1290_ *)
% 20.49/20.64 assert (zenon_L1291_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H328 zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.64 apply (zenon_L3_); trivial.
% 20.49/20.64 apply (zenon_L1290_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1291_ *)
% 20.49/20.64 assert (zenon_L1292_ : (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H403 zenon_Hc zenon_H4e9 zenon_H342 zenon_H341.
% 20.49/20.64 generalize (zenon_H403 (a1059)). zenon_intro zenon_H5c1.
% 20.49/20.64 apply (zenon_imply_s _ _ zenon_H5c1); [ zenon_intro zenon_Hb | zenon_intro zenon_H5c2 ].
% 20.49/20.64 exact (zenon_Hb zenon_Hc).
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H5c2); [ zenon_intro zenon_H377 | zenon_intro zenon_H5c3 ].
% 20.49/20.64 apply (zenon_L1056_); trivial.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H347 | zenon_intro zenon_H348 ].
% 20.49/20.64 exact (zenon_H347 zenon_H342).
% 20.49/20.64 exact (zenon_H341 zenon_H348).
% 20.49/20.64 (* end of lemma zenon_L1292_ *)
% 20.49/20.64 assert (zenon_L1293_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (c0_1 (a1053)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H166 zenon_H3d zenon_H3c zenon_H4fc zenon_H3e zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.64 apply (zenon_L1005_); trivial.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.64 apply (zenon_L292_); trivial.
% 20.49/20.64 exact (zenon_H15f zenon_H160).
% 20.49/20.64 (* end of lemma zenon_L1293_ *)
% 20.49/20.64 assert (zenon_L1294_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp57)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c0_1 (a1084)) -> (~(c3_1 (a1084))) -> (~(c1_1 (a1084))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (ndr1_0) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H40d zenon_H15f zenon_H342 zenon_H340 zenon_H341 zenon_H3e zenon_H3c zenon_H3d zenon_H166 zenon_H24 zenon_H23 zenon_H25 zenon_H500 zenon_H60 zenon_Hc zenon_H49a zenon_H499 zenon_H49b.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.64 apply (zenon_L1292_); trivial.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.64 apply (zenon_L940_); trivial.
% 20.49/20.64 apply (zenon_L1293_); trivial.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.49/20.64 exact (zenon_H60 zenon_H61).
% 20.49/20.64 apply (zenon_L1256_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1294_ *)
% 20.49/20.64 assert (zenon_L1295_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> (c3_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H500 zenon_H3e zenon_H3c zenon_H3d zenon_H340 zenon_H166 zenon_H341 zenon_H342 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.49/20.64 apply (zenon_L396_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.64 apply (zenon_L1294_); trivial.
% 20.49/20.64 apply (zenon_L89_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1295_ *)
% 20.49/20.64 assert (zenon_L1296_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1059)) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (c0_1 (a1053)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H93 zenon_Hff zenon_H101 zenon_H100 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H342 zenon_H341 zenon_H166 zenon_H340 zenon_H3d zenon_H3c zenon_H3e zenon_H500 zenon_H78 zenon_H8c zenon_H8f zenon_H183 zenon_H2e.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.49/20.64 apply (zenon_L1295_); trivial.
% 20.49/20.64 apply (zenon_L1199_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1296_ *)
% 20.49/20.64 assert (zenon_L1297_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1073)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (~(c2_1 (a1053))) -> (c3_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(hskp47)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H1f zenon_H183 zenon_H8c zenon_H96 zenon_H95 zenon_H94 zenon_H500 zenon_H3e zenon_H3c zenon_H3d zenon_H340 zenon_H166 zenon_H341 zenon_H342 zenon_H60 zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.64 apply (zenon_L1294_); trivial.
% 20.49/20.64 apply (zenon_L91_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1297_ *)
% 20.49/20.64 assert (zenon_L1298_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1059)) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (c0_1 (a1053)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H342 zenon_H341 zenon_H166 zenon_H340 zenon_H3d zenon_H3c zenon_H3e zenon_H500 zenon_H8c zenon_H183 zenon_H2e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.49/20.64 apply (zenon_L396_); trivial.
% 20.49/20.64 apply (zenon_L1297_); trivial.
% 20.49/20.64 apply (zenon_L37_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1298_ *)
% 20.49/20.64 assert (zenon_L1299_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp36)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_Hc8 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H33 zenon_H31 zenon_Ha3 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H340 zenon_H166 zenon_H341 zenon_H342 zenon_H40d zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hae zenon_Hc0 zenon_Hc5 zenon_Hc9 zenon_H121.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.64 apply (zenon_L1197_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.49/20.64 apply (zenon_L14_); trivial.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.49/20.64 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.64 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.64 apply (zenon_L1296_); trivial.
% 20.49/20.64 apply (zenon_L1298_); trivial.
% 20.49/20.64 apply (zenon_L45_); trivial.
% 20.49/20.64 apply (zenon_L46_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1299_ *)
% 20.49/20.64 assert (zenon_L1300_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H132 zenon_H12f zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H1dd zenon_H47 zenon_H4c zenon_H121 zenon_Hc9 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H40d zenon_H342 zenon_H341 zenon_H166 zenon_H340 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H2e zenon_Ha3 zenon_H31 zenon_H33 zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_Hc8.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.64 apply (zenon_L1299_); trivial.
% 20.49/20.64 apply (zenon_L1228_); trivial.
% 20.49/20.64 (* end of lemma zenon_L1300_ *)
% 20.49/20.64 assert (zenon_L1301_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (c2_1 (a1103)) -> (c1_1 (a1103)) -> (c3_1 (a1103)) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H2a0 zenon_Hc zenon_He2 zenon_He0 zenon_He9.
% 20.49/20.64 generalize (zenon_H2a0 (a1103)). zenon_intro zenon_H5c4.
% 20.49/20.64 apply (zenon_imply_s _ _ zenon_H5c4); [ zenon_intro zenon_Hb | zenon_intro zenon_H5c5 ].
% 20.49/20.64 exact (zenon_Hb zenon_Hc).
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H5c5); [ zenon_intro zenon_He7 | zenon_intro zenon_H5c6 ].
% 20.49/20.64 exact (zenon_He7 zenon_He2).
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_He6 | zenon_intro zenon_Hed ].
% 20.49/20.64 exact (zenon_He6 zenon_He0).
% 20.49/20.64 exact (zenon_Hed zenon_He9).
% 20.49/20.64 (* end of lemma zenon_L1301_ *)
% 20.49/20.64 assert (zenon_L1302_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.64 do 0 intro. intros zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H5ac zenon_H499 zenon_H49b zenon_H49a zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.64 apply (zenon_L1231_); trivial.
% 20.49/20.64 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.64 apply (zenon_L292_); trivial.
% 20.49/20.64 exact (zenon_H15f zenon_H160).
% 20.49/20.64 (* end of lemma zenon_L1302_ *)
% 20.49/20.64 assert (zenon_L1303_ : ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c3_1 (a1056)) -> (c1_1 (a1056)) -> (c2_1 (a1056)) -> (~(c1_1 (a1084))) -> (c0_1 (a1084)) -> (~(c3_1 (a1084))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H5b0 zenon_Ha7 zenon_Ha5 zenon_Ha6 zenon_H25 zenon_H24 zenon_H23 zenon_H166 zenon_H37f zenon_H35f zenon_H35e zenon_H499 zenon_H49b zenon_H49a zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.65 apply (zenon_L213_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.65 apply (zenon_L1230_); trivial.
% 20.49/20.65 apply (zenon_L1302_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1303_ *)
% 20.49/20.65 assert (zenon_L1304_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H1f zenon_H183 zenon_H8f zenon_H78 zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H499 zenon_H49b zenon_H49a zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H5b0.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.65 apply (zenon_L1303_); trivial.
% 20.49/20.65 apply (zenon_L89_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1304_ *)
% 20.49/20.65 assert (zenon_L1305_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H2e zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_Hfb zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H49a zenon_H49b zenon_H499 zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H78 zenon_H8f zenon_H183.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.49/20.65 apply (zenon_L51_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hc. zenon_intro zenon_Hf2.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_He2. zenon_intro zenon_Hf3.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_He9. zenon_intro zenon_He0.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.65 apply (zenon_L1301_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.65 apply (zenon_L1201_); trivial.
% 20.49/20.65 apply (zenon_L1302_); trivial.
% 20.49/20.65 apply (zenon_L89_); trivial.
% 20.49/20.65 apply (zenon_L1304_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1305_ *)
% 20.49/20.65 assert (zenon_L1306_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H183 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H4aa zenon_H4ab zenon_H4ac zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H499 zenon_H49b zenon_H49a zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H5b0 zenon_Hfb zenon_H2e zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.65 apply (zenon_L39_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.65 apply (zenon_L1305_); trivial.
% 20.49/20.65 apply (zenon_L324_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1306_ *)
% 20.49/20.65 assert (zenon_L1307_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H183 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H4aa zenon_H4ab zenon_H4ac zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H5b0 zenon_Hfb zenon_H2e zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.65 apply (zenon_L1198_); trivial.
% 20.49/20.65 apply (zenon_L1306_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1307_ *)
% 20.49/20.65 assert (zenon_L1308_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H183 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H4aa zenon_H4ab zenon_H4ac zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H5b0 zenon_Hfb zenon_H2e zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.65 apply (zenon_L68_); trivial.
% 20.49/20.65 apply (zenon_L1307_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1308_ *)
% 20.49/20.65 assert (zenon_L1309_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H183 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H4aa zenon_H4ab zenon_H4ac zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H273 zenon_H5b0 zenon_Hfb zenon_H2e zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.65 apply (zenon_L217_); trivial.
% 20.49/20.65 apply (zenon_L1308_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1309_ *)
% 20.49/20.65 assert (zenon_L1310_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H332 zenon_H387 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_Hc8 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33 zenon_H31 zenon_Ha3 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H340 zenon_H166 zenon_H341 zenon_H342 zenon_H40d zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc9 zenon_H121 zenon_H4c zenon_H47 zenon_H1dd zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_H12f zenon_H132.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.65 apply (zenon_L1300_); trivial.
% 20.49/20.65 apply (zenon_L1309_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1310_ *)
% 20.49/20.65 assert (zenon_L1311_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H6c zenon_H93 zenon_H1dd zenon_H47 zenon_H4c zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H10 zenon_H11 zenon_H12 zenon_H308 zenon_H2f9 zenon_H307 zenon_H319 zenon_H121.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.65 apply (zenon_L1285_); trivial.
% 20.49/20.65 apply (zenon_L1253_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1311_ *)
% 20.49/20.65 assert (zenon_L1312_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp57)) -> (ndr1_0) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (~(c1_1 (a1053))) -> (c0_1 (a1053)) -> (~(c2_1 (a1053))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H165 zenon_H15f zenon_Hc zenon_H342 zenon_H340 zenon_H341 zenon_H3c zenon_H3e zenon_H3d zenon_H166 zenon_H161 zenon_H163.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.65 apply (zenon_L78_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.65 apply (zenon_L292_); trivial.
% 20.49/20.65 exact (zenon_H15f zenon_H160).
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.49/20.65 exact (zenon_H161 zenon_H162).
% 20.49/20.65 exact (zenon_H163 zenon_H164).
% 20.49/20.65 (* end of lemma zenon_L1312_ *)
% 20.49/20.65 assert (zenon_L1313_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H5a zenon_H183 zenon_H8c zenon_Hff zenon_H101 zenon_H100 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H161 zenon_H163 zenon_H165.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.65 apply (zenon_L1312_); trivial.
% 20.49/20.65 apply (zenon_L1235_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1313_ *)
% 20.49/20.65 assert (zenon_L1314_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1049)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8f zenon_H33 zenon_H31 zenon_H2f zenon_H165 zenon_H161 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H100 zenon_H101 zenon_Hff zenon_H8c zenon_H183 zenon_Hc9.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.49/20.65 apply (zenon_L14_); trivial.
% 20.49/20.65 apply (zenon_L1313_); trivial.
% 20.49/20.65 apply (zenon_L100_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1314_ *)
% 20.49/20.65 assert (zenon_L1315_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H41a zenon_Hc zenon_H14c zenon_H1ad zenon_H1af zenon_H1b7.
% 20.49/20.65 generalize (zenon_H41a (a1051)). zenon_intro zenon_H5c7.
% 20.49/20.65 apply (zenon_imply_s _ _ zenon_H5c7); [ zenon_intro zenon_Hb | zenon_intro zenon_H5c8 ].
% 20.49/20.65 exact (zenon_Hb zenon_Hc).
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H5c8); [ zenon_intro zenon_H1ae | zenon_intro zenon_H5c9 ].
% 20.49/20.65 apply (zenon_L104_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H5c9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1b4 ].
% 20.49/20.65 exact (zenon_H1bb zenon_H1b7).
% 20.49/20.65 exact (zenon_H1af zenon_H1b4).
% 20.49/20.65 (* end of lemma zenon_L1315_ *)
% 20.49/20.65 assert (zenon_L1316_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H166 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H41a zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.65 apply (zenon_L1315_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.65 apply (zenon_L292_); trivial.
% 20.49/20.65 exact (zenon_H15f zenon_H160).
% 20.49/20.65 (* end of lemma zenon_L1316_ *)
% 20.49/20.65 assert (zenon_L1317_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H329 zenon_H32a zenon_H32b zenon_H403 zenon_H166 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.49/20.65 apply (zenon_L803_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.49/20.65 apply (zenon_L823_); trivial.
% 20.49/20.65 apply (zenon_L1316_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1317_ *)
% 20.49/20.65 assert (zenon_L1318_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp57)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp47)) -> (ndr1_0) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H40d zenon_H15f zenon_H342 zenon_H340 zenon_H341 zenon_H1ad zenon_H1af zenon_H1b7 zenon_H166 zenon_H32b zenon_H32a zenon_H329 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H60 zenon_Hc zenon_H49a zenon_H499 zenon_H49b.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.49/20.65 apply (zenon_L1317_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.49/20.65 exact (zenon_H60 zenon_H61).
% 20.49/20.65 apply (zenon_L1256_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1318_ *)
% 20.49/20.65 assert (zenon_L1319_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp47)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H183 zenon_H8c zenon_Hff zenon_H101 zenon_H100 zenon_H423 zenon_H1ad zenon_H1af zenon_H1b7 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H60 zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.65 apply (zenon_L1318_); trivial.
% 20.49/20.65 apply (zenon_L1235_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1319_ *)
% 20.49/20.65 assert (zenon_L1320_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.49/20.65 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Hae zenon_H8c zenon_H101 zenon_H100 zenon_Hff.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ].
% 20.49/20.65 apply (zenon_L40_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb0 ].
% 20.49/20.65 exact (zenon_Hae zenon_Haf).
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.49/20.65 apply (zenon_L61_); trivial.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.49/20.65 apply (zenon_L43_); trivial.
% 20.49/20.65 apply (zenon_L64_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1320_ *)
% 20.49/20.65 assert (zenon_L1321_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1049)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H423 zenon_H100 zenon_H101 zenon_Hff zenon_H8c zenon_H183.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.65 apply (zenon_L1319_); trivial.
% 20.49/20.65 apply (zenon_L1320_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1321_ *)
% 20.49/20.65 assert (zenon_L1322_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp36)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H121 zenon_H1cf zenon_Hc5 zenon_Hc0 zenon_Hae zenon_H40d zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H2f zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.65 apply (zenon_L1197_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.49/20.65 apply (zenon_L1314_); trivial.
% 20.49/20.65 apply (zenon_L1321_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1322_ *)
% 20.49/20.65 assert (zenon_L1323_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H37c zenon_H132 zenon_H12f zenon_H1dd zenon_H47 zenon_H4c zenon_H121 zenon_H1cf zenon_Hc5 zenon_Hc0 zenon_H40d zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H4aa zenon_H4ab zenon_H4ac zenon_H158 zenon_H157 zenon_H156 zenon_H273 zenon_H5b0 zenon_Hc8.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.65 apply (zenon_L1322_); trivial.
% 20.49/20.65 apply (zenon_L1251_); trivial.
% 20.49/20.65 apply (zenon_L1253_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1323_ *)
% 20.49/20.65 assert (zenon_L1324_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H332 zenon_H387 zenon_H121 zenon_H1cf zenon_Hc0 zenon_H40d zenon_H423 zenon_Hc9 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H158 zenon_H157 zenon_H156 zenon_H273 zenon_H5b0 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.65 apply (zenon_L914_); trivial.
% 20.49/20.65 apply (zenon_L1323_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1324_ *)
% 20.49/20.65 assert (zenon_L1325_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H2b6 zenon_H335 zenon_H1cf zenon_Hc0 zenon_H40d zenon_H423 zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H8f zenon_H158 zenon_H157 zenon_H156 zenon_Ha3 zenon_H387 zenon_H328.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.65 apply (zenon_L3_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.65 apply (zenon_L1229_); trivial.
% 20.49/20.65 apply (zenon_L1311_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.65 apply (zenon_L1229_); trivial.
% 20.49/20.65 apply (zenon_L1323_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1325_ *)
% 20.49/20.65 assert (zenon_L1326_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H23a zenon_H2b9 zenon_H59a zenon_H328 zenon_H387 zenon_H5b0 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H319 zenon_H121 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H423 zenon_H40d zenon_Hc0 zenon_H1cf zenon_H335.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.65 apply (zenon_L3_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.65 apply (zenon_L914_); trivial.
% 20.49/20.65 apply (zenon_L1311_); trivial.
% 20.49/20.65 apply (zenon_L1324_); trivial.
% 20.49/20.65 apply (zenon_L1325_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1326_ *)
% 20.49/20.65 assert (zenon_L1327_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H4a2 zenon_H2de zenon_H2df zenon_H19e zenon_H165 zenon_H423 zenon_H1cf zenon_H335 zenon_H5 zenon_H6 zenon_H8f zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H358 zenon_H319 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H308 zenon_H2f9 zenon_H307 zenon_H219 zenon_H215 zenon_H212 zenon_H203 zenon_H387 zenon_H328 zenon_H59a zenon_Hc9 zenon_Hc0 zenon_Hfb zenon_Hcc zenon_Hf zenon_Hdc zenon_H40d zenon_H500 zenon_H2e zenon_H31 zenon_H33 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H273 zenon_H5b0 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H2e0.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.65 apply (zenon_L1208_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.65 apply (zenon_L350_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.65 apply (zenon_L1291_); trivial.
% 20.49/20.65 apply (zenon_L1310_); trivial.
% 20.49/20.65 apply (zenon_L1326_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1327_ *)
% 20.49/20.65 assert (zenon_L1328_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H4a5 zenon_H19e zenon_H165 zenon_H1cf zenon_Hfb zenon_Hcc zenon_Hdc zenon_H3af zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H2de zenon_H293 zenon_H3b zenon_H5b zenon_H56b zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48c zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H273 zenon_H265 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H1c7 zenon_H423 zenon_H40d zenon_H23b zenon_H335 zenon_H203 zenon_H1ec zenon_H59a zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_Hc9 zenon_H46d zenon_H51a zenon_H47b zenon_H53b zenon_H2e0 zenon_Hc0 zenon_H3b0 zenon_H5b0 zenon_H5a1 zenon_H59f zenon_H121 zenon_H5b2 zenon_H2e zenon_Hf zenon_H2df zenon_H4a6.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.65 apply (zenon_L732_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.65 apply (zenon_L919_); trivial.
% 20.49/20.65 apply (zenon_L1173_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.65 apply (zenon_L926_); trivial.
% 20.49/20.65 apply (zenon_L1176_); trivial.
% 20.49/20.65 apply (zenon_L1177_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.65 apply (zenon_L1178_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.49/20.65 apply (zenon_L1184_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.65 apply (zenon_L884_); trivial.
% 20.49/20.65 apply (zenon_L1191_); trivial.
% 20.49/20.65 apply (zenon_L1195_); trivial.
% 20.49/20.65 apply (zenon_L1281_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.65 apply (zenon_L1071_); trivial.
% 20.49/20.65 apply (zenon_L1327_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1328_ *)
% 20.49/20.65 assert (zenon_L1329_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp2)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H2e0 zenon_H53b zenon_Hc0 zenon_H4e1 zenon_H51a zenon_H319 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2f9 zenon_H307 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H19e zenon_H590 zenon_H165 zenon_H58b zenon_H1cf zenon_H1ec zenon_H335 zenon_H23b zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.65 apply (zenon_L732_); trivial.
% 20.49/20.65 apply (zenon_L1095_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1329_ *)
% 20.49/20.65 assert (zenon_L1330_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H328 zenon_H23b zenon_Hc8 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H277 zenon_H1dd zenon_H8f zenon_H8c zenon_Ha3 zenon_H275 zenon_H2ab zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.65 apply (zenon_L3_); trivial.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.65 apply (zenon_L1106_); trivial.
% 20.49/20.65 apply (zenon_L1165_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1330_ *)
% 20.49/20.65 assert (zenon_L1331_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_H93 zenon_H6c zenon_H33e zenon_H358 zenon_H40d zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319 zenon_H2ab zenon_H275 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1dd zenon_H277 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_Hc8 zenon_H23b zenon_H328.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.65 apply (zenon_L1330_); trivial.
% 20.49/20.65 apply (zenon_L1112_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1331_ *)
% 20.49/20.65 assert (zenon_L1332_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H53b zenon_H40d zenon_H203 zenon_H56b zenon_H277 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_H335 zenon_H5 zenon_H6 zenon_H387 zenon_H137 zenon_H135 zenon_H138 zenon_H285 zenon_H273 zenon_H265 zenon_H1eb zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H23b zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.65 apply (zenon_L1101_); trivial.
% 20.49/20.65 apply (zenon_L1331_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1332_ *)
% 20.49/20.65 assert (zenon_L1333_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H325 zenon_H23b zenon_Hc8 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H277 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.65 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.65 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.65 apply (zenon_L1119_); trivial.
% 20.49/20.65 apply (zenon_L1165_); trivial.
% 20.49/20.65 (* end of lemma zenon_L1333_ *)
% 20.49/20.65 assert (zenon_L1334_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.65 do 0 intro. intros zenon_H328 zenon_H23b zenon_Hc8 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H277 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H4c zenon_H47 zenon_H285 zenon_H56b zenon_H203 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.66 apply (zenon_L3_); trivial.
% 20.49/20.66 apply (zenon_L1333_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1334_ *)
% 20.49/20.66 assert (zenon_L1335_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H285 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.49/20.66 apply (zenon_L543_); trivial.
% 20.49/20.66 apply (zenon_L427_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1335_ *)
% 20.49/20.66 assert (zenon_L1336_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H12f zenon_H132 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H273 zenon_H285.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.66 apply (zenon_L1335_); trivial.
% 20.49/20.66 apply (zenon_L816_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1336_ *)
% 20.49/20.66 assert (zenon_L1337_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_Hc5 zenon_H93 zenon_H6c zenon_H33e zenon_H358 zenon_H273 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H39a zenon_H3a6 zenon_H39b zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H277 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_Hc8 zenon_H23b zenon_H328.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.66 apply (zenon_L1334_); trivial.
% 20.49/20.66 apply (zenon_L1336_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1337_ *)
% 20.49/20.66 assert (zenon_L1338_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H3ab zenon_H53b zenon_H335 zenon_H387 zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H203 zenon_H56b zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_H328 zenon_H23b zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H4c zenon_H47 zenon_H1eb zenon_Ha3 zenon_H1dd zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H273 zenon_H2a6 zenon_H8f zenon_H285 zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H277 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.66 apply (zenon_L1114_); trivial.
% 20.49/20.66 apply (zenon_L1337_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1338_ *)
% 20.49/20.66 assert (zenon_L1339_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H2db zenon_H3ae zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48a zenon_H48c zenon_H328 zenon_H23b zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H319 zenon_H398 zenon_H1c7 zenon_H1c3 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1eb zenon_H265 zenon_H273 zenon_H285 zenon_H138 zenon_H135 zenon_H137 zenon_H387 zenon_H6 zenon_H5 zenon_H335 zenon_H183 zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H277 zenon_H56b zenon_H203 zenon_H40d zenon_H53b.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.49/20.66 apply (zenon_L1332_); trivial.
% 20.49/20.66 apply (zenon_L1338_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1339_ *)
% 20.49/20.66 assert (zenon_L1340_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H325 zenon_H23b zenon_H219 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H203 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ab zenon_H4c zenon_H47 zenon_Hc5 zenon_H256 zenon_H25e zenon_H255 zenon_H93 zenon_H6c zenon_H1dd zenon_Hc8 zenon_H12f zenon_H23c.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.66 apply (zenon_L1140_); trivial.
% 20.49/20.66 apply (zenon_L1165_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1340_ *)
% 20.49/20.66 assert (zenon_L1341_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H328 zenon_H23b zenon_H219 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H203 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ab zenon_H4c zenon_H47 zenon_Hc5 zenon_H256 zenon_H25e zenon_H255 zenon_H93 zenon_H6c zenon_H1dd zenon_Hc8 zenon_H12f zenon_H23c zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.66 apply (zenon_L3_); trivial.
% 20.49/20.66 apply (zenon_L1340_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1341_ *)
% 20.49/20.66 assert (zenon_L1342_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H51c zenon_H335 zenon_H387 zenon_H33e zenon_H358 zenon_H40d zenon_Hc0 zenon_H5 zenon_H6 zenon_H23c zenon_H12f zenon_Hc8 zenon_H1dd zenon_H6c zenon_H93 zenon_H255 zenon_H25e zenon_H256 zenon_Hc5 zenon_H47 zenon_H4c zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H203 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H500 zenon_H219 zenon_H23b zenon_H328.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.66 apply (zenon_L1341_); trivial.
% 20.49/20.66 apply (zenon_L1144_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1342_ *)
% 20.49/20.66 assert (zenon_L1343_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H2d8 zenon_H53b zenon_H40d zenon_Hc0 zenon_H23c zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H308 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H203 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H500 zenon_H23b zenon_H335 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H285 zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.66 apply (zenon_L1125_); trivial.
% 20.49/20.66 apply (zenon_L1342_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1343_ *)
% 20.49/20.66 assert (zenon_L1344_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H2e0 zenon_H53b zenon_H40d zenon_Hc0 zenon_H23c zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H308 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H203 zenon_H500 zenon_H23b zenon_H335 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H285 zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.66 apply (zenon_L732_); trivial.
% 20.49/20.66 apply (zenon_L1343_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1344_ *)
% 20.49/20.66 assert (zenon_L1345_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H3ab zenon_H53b zenon_H203 zenon_H56b zenon_H307 zenon_H2f9 zenon_H423 zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H183 zenon_H23b zenon_H335 zenon_H5 zenon_H6 zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H285 zenon_H387 zenon_H328 zenon_H48c zenon_H48a zenon_H4d4 zenon_H212 zenon_H215 zenon_H219 zenon_H2b9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.66 apply (zenon_L1125_); trivial.
% 20.49/20.66 apply (zenon_L1337_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1345_ *)
% 20.49/20.66 assert (zenon_L1346_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H3ae zenon_H398 zenon_H56b zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48a zenon_H48c zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H335 zenon_H23b zenon_H500 zenon_H203 zenon_H1ec zenon_H149 zenon_H19e zenon_H165 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H308 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_H23c zenon_Hc0 zenon_H40d zenon_H53b zenon_H2e0.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.66 apply (zenon_L1344_); trivial.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.66 apply (zenon_L1125_); trivial.
% 20.49/20.66 apply (zenon_L1331_); trivial.
% 20.49/20.66 apply (zenon_L1345_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1346_ *)
% 20.49/20.66 assert (zenon_L1347_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H5ac zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.66 apply (zenon_L244_); trivial.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.66 apply (zenon_L1203_); trivial.
% 20.49/20.66 apply (zenon_L399_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1347_ *)
% 20.49/20.66 assert (zenon_L1348_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_Hbf zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.66 apply (zenon_L213_); trivial.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.66 apply (zenon_L1201_); trivial.
% 20.49/20.66 apply (zenon_L1347_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1348_ *)
% 20.49/20.66 assert (zenon_L1349_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H5b0 zenon_H499 zenon_H49b zenon_H49a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.66 apply (zenon_L39_); trivial.
% 20.49/20.66 apply (zenon_L1348_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1349_ *)
% 20.49/20.66 assert (zenon_L1350_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H120 zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.66 apply (zenon_L1198_); trivial.
% 20.49/20.66 apply (zenon_L1349_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1350_ *)
% 20.49/20.66 assert (zenon_L1351_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.66 apply (zenon_L68_); trivial.
% 20.49/20.66 apply (zenon_L1350_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1351_ *)
% 20.49/20.66 assert (zenon_L1352_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H2db zenon_H132 zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121 zenon_H47 zenon_H4c zenon_H275 zenon_H2ab.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.66 apply (zenon_L217_); trivial.
% 20.49/20.66 apply (zenon_L1351_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1352_ *)
% 20.49/20.66 assert (zenon_L1353_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H4a2 zenon_H2de zenon_H3ba zenon_H3bb zenon_H3bc zenon_H8f zenon_Ha3 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H121 zenon_H1dd zenon_H8c zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H273 zenon_H5b0 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H2e0.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.66 apply (zenon_L1208_); trivial.
% 20.49/20.66 apply (zenon_L1352_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1353_ *)
% 20.49/20.66 assert (zenon_L1354_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H2b9 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H335.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.66 apply (zenon_L1052_); trivial.
% 20.49/20.66 apply (zenon_L1100_); trivial.
% 20.49/20.66 apply (zenon_L771_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1354_ *)
% 20.49/20.66 assert (zenon_L1355_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H2de zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H121 zenon_H59f zenon_H5a1 zenon_H5b0 zenon_H2e0 zenon_H2b9 zenon_H4d4 zenon_H48c zenon_H328 zenon_H387 zenon_H203 zenon_H212 zenon_H215 zenon_H219 zenon_H307 zenon_H2f9 zenon_H308 zenon_H166 zenon_H183 zenon_H319 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H335 zenon_H500 zenon_H277 zenon_H53b.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.49/20.66 apply (zenon_L1354_); trivial.
% 20.49/20.66 apply (zenon_L1070_); trivial.
% 20.49/20.66 apply (zenon_L1353_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1355_ *)
% 20.49/20.66 assert (zenon_L1356_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H14c zenon_Hc zenon_H5ca zenon_H5cb zenon_H5cc.
% 20.49/20.66 generalize (zenon_H14c (a1048)). zenon_intro zenon_H5cd.
% 20.49/20.66 apply (zenon_imply_s _ _ zenon_H5cd); [ zenon_intro zenon_Hb | zenon_intro zenon_H5ce ].
% 20.49/20.66 exact (zenon_Hb zenon_Hc).
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H5d0 | zenon_intro zenon_H5cf ].
% 20.49/20.66 exact (zenon_H5d0 zenon_H5ca).
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H5d2 | zenon_intro zenon_H5d1 ].
% 20.49/20.66 exact (zenon_H5d2 zenon_H5cb).
% 20.49/20.66 exact (zenon_H5cc zenon_H5d1).
% 20.49/20.66 (* end of lemma zenon_L1356_ *)
% 20.49/20.66 assert (zenon_L1357_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp57)) -> (ndr1_0) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H1c7 zenon_H15f zenon_Hc zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H1c3 zenon_H1c5.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.66 apply (zenon_L1356_); trivial.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.66 apply (zenon_L107_); trivial.
% 20.49/20.66 exact (zenon_H15f zenon_H160).
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.49/20.66 exact (zenon_H1c3 zenon_H1c4).
% 20.49/20.66 exact (zenon_H1c5 zenon_H1c6).
% 20.49/20.66 (* end of lemma zenon_L1357_ *)
% 20.49/20.66 assert (zenon_L1358_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H1ce zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.66 apply (zenon_L1357_); trivial.
% 20.49/20.66 apply (zenon_L89_); trivial.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.66 apply (zenon_L1357_); trivial.
% 20.49/20.66 apply (zenon_L91_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1358_ *)
% 20.49/20.66 assert (zenon_L1359_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.66 apply (zenon_L77_); trivial.
% 20.49/20.66 apply (zenon_L1358_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1359_ *)
% 20.49/20.66 assert (zenon_L1360_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> (c0_1 (a1048)) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H10b zenon_Hc zenon_H5cb zenon_H5cc zenon_H5ca.
% 20.49/20.66 generalize (zenon_H10b (a1048)). zenon_intro zenon_H5d3.
% 20.49/20.66 apply (zenon_imply_s _ _ zenon_H5d3); [ zenon_intro zenon_Hb | zenon_intro zenon_H5d4 ].
% 20.49/20.66 exact (zenon_Hb zenon_Hc).
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H5d4); [ zenon_intro zenon_H5d2 | zenon_intro zenon_H5d5 ].
% 20.49/20.66 exact (zenon_H5d2 zenon_H5cb).
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H5d5); [ zenon_intro zenon_H5d1 | zenon_intro zenon_H5d0 ].
% 20.49/20.66 exact (zenon_H5cc zenon_H5d1).
% 20.49/20.66 exact (zenon_H5d0 zenon_H5ca).
% 20.49/20.66 (* end of lemma zenon_L1360_ *)
% 20.49/20.66 assert (zenon_L1361_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1048)) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (~(hskp38)) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H1e8 zenon_H1dd zenon_H5ca zenon_H5cc zenon_H5cb zenon_H2f.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.49/20.66 apply (zenon_L1360_); trivial.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.49/20.66 exact (zenon_H2f zenon_H30).
% 20.49/20.66 apply (zenon_L120_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1361_ *)
% 20.49/20.66 assert (zenon_L1362_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H1dd zenon_H2f zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.66 apply (zenon_L1359_); trivial.
% 20.49/20.66 apply (zenon_L1361_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1362_ *)
% 20.49/20.66 assert (zenon_L1363_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H1dd zenon_H2f zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.66 apply (zenon_L73_); trivial.
% 20.49/20.66 apply (zenon_L1362_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1363_ *)
% 20.49/20.66 assert (zenon_L1364_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H48c zenon_H15f zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_Hc zenon_H2af zenon_H2ad zenon_H2ae zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H1f1 zenon_H48a.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.66 apply (zenon_L1356_); trivial.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.66 apply (zenon_L789_); trivial.
% 20.49/20.66 exact (zenon_H15f zenon_H160).
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.49/20.66 exact (zenon_H1f1 zenon_H1f2).
% 20.49/20.66 exact (zenon_H48a zenon_H48b).
% 20.49/20.66 (* end of lemma zenon_L1364_ *)
% 20.49/20.66 assert (zenon_L1365_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (ndr1_0) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_Hc zenon_H1f1 zenon_H48a zenon_H48c.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.66 apply (zenon_L1364_); trivial.
% 20.49/20.66 apply (zenon_L89_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1365_ *)
% 20.49/20.66 assert (zenon_L1366_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1f1 zenon_H48a zenon_H48c.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.66 apply (zenon_L1364_); trivial.
% 20.49/20.66 apply (zenon_L91_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1366_ *)
% 20.49/20.66 assert (zenon_L1367_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.66 apply (zenon_L1363_); trivial.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.66 apply (zenon_L73_); trivial.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.66 apply (zenon_L1359_); trivial.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.66 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.66 apply (zenon_L1365_); trivial.
% 20.49/20.66 apply (zenon_L1366_); trivial.
% 20.49/20.66 apply (zenon_L576_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1367_ *)
% 20.49/20.66 assert (zenon_L1368_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.66 do 0 intro. intros zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.66 apply (zenon_L1356_); trivial.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.66 apply (zenon_L473_); trivial.
% 20.49/20.66 exact (zenon_H15f zenon_H160).
% 20.49/20.66 (* end of lemma zenon_L1368_ *)
% 20.49/20.66 assert (zenon_L1369_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.49/20.66 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H5ca zenon_H5cb zenon_H5cc zenon_H230 zenon_H22e zenon_H22f zenon_H166.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.66 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.66 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.66 apply (zenon_L1368_); trivial.
% 20.49/20.66 apply (zenon_L91_); trivial.
% 20.49/20.66 (* end of lemma zenon_L1369_ *)
% 20.49/20.66 assert (zenon_L1370_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H237 zenon_Ha3 zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H8c zenon_H8f zenon_H183.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1368_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 apply (zenon_L1369_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1370_ *)
% 20.49/20.67 assert (zenon_L1371_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2b6 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H48c zenon_H48a zenon_H273 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_L1367_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1371_ *)
% 20.49/20.67 assert (zenon_L1372_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H15f.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.67 apply (zenon_L1356_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.67 apply (zenon_L79_); trivial.
% 20.49/20.67 exact (zenon_H15f zenon_H160).
% 20.49/20.67 (* end of lemma zenon_L1372_ *)
% 20.49/20.67 assert (zenon_L1373_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H5ca zenon_H5cb zenon_H5cc zenon_H156 zenon_H157 zenon_H158 zenon_H166.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1372_); trivial.
% 20.49/20.67 apply (zenon_L91_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1373_ *)
% 20.49/20.67 assert (zenon_L1374_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H23a zenon_Ha3 zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H8c zenon_H8f zenon_H183.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1372_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 apply (zenon_L1373_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1374_ *)
% 20.49/20.67 assert (zenon_L1375_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_H155 zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.67 apply (zenon_L244_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.67 apply (zenon_L449_); trivial.
% 20.49/20.67 apply (zenon_L177_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1375_ *)
% 20.49/20.67 assert (zenon_L1376_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (ndr1_0) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp57)) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H255 zenon_H25e zenon_H256 zenon_Hc zenon_H142 zenon_H141 zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H15f.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.67 apply (zenon_L1356_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.67 apply (zenon_L1375_); trivial.
% 20.49/20.67 exact (zenon_H15f zenon_H160).
% 20.49/20.67 (* end of lemma zenon_L1376_ *)
% 20.49/20.67 assert (zenon_L1377_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_Ha3 zenon_H166 zenon_H8c zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H8f zenon_H183 zenon_H138 zenon_H135 zenon_H137.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.67 apply (zenon_L73_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1376_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1376_); trivial.
% 20.49/20.67 apply (zenon_L91_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1377_ *)
% 20.49/20.67 assert (zenon_L1378_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2d8 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H273 zenon_Hc8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1363_); trivial.
% 20.49/20.67 apply (zenon_L1377_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1378_ *)
% 20.49/20.67 assert (zenon_L1379_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1363_); trivial.
% 20.49/20.67 apply (zenon_L215_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1379_ *)
% 20.49/20.67 assert (zenon_L1380_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H48c zenon_H48a zenon_H273 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.67 apply (zenon_L1379_); trivial.
% 20.49/20.67 apply (zenon_L1371_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1380_ *)
% 20.49/20.67 assert (zenon_L1381_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.67 apply (zenon_L226_); trivial.
% 20.49/20.67 apply (zenon_L1358_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1381_ *)
% 20.49/20.67 assert (zenon_L1382_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H1ec zenon_H1dd zenon_H2f zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.67 apply (zenon_L1381_); trivial.
% 20.49/20.67 apply (zenon_L1361_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1382_ *)
% 20.49/20.67 assert (zenon_L1383_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H6c zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1382_); trivial.
% 20.49/20.67 apply (zenon_L819_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1383_ *)
% 20.49/20.67 assert (zenon_L1384_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H48c zenon_H15f zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H2bb zenon_H2bc zenon_Hc zenon_H2af zenon_H2ad zenon_H2ae zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H1f1 zenon_H48a.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.67 apply (zenon_L1356_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.67 apply (zenon_L971_); trivial.
% 20.49/20.67 exact (zenon_H15f zenon_H160).
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.49/20.67 exact (zenon_H1f1 zenon_H1f2).
% 20.49/20.67 exact (zenon_H48a zenon_H48b).
% 20.49/20.67 (* end of lemma zenon_L1384_ *)
% 20.49/20.67 assert (zenon_L1385_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (ndr1_0) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H166 zenon_H8c zenon_Ha7 zenon_Ha6 zenon_Ha5 zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_Hc zenon_H1f1 zenon_H48a zenon_H48c.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1384_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1385_ *)
% 20.49/20.67 assert (zenon_L1386_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc4 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H6c zenon_H93 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hc5 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.67 apply (zenon_L1381_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.67 apply (zenon_L39_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_L1385_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1384_); trivial.
% 20.49/20.67 apply (zenon_L91_); trivial.
% 20.49/20.67 apply (zenon_L576_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1386_ *)
% 20.49/20.67 assert (zenon_L1387_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2b6 zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_Hc5 zenon_H48c zenon_H48a zenon_H273 zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_Hc8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1382_); trivial.
% 20.49/20.67 apply (zenon_L1386_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1387_ *)
% 20.49/20.67 assert (zenon_L1388_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H3b1 zenon_H23b zenon_Ha3 zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H8c zenon_H8f zenon_H183 zenon_H1c3 zenon_H1c7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_L251_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1388_ *)
% 20.49/20.67 assert (zenon_L1389_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H3af zenon_H2de zenon_H2df zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_Ha3 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H273 zenon_H48a zenon_H48c zenon_H137 zenon_H1ed zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2b9 zenon_H2e0 zenon_H3b0.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.67 apply (zenon_L763_); trivial.
% 20.49/20.67 apply (zenon_L1371_); trivial.
% 20.49/20.67 apply (zenon_L1374_); trivial.
% 20.49/20.67 apply (zenon_L1378_); trivial.
% 20.49/20.67 apply (zenon_L1380_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.67 apply (zenon_L1383_); trivial.
% 20.49/20.67 apply (zenon_L1387_); trivial.
% 20.49/20.67 apply (zenon_L1388_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1389_ *)
% 20.49/20.67 assert (zenon_L1390_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H273 zenon_Hc8 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.67 apply (zenon_L732_); trivial.
% 20.49/20.67 apply (zenon_L1378_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1390_ *)
% 20.49/20.67 assert (zenon_L1391_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (ndr1_0) -> (~(hskp34)) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H59a zenon_H15f zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H141 zenon_H142 zenon_H2af zenon_H2ae zenon_H2ad zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H4ab zenon_H4ac zenon_H4aa zenon_Hc zenon_H338.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H59a); [ zenon_intro zenon_H592 | zenon_intro zenon_H59b ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.67 apply (zenon_L1356_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.67 apply (zenon_L1150_); trivial.
% 20.49/20.67 exact (zenon_H15f zenon_H160).
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H59b); [ zenon_intro zenon_H596 | zenon_intro zenon_H339 ].
% 20.49/20.67 apply (zenon_L1151_); trivial.
% 20.49/20.67 exact (zenon_H338 zenon_H339).
% 20.49/20.67 (* end of lemma zenon_L1391_ *)
% 20.49/20.67 assert (zenon_L1392_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (ndr1_0) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp34)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H142 zenon_H141 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_Hc zenon_H4aa zenon_H4ac zenon_H4ab zenon_H338 zenon_H59a.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1391_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1392_ *)
% 20.49/20.67 assert (zenon_L1393_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H1ee zenon_Ha3 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5ca zenon_H5cb zenon_H5cc zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H8f zenon_H183.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_L1392_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1391_); trivial.
% 20.49/20.67 apply (zenon_L91_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1393_ *)
% 20.49/20.67 assert (zenon_L1394_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc4 zenon_H1eb zenon_Ha3 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5ca zenon_H5cb zenon_H5cc zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H8c zenon_H166 zenon_H8f zenon_H183 zenon_H138 zenon_H135 zenon_H137.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.67 apply (zenon_L73_); trivial.
% 20.49/20.67 apply (zenon_L1393_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1394_ *)
% 20.49/20.67 assert (zenon_L1395_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc8 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1363_); trivial.
% 20.49/20.67 apply (zenon_L1394_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1395_ *)
% 20.49/20.67 assert (zenon_L1396_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.67 apply (zenon_L934_); trivial.
% 20.49/20.67 apply (zenon_L576_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1396_ *)
% 20.49/20.67 assert (zenon_L1397_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.67 apply (zenon_L1359_); trivial.
% 20.49/20.67 apply (zenon_L1396_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1397_ *)
% 20.49/20.67 assert (zenon_L1398_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H37c zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.67 apply (zenon_L73_); trivial.
% 20.49/20.67 apply (zenon_L1397_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1398_ *)
% 20.49/20.67 assert (zenon_L1399_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc8 zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.67 apply (zenon_L1395_); trivial.
% 20.49/20.67 apply (zenon_L807_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1399_ *)
% 20.49/20.67 assert (zenon_L1400_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H335 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H273 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H328 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.67 apply (zenon_L1379_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.67 apply (zenon_L3_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.67 apply (zenon_L1395_); trivial.
% 20.49/20.67 apply (zenon_L1398_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 apply (zenon_L1399_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1400_ *)
% 20.49/20.67 assert (zenon_L1401_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (ndr1_0) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2de zenon_H2b9 zenon_H335 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H59a zenon_H328 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc zenon_Hc8 zenon_H273 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2e0.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.67 apply (zenon_L1390_); trivial.
% 20.49/20.67 apply (zenon_L1400_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1401_ *)
% 20.49/20.67 assert (zenon_L1402_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bb zenon_H2bc zenon_H155 zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.67 apply (zenon_L244_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.67 apply (zenon_L970_); trivial.
% 20.49/20.67 apply (zenon_L177_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1402_ *)
% 20.49/20.67 assert (zenon_L1403_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (ndr1_0) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp57)) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H255 zenon_H25e zenon_H256 zenon_Hc zenon_H2bc zenon_H2bb zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H15f.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.67 apply (zenon_L1356_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.67 apply (zenon_L1402_); trivial.
% 20.49/20.67 exact (zenon_H15f zenon_H160).
% 20.49/20.67 (* end of lemma zenon_L1403_ *)
% 20.49/20.67 assert (zenon_L1404_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc4 zenon_Ha3 zenon_H166 zenon_H8c zenon_H2bc zenon_H2bb zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H8f zenon_H183.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1403_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1403_); trivial.
% 20.49/20.67 apply (zenon_L91_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1404_ *)
% 20.49/20.67 assert (zenon_L1405_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc8 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1382_); trivial.
% 20.49/20.67 apply (zenon_L1404_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1405_ *)
% 20.49/20.67 assert (zenon_L1406_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2d8 zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H273 zenon_Hc8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_L1405_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1406_ *)
% 20.49/20.67 assert (zenon_L1407_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H2e0 zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H273 zenon_Hc8 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.67 apply (zenon_L732_); trivial.
% 20.49/20.67 apply (zenon_L1406_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1407_ *)
% 20.49/20.67 assert (zenon_L1408_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H499 zenon_H49b zenon_H49a zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.67 apply (zenon_L39_); trivial.
% 20.49/20.67 apply (zenon_L1265_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1408_ *)
% 20.49/20.67 assert (zenon_L1409_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H499 zenon_H49b zenon_H49a zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H93 zenon_H6c zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.67 apply (zenon_L1382_); trivial.
% 20.49/20.67 apply (zenon_L1408_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1409_ *)
% 20.49/20.67 assert (zenon_L1410_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H387 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H47 zenon_H4c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2ab zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H6c zenon_H93 zenon_H277 zenon_H275 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H49a zenon_H49b zenon_H499 zenon_H5b0 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.67 apply (zenon_L1409_); trivial.
% 20.49/20.67 apply (zenon_L937_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1410_ *)
% 20.49/20.67 assert (zenon_L1411_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5b0 zenon_H499 zenon_H49b zenon_H49a zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H93 zenon_H6c zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.67 apply (zenon_L1409_); trivial.
% 20.49/20.67 apply (zenon_L807_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1411_ *)
% 20.49/20.67 assert (zenon_L1412_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.67 apply (zenon_L1356_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.67 apply (zenon_L292_); trivial.
% 20.49/20.67 exact (zenon_H15f zenon_H160).
% 20.49/20.67 (* end of lemma zenon_L1412_ *)
% 20.49/20.67 assert (zenon_L1413_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H4a7 zenon_Ha3 zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H8c zenon_H8f zenon_H183.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1412_); trivial.
% 20.49/20.67 apply (zenon_L89_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.67 apply (zenon_L1412_); trivial.
% 20.49/20.67 apply (zenon_L91_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1413_ *)
% 20.49/20.67 assert (zenon_L1414_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H4a5 zenon_H3af zenon_H2de zenon_H2df zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_Ha3 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H273 zenon_H48c zenon_H137 zenon_H1ed zenon_H1c7 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2b9 zenon_H2e0 zenon_H3b0 zenon_H277 zenon_H5b0 zenon_H33 zenon_H31 zenon_H4e3 zenon_Hc9 zenon_H2ab zenon_H275 zenon_H4c zenon_H47 zenon_H12f zenon_H132 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H328 zenon_H59a zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H387 zenon_H6 zenon_H5 zenon_H51a zenon_H4e1 zenon_H423 zenon_H335 zenon_H4a6.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.67 apply (zenon_L1389_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.67 apply (zenon_L1401_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.67 apply (zenon_L1407_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.49/20.67 apply (zenon_L928_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.67 apply (zenon_L3_); trivial.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.67 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.67 apply (zenon_L1410_); trivial.
% 20.49/20.67 apply (zenon_L1370_); trivial.
% 20.49/20.67 apply (zenon_L1411_); trivial.
% 20.49/20.67 apply (zenon_L1388_); trivial.
% 20.49/20.67 apply (zenon_L1413_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1414_ *)
% 20.49/20.67 assert (zenon_L1415_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.49/20.67 do 0 intro. intros zenon_H273 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H5ac zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.49/20.67 apply (zenon_L201_); trivial.
% 20.49/20.67 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.49/20.67 apply (zenon_L1203_); trivial.
% 20.49/20.67 apply (zenon_L399_); trivial.
% 20.49/20.67 (* end of lemma zenon_L1415_ *)
% 20.49/20.67 assert (zenon_L1416_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_Hbf zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H273 zenon_H8c zenon_H49a zenon_H49b zenon_H499 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.49/20.68 apply (zenon_L213_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.49/20.68 apply (zenon_L1201_); trivial.
% 20.49/20.68 apply (zenon_L1415_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1416_ *)
% 20.49/20.68 assert (zenon_L1417_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H3b2 zenon_Hc5 zenon_H5b0 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.68 apply (zenon_L1257_); trivial.
% 20.49/20.68 apply (zenon_L1416_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1417_ *)
% 20.49/20.68 assert (zenon_L1418_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H4a2 zenon_H3af zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H137 zenon_H6c zenon_H93 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b0 zenon_Hc5 zenon_Hc8 zenon_H40d zenon_H3b0.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.68 apply (zenon_L1363_); trivial.
% 20.49/20.68 apply (zenon_L1349_); trivial.
% 20.49/20.68 apply (zenon_L1370_); trivial.
% 20.49/20.68 apply (zenon_L1417_); trivial.
% 20.49/20.68 apply (zenon_L1388_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1418_ *)
% 20.49/20.68 assert (zenon_L1419_ : ((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H5d6 zenon_H4c0 zenon_H40d zenon_H4a6 zenon_H335 zenon_H423 zenon_H4e1 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H59a zenon_H328 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H132 zenon_H12f zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_Hc9 zenon_H4e3 zenon_H33 zenon_H5b0 zenon_H277 zenon_H3b0 zenon_H2e0 zenon_H2b9 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H166 zenon_H1c7 zenon_H1ed zenon_H137 zenon_H48c zenon_H273 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_Ha3 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5 zenon_H2df zenon_H2de zenon_H3af zenon_H4a5.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_Hc. zenon_intro zenon_H5d7.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H5ca. zenon_intro zenon_H5d8.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H5cb. zenon_intro zenon_H5cc.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.49/20.68 apply (zenon_L1414_); trivial.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Hc. zenon_intro zenon_H4be.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H3ba. zenon_intro zenon_H4bf.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H3bb. zenon_intro zenon_H3bc.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.68 apply (zenon_L1389_); trivial.
% 20.49/20.68 apply (zenon_L1418_); trivial.
% 20.49/20.68 apply (zenon_L1413_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1419_ *)
% 20.49/20.68 assert (zenon_L1420_ : ((ndr1_0)/\((~(c1_1 (a1043)))/\((c0_1 (a1043))/\(~(c3_1 (a1043)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp2)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H5d9 zenon_H5da zenon_H4a5 zenon_H19e zenon_H165 zenon_H1cf zenon_Hfb zenon_Hcc zenon_Hdc zenon_H3af zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H2de zenon_H293 zenon_H3b zenon_H5b zenon_H56b zenon_H20 zenon_H2b9 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48c zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H273 zenon_H265 zenon_H137 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H358 zenon_H1dd zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_H132 zenon_H6 zenon_H5 zenon_H1c7 zenon_H423 zenon_H40d zenon_H23b zenon_H335 zenon_H203 zenon_H1ec zenon_H59a zenon_H149 zenon_H183 zenon_H500 zenon_H166 zenon_H1ed zenon_H33 zenon_H4e3 zenon_H4e1 zenon_Hc9 zenon_H46d zenon_H51a zenon_H47b zenon_H53b zenon_H2e0 zenon_Hc0 zenon_H3b0 zenon_H5b0 zenon_H5a1 zenon_H121 zenon_H5b2 zenon_H2e zenon_Hf zenon_H2df zenon_H4a6 zenon_H1c8 zenon_H23c zenon_H590 zenon_H58b zenon_H398 zenon_H3ae zenon_H4c0.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5d9). zenon_intro zenon_Hc. zenon_intro zenon_H5db.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5db). zenon_intro zenon_H4ac. zenon_intro zenon_H5dc.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5dc). zenon_intro zenon_H4ab. zenon_intro zenon_H4aa.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5da); [ zenon_intro zenon_H59f | zenon_intro zenon_H5d6 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.49/20.68 apply (zenon_L1328_); trivial.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Hc. zenon_intro zenon_H4be.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H3ba. zenon_intro zenon_H4bf.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H3bb. zenon_intro zenon_H3bc.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.49/20.68 apply (zenon_L1329_); trivial.
% 20.49/20.68 apply (zenon_L1339_); trivial.
% 20.49/20.68 apply (zenon_L1346_); trivial.
% 20.49/20.68 apply (zenon_L1195_); trivial.
% 20.49/20.68 apply (zenon_L1353_); trivial.
% 20.49/20.68 apply (zenon_L1355_); trivial.
% 20.49/20.68 apply (zenon_L1419_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1420_ *)
% 20.49/20.68 assert (zenon_L1421_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (ndr1_0) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H48c zenon_H5dd zenon_H5de zenon_H5df zenon_Hc zenon_H1f1 zenon_H48a.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.49/20.68 generalize (zenon_H486 (a1041)). zenon_intro zenon_H5e0.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5e0); [ zenon_intro zenon_Hb | zenon_intro zenon_H5e1 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5e1); [ zenon_intro zenon_H5e3 | zenon_intro zenon_H5e2 ].
% 20.49/20.68 exact (zenon_H5e3 zenon_H5df).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5e2); [ zenon_intro zenon_H5e5 | zenon_intro zenon_H5e4 ].
% 20.49/20.68 exact (zenon_H5de zenon_H5e5).
% 20.49/20.68 exact (zenon_H5dd zenon_H5e4).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.49/20.68 exact (zenon_H1f1 zenon_H1f2).
% 20.49/20.68 exact (zenon_H48a zenon_H48b).
% 20.49/20.68 (* end of lemma zenon_L1421_ *)
% 20.49/20.68 assert (zenon_L1422_ : ((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H120 zenon_H219 zenon_H215 zenon_H212 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_Hc. zenon_intro zenon_H122.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H10e. zenon_intro zenon_H10c.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.68 apply (zenon_L1421_); trivial.
% 20.49/20.68 apply (zenon_L139_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1422_ *)
% 20.49/20.68 assert (zenon_L1423_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H12e zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_H47 zenon_H4c.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H49 | zenon_intro zenon_H120 ].
% 20.49/20.68 apply (zenon_L68_); trivial.
% 20.49/20.68 apply (zenon_L1422_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1423_ *)
% 20.49/20.68 assert (zenon_L1424_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_H47 zenon_H4c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.49/20.68 apply (zenon_L764_); trivial.
% 20.49/20.68 apply (zenon_L1423_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1424_ *)
% 20.49/20.68 assert (zenon_L1425_ : ((ndr1_0)/\((~(c3_1 (a1041)))/\((c1_1 (a1041))/\(~(c2_1 (a1041)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H5e6 zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H4c zenon_H47 zenon_H48c zenon_H212 zenon_H215 zenon_H219 zenon_H12f zenon_H132.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5e6). zenon_intro zenon_Hc. zenon_intro zenon_H5e7.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5e7). zenon_intro zenon_H5de. zenon_intro zenon_H5e8.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H5e8). zenon_intro zenon_H5df. zenon_intro zenon_H5dd.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.68 apply (zenon_L1424_); trivial.
% 20.49/20.68 apply (zenon_L730_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1425_ *)
% 20.49/20.68 assert (zenon_L1426_ : ((~(hskp11))\/((ndr1_0)/\((~(c3_1 (a1041)))/\((c1_1 (a1041))/\(~(c2_1 (a1041))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> (~(hskp2)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp37))\/((ndr1_0)/\((~(c1_1 (a1037)))/\((c0_1 (a1037))/\(c3_1 (a1037)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c3_1 X12))\/((~(c1_1 X12))\/(c0_1 X12)))))\/((hskp8)\/(hskp37))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c1_1 (a1043)))/\((c0_1 (a1043))/\(~(c3_1 (a1043))))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H5e9 zenon_H4c0 zenon_H398 zenon_H3ae zenon_H58b zenon_H590 zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H3b0 zenon_H47b zenon_H46d zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H2e0 zenon_H2df zenon_H484 zenon_H535 zenon_H5b zenon_H3b zenon_Hc0 zenon_H23c zenon_H121 zenon_H435 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H285 zenon_H265 zenon_H277 zenon_H485 zenon_H40d zenon_H203 zenon_H2b9 zenon_H132 zenon_H12f zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H48c zenon_H47 zenon_H4c zenon_H275 zenon_H2ab zenon_Ha3 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5 zenon_H328 zenon_H6 zenon_H5 zenon_H387 zenon_H51a zenon_H423 zenon_Hc9 zenon_H1c7 zenon_H4e1 zenon_H4e3 zenon_H33 zenon_H137 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H358 zenon_H11c zenon_H273 zenon_H33e zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H1dd zenon_H23b zenon_H335 zenon_H53b zenon_H54a zenon_H560 zenon_H293 zenon_H56b zenon_H2de zenon_H3af zenon_H4a5 zenon_H5b2 zenon_H5a1 zenon_H5b0 zenon_H59a zenon_H5da zenon_H5ea.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5e9); [ zenon_intro zenon_H533 | zenon_intro zenon_H5e6 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5ea); [ zenon_intro zenon_Hfc | zenon_intro zenon_H5d9 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.49/20.68 apply (zenon_L1073_); trivial.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Hc. zenon_intro zenon_H4be.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H3ba. zenon_intro zenon_H4bf.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H3bb. zenon_intro zenon_H3bc.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.49/20.68 apply (zenon_L1124_); trivial.
% 20.49/20.68 apply (zenon_L1148_); trivial.
% 20.49/20.68 apply (zenon_L1047_); trivial.
% 20.49/20.68 apply (zenon_L730_); trivial.
% 20.49/20.68 apply (zenon_L1072_); trivial.
% 20.49/20.68 apply (zenon_L1420_); trivial.
% 20.49/20.68 apply (zenon_L1425_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1426_ *)
% 20.49/20.68 assert (zenon_L1427_ : ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (ndr1_0) -> (~(hskp20)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H20 zenon_H1b zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc zenon_H1d.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H1c | zenon_intro zenon_H26 ].
% 20.49/20.68 exact (zenon_H1b zenon_H1c).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e ].
% 20.49/20.68 generalize (zenon_H27 (a1036)). zenon_intro zenon_H5ee.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5ee); [ zenon_intro zenon_Hb | zenon_intro zenon_H5ef ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5ef); [ zenon_intro zenon_H5f1 | zenon_intro zenon_H5f0 ].
% 20.49/20.68 exact (zenon_H5ed zenon_H5f1).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5f0); [ zenon_intro zenon_H5f3 | zenon_intro zenon_H5f2 ].
% 20.49/20.68 exact (zenon_H5f3 zenon_H5ec).
% 20.49/20.68 exact (zenon_H5eb zenon_H5f2).
% 20.49/20.68 exact (zenon_H1d zenon_H1e).
% 20.49/20.68 (* end of lemma zenon_L1427_ *)
% 20.49/20.68 assert (zenon_L1428_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H135 zenon_H138 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb zenon_H132 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.49/20.68 apply (zenon_L1427_); trivial.
% 20.49/20.68 apply (zenon_L333_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1428_ *)
% 20.49/20.68 assert (zenon_L1429_ : (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2))))) -> (ndr1_0) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H465 zenon_Hc zenon_H1ad zenon_H1b7 zenon_H1af.
% 20.49/20.68 generalize (zenon_H465 (a1051)). zenon_intro zenon_H5f4.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5f4); [ zenon_intro zenon_Hb | zenon_intro zenon_H5f5 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5f5); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H5c9 ].
% 20.49/20.68 exact (zenon_H1b3 zenon_H1ad).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5c9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1b4 ].
% 20.49/20.68 exact (zenon_H1bb zenon_H1b7).
% 20.49/20.68 exact (zenon_H1af zenon_H1b4).
% 20.49/20.68 (* end of lemma zenon_L1429_ *)
% 20.49/20.68 assert (zenon_L1430_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H13f zenon_Hc zenon_H4e9 zenon_H230 zenon_H22f.
% 20.49/20.68 generalize (zenon_H13f (a1031)). zenon_intro zenon_H5f6.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5f6); [ zenon_intro zenon_Hb | zenon_intro zenon_H5f7 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5f7); [ zenon_intro zenon_H31d | zenon_intro zenon_H233 ].
% 20.49/20.68 apply (zenon_L938_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ].
% 20.49/20.68 exact (zenon_H22f zenon_H236).
% 20.49/20.68 exact (zenon_H235 zenon_H230).
% 20.49/20.68 (* end of lemma zenon_L1430_ *)
% 20.49/20.68 assert (zenon_L1431_ : (forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H4ee zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.49/20.68 generalize (zenon_H4ee (a1036)). zenon_intro zenon_H5f8.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5f8); [ zenon_intro zenon_Hb | zenon_intro zenon_H5f9 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5f9); [ zenon_intro zenon_H5f3 | zenon_intro zenon_H5fa ].
% 20.49/20.68 exact (zenon_H5f3 zenon_H5ec).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5fa); [ zenon_intro zenon_H5f2 | zenon_intro zenon_H5f1 ].
% 20.49/20.68 exact (zenon_H5eb zenon_H5f2).
% 20.49/20.68 exact (zenon_H5ed zenon_H5f1).
% 20.49/20.68 (* end of lemma zenon_L1431_ *)
% 20.49/20.68 assert (zenon_L1432_ : (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(c2_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H4fc zenon_Hc zenon_H5eb zenon_H5ed zenon_H5fb.
% 20.49/20.68 generalize (zenon_H4fc (a1036)). zenon_intro zenon_H5fc.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5fc); [ zenon_intro zenon_Hb | zenon_intro zenon_H5fd ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5fd); [ zenon_intro zenon_H5f2 | zenon_intro zenon_H5fe ].
% 20.49/20.68 exact (zenon_H5eb zenon_H5f2).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5fe); [ zenon_intro zenon_H5f1 | zenon_intro zenon_H5ff ].
% 20.49/20.68 exact (zenon_H5ed zenon_H5f1).
% 20.49/20.68 exact (zenon_H5fb zenon_H5ff).
% 20.49/20.68 (* end of lemma zenon_L1432_ *)
% 20.49/20.68 assert (zenon_L1433_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H469 zenon_Hc zenon_H4fc zenon_H5eb zenon_H5ed.
% 20.49/20.68 generalize (zenon_H469 (a1036)). zenon_intro zenon_H600.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H600); [ zenon_intro zenon_Hb | zenon_intro zenon_H601 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H601); [ zenon_intro zenon_H5fb | zenon_intro zenon_H602 ].
% 20.49/20.68 apply (zenon_L1432_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H602); [ zenon_intro zenon_H5f1 | zenon_intro zenon_H5f2 ].
% 20.49/20.68 exact (zenon_H5ed zenon_H5f1).
% 20.49/20.68 exact (zenon_H5eb zenon_H5f2).
% 20.49/20.68 (* end of lemma zenon_L1433_ *)
% 20.49/20.68 assert (zenon_L1434_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H500 zenon_H22f zenon_H230 zenon_H13f zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.68 apply (zenon_L1430_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.68 apply (zenon_L1431_); trivial.
% 20.49/20.68 apply (zenon_L1433_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1434_ *)
% 20.49/20.68 assert (zenon_L1435_ : ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp40)) -> (~(hskp41)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H149 zenon_H13b zenon_H13d zenon_H500 zenon_H22f zenon_H230 zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H13c | zenon_intro zenon_H14a ].
% 20.49/20.68 exact (zenon_H13b zenon_H13c).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 20.49/20.68 exact (zenon_H13d zenon_H13e).
% 20.49/20.68 apply (zenon_L1434_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1435_ *)
% 20.49/20.68 assert (zenon_L1436_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp40)) -> (~(hskp41)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1cb zenon_H46d zenon_H463 zenon_H149 zenon_H13b zenon_H13d zenon_H500 zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.49/20.68 exact (zenon_H463 zenon_H464).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.49/20.68 apply (zenon_L1429_); trivial.
% 20.49/20.68 apply (zenon_L1435_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1436_ *)
% 20.49/20.68 assert (zenon_L1437_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp40)) -> (~(hskp41)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1cf zenon_H46d zenon_H13b zenon_H13d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.49/20.68 apply (zenon_L995_); trivial.
% 20.49/20.68 apply (zenon_L1436_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1437_ *)
% 20.49/20.68 assert (zenon_L1438_ : (forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83))))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74))))) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c3_1 (a1045)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1a9 zenon_Hc zenon_H5b4 zenon_H1a2 zenon_H1be zenon_H1a0.
% 20.49/20.68 generalize (zenon_H1a9 (a1045)). zenon_intro zenon_H1aa.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H1aa); [ zenon_intro zenon_Hb | zenon_intro zenon_H1ab ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1ac ].
% 20.49/20.68 generalize (zenon_H5b4 (a1045)). zenon_intro zenon_H5b5.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H5b5); [ zenon_intro zenon_Hb | zenon_intro zenon_H5b6 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H5b7 ].
% 20.49/20.68 exact (zenon_H1a2 zenon_H1a7).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5b7); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1c2 ].
% 20.49/20.68 exact (zenon_H1a1 zenon_H1a8).
% 20.49/20.68 exact (zenon_H1be zenon_H1c2).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 20.49/20.68 exact (zenon_H1a6 zenon_H1a0).
% 20.49/20.68 exact (zenon_H1a2 zenon_H1a7).
% 20.49/20.68 (* end of lemma zenon_L1438_ *)
% 20.49/20.68 assert (zenon_L1439_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp14)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1045)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (~(hskp35)) -> (~(hskp48)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H166 zenon_H31 zenon_H1c8 zenon_H1a0 zenon_H1be zenon_H1a2 zenon_H1b7 zenon_H1ad zenon_H1af zenon_H1bc zenon_H2f6 zenon_H5b2 zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5b2); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H5b3 ].
% 20.49/20.68 exact (zenon_H2f6 zenon_H2f7).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b4 | zenon_intro zenon_H32 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.49/20.68 apply (zenon_L1438_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.49/20.68 apply (zenon_L105_); trivial.
% 20.49/20.68 exact (zenon_H1bc zenon_H1bd).
% 20.49/20.68 exact (zenon_H31 zenon_H32).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.49/20.68 apply (zenon_L473_); trivial.
% 20.49/20.68 exact (zenon_H15f zenon_H160).
% 20.49/20.68 (* end of lemma zenon_L1439_ *)
% 20.49/20.68 assert (zenon_L1440_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c3_1 (a1045)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp48)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H5b2 zenon_H31 zenon_Hc zenon_H1a2 zenon_H1be zenon_H1a0 zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_H2f6 zenon_H230 zenon_H22e zenon_H22f zenon_H166.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.68 apply (zenon_L1439_); trivial.
% 20.49/20.68 apply (zenon_L89_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1440_ *)
% 20.49/20.68 assert (zenon_L1441_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1cb zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H5b2 zenon_H31 zenon_H1a2 zenon_H1be zenon_H1a0 zenon_H1bc zenon_H1c8 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Ha3.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.49/20.68 apply (zenon_L1440_); trivial.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.49/20.68 apply (zenon_L1439_); trivial.
% 20.49/20.68 apply (zenon_L91_); trivial.
% 20.49/20.68 apply (zenon_L263_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1441_ *)
% 20.49/20.68 assert (zenon_L1442_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.49/20.68 apply (zenon_L995_); trivial.
% 20.49/20.68 apply (zenon_L1441_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1442_ *)
% 20.49/20.68 assert (zenon_L1443_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp40)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H13b zenon_H46d zenon_H1cf.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.68 apply (zenon_L1437_); trivial.
% 20.49/20.68 apply (zenon_L1442_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1443_ *)
% 20.49/20.68 assert (zenon_L1444_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H215 zenon_H212 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.49/20.68 apply (zenon_L995_); trivial.
% 20.49/20.68 apply (zenon_L584_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1444_ *)
% 20.49/20.68 assert (zenon_L1445_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H1bc zenon_H5b2 zenon_H319 zenon_H1ed.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.68 apply (zenon_L1443_); trivial.
% 20.49/20.68 apply (zenon_L1444_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1445_ *)
% 20.49/20.68 assert (zenon_L1446_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.68 apply (zenon_L1445_); trivial.
% 20.49/20.68 apply (zenon_L215_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1446_ *)
% 20.49/20.68 assert (zenon_L1447_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H3f7 zenon_Hc zenon_H5ec zenon_H4fc zenon_H5eb zenon_H5ed.
% 20.49/20.68 generalize (zenon_H3f7 (a1036)). zenon_intro zenon_H603.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H603); [ zenon_intro zenon_Hb | zenon_intro zenon_H604 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H604); [ zenon_intro zenon_H5f3 | zenon_intro zenon_H605 ].
% 20.49/20.68 exact (zenon_H5f3 zenon_H5ec).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_H5fb | zenon_intro zenon_H5f2 ].
% 20.49/20.68 apply (zenon_L1432_); trivial.
% 20.49/20.68 exact (zenon_H5eb zenon_H5f2).
% 20.49/20.68 (* end of lemma zenon_L1447_ *)
% 20.49/20.68 assert (zenon_L1448_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp14)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (~(hskp48)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H500 zenon_H31 zenon_H1a2 zenon_H1be zenon_H2f6 zenon_H5b2 zenon_H3f7 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.68 apply (zenon_L1209_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.68 apply (zenon_L1431_); trivial.
% 20.49/20.68 apply (zenon_L1447_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1448_ *)
% 20.49/20.68 assert (zenon_L1449_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> (~(hskp43)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H1a2 zenon_H1be zenon_H31 zenon_H5b2 zenon_H59f zenon_Hee zenon_H5a1.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H5a2 ].
% 20.49/20.68 apply (zenon_L1448_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_H5a0 | zenon_intro zenon_Hef ].
% 20.49/20.68 exact (zenon_H59f zenon_H5a0).
% 20.49/20.68 exact (zenon_Hee zenon_Hef).
% 20.49/20.68 apply (zenon_L305_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1449_ *)
% 20.49/20.68 assert (zenon_L1450_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (c2_1 (a1031)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H84 zenon_Hc zenon_H230 zenon_H4e9 zenon_H22f zenon_H22e.
% 20.49/20.68 generalize (zenon_H84 (a1031)). zenon_intro zenon_H31a.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H31a); [ zenon_intro zenon_Hb | zenon_intro zenon_H31b ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H235 | zenon_intro zenon_H31c ].
% 20.49/20.68 exact (zenon_H235 zenon_H230).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H31d | zenon_intro zenon_H234 ].
% 20.49/20.68 apply (zenon_L938_); trivial.
% 20.49/20.68 exact (zenon_H234 zenon_H22e).
% 20.49/20.68 (* end of lemma zenon_L1450_ *)
% 20.49/20.68 assert (zenon_L1451_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H8c zenon_H22e zenon_H22f zenon_H4e9 zenon_H230 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.49/20.68 apply (zenon_L61_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.49/20.68 apply (zenon_L1450_); trivial.
% 20.49/20.68 apply (zenon_L64_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1451_ *)
% 20.49/20.68 assert (zenon_L1452_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H500 zenon_Hff zenon_H100 zenon_H101 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.68 apply (zenon_L1451_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.68 apply (zenon_L1431_); trivial.
% 20.49/20.68 apply (zenon_L1433_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1452_ *)
% 20.49/20.68 assert (zenon_L1453_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H11b zenon_H46d zenon_H463 zenon_H207 zenon_H208 zenon_H206 zenon_H500 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.49/20.68 exact (zenon_H463 zenon_H464).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.49/20.68 apply (zenon_L626_); trivial.
% 20.49/20.68 apply (zenon_L1452_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1453_ *)
% 20.49/20.68 assert (zenon_L1454_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (~(hskp31)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H214 zenon_H121 zenon_H46d zenon_H22e zenon_H22f zenon_H230 zenon_H463 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H1be zenon_H1a2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.68 apply (zenon_L1449_); trivial.
% 20.49/20.68 apply (zenon_L1453_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1454_ *)
% 20.49/20.68 assert (zenon_L1455_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1ce zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H22e zenon_H22f zenon_H230 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.68 apply (zenon_L1449_); trivial.
% 20.49/20.68 apply (zenon_L270_); trivial.
% 20.49/20.68 apply (zenon_L1454_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1455_ *)
% 20.49/20.68 assert (zenon_L1456_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H22e zenon_H22f zenon_H230 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.68 apply (zenon_L77_); trivial.
% 20.49/20.68 apply (zenon_L1455_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1456_ *)
% 20.49/20.68 assert (zenon_L1457_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp11)) -> (ndr1_0) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_Hc9 zenon_H165 zenon_H166 zenon_H183 zenon_H2f zenon_H33 zenon_H19e zenon_H149 zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H230 zenon_H22f zenon_H22e zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H463 zenon_H46d zenon_H219 zenon_H1ed zenon_H533 zenon_Hc zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.68 apply (zenon_L875_); trivial.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.68 apply (zenon_L1456_); trivial.
% 20.49/20.68 apply (zenon_L1444_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1457_ *)
% 20.49/20.68 assert (zenon_L1458_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp40)) -> (~(hskp41)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H214 zenon_H46d zenon_H463 zenon_H149 zenon_H13b zenon_H13d zenon_H500 zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.49/20.68 exact (zenon_H463 zenon_H464).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.49/20.68 apply (zenon_L626_); trivial.
% 20.49/20.68 apply (zenon_L1435_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1458_ *)
% 20.49/20.68 assert (zenon_L1459_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H22e zenon_H22f zenon_H230 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3 zenon_H121.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.68 apply (zenon_L271_); trivial.
% 20.49/20.68 apply (zenon_L576_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1459_ *)
% 20.49/20.68 assert (zenon_L1460_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_Hc4 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H22e zenon_H22f zenon_H230 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H319 zenon_H1ed.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.49/20.68 apply (zenon_L271_); trivial.
% 20.49/20.68 apply (zenon_L1458_); trivial.
% 20.49/20.68 apply (zenon_L1455_); trivial.
% 20.49/20.68 apply (zenon_L1459_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1460_ *)
% 20.49/20.68 assert (zenon_L1461_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H535 zenon_H533 zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H22e zenon_H22f zenon_H230 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H149 zenon_H19e zenon_H33 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.68 apply (zenon_L1457_); trivial.
% 20.49/20.68 apply (zenon_L1460_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1461_ *)
% 20.49/20.68 assert (zenon_L1462_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H23b zenon_H23c zenon_Hdd zenon_Hf1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.68 apply (zenon_L216_); trivial.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.49/20.68 apply (zenon_L1446_); trivial.
% 20.49/20.68 apply (zenon_L1461_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1462_ *)
% 20.49/20.68 assert (zenon_L1463_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H84 zenon_Hc zenon_H10b zenon_H471 zenon_H470.
% 20.49/20.68 generalize (zenon_H84 (a1028)). zenon_intro zenon_H606.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H606); [ zenon_intro zenon_Hb | zenon_intro zenon_H607 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H607); [ zenon_intro zenon_H498 | zenon_intro zenon_H474 ].
% 20.49/20.68 generalize (zenon_H10b (a1028)). zenon_intro zenon_H608.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H608); [ zenon_intro zenon_Hb | zenon_intro zenon_H609 ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H609); [ zenon_intro zenon_H476 | zenon_intro zenon_H60a ].
% 20.49/20.68 exact (zenon_H476 zenon_H471).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H60a); [ zenon_intro zenon_H494 | zenon_intro zenon_H477 ].
% 20.49/20.68 exact (zenon_H498 zenon_H494).
% 20.49/20.68 exact (zenon_H477 zenon_H470).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H477 | zenon_intro zenon_H476 ].
% 20.49/20.68 exact (zenon_H477 zenon_H470).
% 20.49/20.68 exact (zenon_H476 zenon_H471).
% 20.49/20.68 (* end of lemma zenon_L1463_ *)
% 20.49/20.68 assert (zenon_L1464_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H8c zenon_H470 zenon_H471 zenon_H10b zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.49/20.68 apply (zenon_L61_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.49/20.68 apply (zenon_L1463_); trivial.
% 20.49/20.68 apply (zenon_L64_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1464_ *)
% 20.49/20.68 assert (zenon_L1465_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (ndr1_0) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H1d8 zenon_Hc zenon_H470 zenon_H471 zenon_H46f.
% 20.49/20.68 generalize (zenon_H1d8 (a1028)). zenon_intro zenon_H60b.
% 20.49/20.68 apply (zenon_imply_s _ _ zenon_H60b); [ zenon_intro zenon_Hb | zenon_intro zenon_H60c ].
% 20.49/20.68 exact (zenon_Hb zenon_Hc).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H60c); [ zenon_intro zenon_H477 | zenon_intro zenon_H60d ].
% 20.49/20.68 exact (zenon_H477 zenon_H470).
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H60d); [ zenon_intro zenon_H476 | zenon_intro zenon_H475 ].
% 20.49/20.68 exact (zenon_H476 zenon_H471).
% 20.49/20.68 exact (zenon_H46f zenon_H475).
% 20.49/20.68 (* end of lemma zenon_L1465_ *)
% 20.49/20.68 assert (zenon_L1466_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H11b zenon_H1dd zenon_H8c zenon_H2f zenon_H470 zenon_H471 zenon_H46f.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.49/20.68 apply (zenon_L1464_); trivial.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.49/20.68 exact (zenon_H2f zenon_H30).
% 20.49/20.68 apply (zenon_L1465_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1466_ *)
% 20.49/20.68 assert (zenon_L1467_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (~(hskp38)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H121 zenon_H1dd zenon_H46f zenon_H2f zenon_H471 zenon_H470 zenon_H8c zenon_H436 zenon_H433 zenon_H435.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.68 apply (zenon_L559_); trivial.
% 20.49/20.68 apply (zenon_L1466_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1467_ *)
% 20.49/20.68 assert (zenon_L1468_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.49/20.68 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H1dd zenon_H121.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.49/20.68 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.49/20.68 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.68 apply (zenon_L1467_); trivial.
% 20.49/20.68 apply (zenon_L215_); trivial.
% 20.49/20.68 (* end of lemma zenon_L1468_ *)
% 20.49/20.68 assert (zenon_L1469_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H325 zenon_H47b zenon_H435 zenon_H433 zenon_H436 zenon_H1dd zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_Hf1 zenon_Hdd zenon_H23c zenon_H23b.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.49/20.69 apply (zenon_L1462_); trivial.
% 20.49/20.69 apply (zenon_L1468_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1469_ *)
% 20.49/20.69 assert (zenon_L1470_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H328 zenon_H47b zenon_H435 zenon_H433 zenon_H436 zenon_H1dd zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_Hf1 zenon_Hdd zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.49/20.69 apply (zenon_L3_); trivial.
% 20.49/20.69 apply (zenon_L1469_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1470_ *)
% 20.49/20.69 assert (zenon_L1471_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H1e8 zenon_H358 zenon_Ha3 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_H33e.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.49/20.69 apply (zenon_L561_); trivial.
% 20.49/20.69 apply (zenon_L484_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1471_ *)
% 20.49/20.69 assert (zenon_L1472_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H1ec zenon_H358 zenon_H338 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H1bc zenon_H5b2 zenon_H319 zenon_H1ed.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.69 apply (zenon_L1443_); trivial.
% 20.49/20.69 apply (zenon_L1471_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1472_ *)
% 20.49/20.69 assert (zenon_L1473_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H338 zenon_H358 zenon_H1ec.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.69 apply (zenon_L1472_); trivial.
% 20.49/20.69 apply (zenon_L215_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1473_ *)
% 20.49/20.69 assert (zenon_L1474_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H1ed zenon_H121 zenon_H11c zenon_H21a zenon_H21c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.49/20.69 apply (zenon_L77_); trivial.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.49/20.69 apply (zenon_L1449_); trivial.
% 20.49/20.69 apply (zenon_L152_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1474_ *)
% 20.49/20.69 assert (zenon_L1475_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp38)) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H359 zenon_H1dd zenon_H29e zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H2f zenon_H1df zenon_H1e0 zenon_H1e1.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.49/20.69 apply (zenon_L336_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.49/20.69 exact (zenon_H2f zenon_H30).
% 20.49/20.69 apply (zenon_L120_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1475_ *)
% 20.49/20.69 assert (zenon_L1476_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H1e8 zenon_H358 zenon_H1dd zenon_H2f zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H338 zenon_H33e.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.49/20.69 apply (zenon_L561_); trivial.
% 20.49/20.69 apply (zenon_L1475_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1476_ *)
% 20.49/20.69 assert (zenon_L1477_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H23c zenon_H535 zenon_H533 zenon_H121 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H338 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.49/20.69 apply (zenon_L1473_); trivial.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.49/20.69 apply (zenon_L875_); trivial.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.49/20.69 apply (zenon_L1474_); trivial.
% 20.49/20.69 apply (zenon_L1476_); trivial.
% 20.49/20.69 apply (zenon_L215_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1477_ *)
% 20.49/20.69 assert (zenon_L1478_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1031))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H20f zenon_Hc zenon_H22f zenon_H250 zenon_H230 zenon_H22e.
% 20.49/20.69 generalize (zenon_H20f (a1031)). zenon_intro zenon_H60e.
% 20.49/20.69 apply (zenon_imply_s _ _ zenon_H60e); [ zenon_intro zenon_Hb | zenon_intro zenon_H60f ].
% 20.49/20.69 exact (zenon_Hb zenon_Hc).
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H60f); [ zenon_intro zenon_H236 | zenon_intro zenon_H31c ].
% 20.49/20.69 exact (zenon_H22f zenon_H236).
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H31d | zenon_intro zenon_H234 ].
% 20.49/20.69 apply (zenon_L494_); trivial.
% 20.49/20.69 exact (zenon_H234 zenon_H22e).
% 20.49/20.69 (* end of lemma zenon_L1478_ *)
% 20.49/20.69 assert (zenon_L1479_ : (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H403 zenon_Hc zenon_H5ec zenon_H4fc zenon_H5eb zenon_H5ed.
% 20.49/20.69 generalize (zenon_H403 (a1036)). zenon_intro zenon_H610.
% 20.49/20.69 apply (zenon_imply_s _ _ zenon_H610); [ zenon_intro zenon_Hb | zenon_intro zenon_H611 ].
% 20.49/20.69 exact (zenon_Hb zenon_Hc).
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H5f3 | zenon_intro zenon_H612 ].
% 20.49/20.69 exact (zenon_H5f3 zenon_H5ec).
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H612); [ zenon_intro zenon_H5fb | zenon_intro zenon_H5f1 ].
% 20.49/20.69 apply (zenon_L1432_); trivial.
% 20.49/20.69 exact (zenon_H5ed zenon_H5f1).
% 20.49/20.69 (* end of lemma zenon_L1479_ *)
% 20.49/20.69 assert (zenon_L1480_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H40a zenon_Hc zenon_H4fc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.49/20.69 generalize (zenon_H40a (a1036)). zenon_intro zenon_H613.
% 20.49/20.69 apply (zenon_imply_s _ _ zenon_H613); [ zenon_intro zenon_Hb | zenon_intro zenon_H614 ].
% 20.49/20.69 exact (zenon_Hb zenon_Hc).
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H614); [ zenon_intro zenon_H5fb | zenon_intro zenon_H5f0 ].
% 20.49/20.69 apply (zenon_L1432_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H5f0); [ zenon_intro zenon_H5f3 | zenon_intro zenon_H5f2 ].
% 20.49/20.69 exact (zenon_H5f3 zenon_H5ec).
% 20.49/20.69 exact (zenon_H5eb zenon_H5f2).
% 20.49/20.69 (* end of lemma zenon_L1480_ *)
% 20.49/20.69 assert (zenon_L1481_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H500 zenon_H22e zenon_H22f zenon_H230 zenon_H26c zenon_H40a zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.69 apply (zenon_L939_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.69 apply (zenon_L1431_); trivial.
% 20.49/20.69 apply (zenon_L1480_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1481_ *)
% 20.49/20.69 assert (zenon_L1482_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H40d zenon_H60 zenon_H500 zenon_H22e zenon_H22f zenon_H230 zenon_H26c zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.49/20.69 apply (zenon_L939_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.49/20.69 apply (zenon_L1431_); trivial.
% 20.49/20.69 apply (zenon_L1479_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.49/20.69 exact (zenon_H60 zenon_H61).
% 20.49/20.69 apply (zenon_L1481_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1482_ *)
% 20.49/20.69 assert (zenon_L1483_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H277 zenon_H20f zenon_H5ec zenon_H5ed zenon_H5eb zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H500 zenon_H60 zenon_H40d zenon_H275.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.49/20.69 apply (zenon_L1478_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.49/20.69 apply (zenon_L1482_); trivial.
% 20.49/20.69 exact (zenon_H275 zenon_H276).
% 20.49/20.69 (* end of lemma zenon_L1483_ *)
% 20.49/20.69 assert (zenon_L1484_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp4)) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H215 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H275 zenon_H40d zenon_H60 zenon_H500 zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec zenon_H277 zenon_H212.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.49/20.69 apply (zenon_L583_); trivial.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.49/20.69 apply (zenon_L1483_); trivial.
% 20.49/20.69 exact (zenon_H212 zenon_H213).
% 20.49/20.69 (* end of lemma zenon_L1484_ *)
% 20.49/20.69 assert (zenon_L1485_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_Ha3 zenon_H166 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H8f zenon_H183 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.49/20.69 apply (zenon_L1484_); trivial.
% 20.49/20.69 apply (zenon_L812_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1485_ *)
% 20.49/20.69 assert (zenon_L1486_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H1cf zenon_Hc5 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H212 zenon_H215 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.49/20.69 apply (zenon_L995_); trivial.
% 20.49/20.69 apply (zenon_L1485_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1486_ *)
% 20.49/20.69 assert (zenon_L1487_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_H1cf.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.49/20.69 apply (zenon_L1486_); trivial.
% 20.49/20.69 apply (zenon_L813_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1487_ *)
% 20.49/20.69 assert (zenon_L1488_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H237 zenon_H387 zenon_H215 zenon_H212 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H358 zenon_H1ec zenon_H1eb zenon_H1dd zenon_H59f zenon_H5a1 zenon_Hfc zenon_H11c zenon_H121 zenon_H533 zenon_H535 zenon_H23c.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.49/20.69 apply (zenon_L1477_); trivial.
% 20.49/20.69 apply (zenon_L1487_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1488_ *)
% 20.49/20.69 assert (zenon_L1489_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H23b zenon_H387 zenon_H215 zenon_H212 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H358 zenon_H1ec zenon_H1eb zenon_H1dd zenon_H59f zenon_H5a1 zenon_Hfc zenon_H11c zenon_H121 zenon_H533 zenon_H535 zenon_H23c zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.49/20.69 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.49/20.69 apply (zenon_L216_); trivial.
% 20.49/20.69 apply (zenon_L1488_); trivial.
% 20.49/20.69 (* end of lemma zenon_L1489_ *)
% 20.49/20.69 assert (zenon_L1490_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.49/20.69 do 0 intro. intros zenon_H332 zenon_H47b zenon_H435 zenon_H433 zenon_H436 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H23c zenon_H535 zenon_H533 zenon_H121 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H212 zenon_H215 zenon_H387 zenon_H23b.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.49/20.69 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.69 apply (zenon_L1489_); trivial.
% 20.59/20.69 apply (zenon_L1468_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1490_ *)
% 20.59/20.69 assert (zenon_L1491_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H446 zenon_H445 zenon_H444.
% 20.59/20.69 generalize (zenon_H4e9 (a1102)). zenon_intro zenon_H615.
% 20.59/20.69 apply (zenon_imply_s _ _ zenon_H615); [ zenon_intro zenon_Hb | zenon_intro zenon_H616 ].
% 20.59/20.69 exact (zenon_Hb zenon_Hc).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H616); [ zenon_intro zenon_H44b | zenon_intro zenon_H617 ].
% 20.59/20.69 exact (zenon_H44b zenon_H446).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H617); [ zenon_intro zenon_H44c | zenon_intro zenon_H44a ].
% 20.59/20.69 exact (zenon_H445 zenon_H44c).
% 20.59/20.69 exact (zenon_H444 zenon_H44a).
% 20.59/20.69 (* end of lemma zenon_L1491_ *)
% 20.59/20.69 assert (zenon_L1492_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H500 zenon_H444 zenon_H445 zenon_H446 zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.69 apply (zenon_L1491_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.69 apply (zenon_L1431_); trivial.
% 20.59/20.69 apply (zenon_L1433_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1492_ *)
% 20.59/20.69 assert (zenon_L1493_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H214 zenon_H46d zenon_H463 zenon_H500 zenon_H444 zenon_H445 zenon_H446 zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.69 exact (zenon_H463 zenon_H464).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.69 apply (zenon_L626_); trivial.
% 20.59/20.69 apply (zenon_L1492_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1493_ *)
% 20.59/20.69 assert (zenon_L1494_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> (ndr1_0) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc zenon_H444 zenon_H445 zenon_H446 zenon_H12 zenon_H10 zenon_H11 zenon_H203.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.69 apply (zenon_L597_); trivial.
% 20.59/20.69 apply (zenon_L1493_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1494_ *)
% 20.59/20.69 assert (zenon_L1495_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H478 zenon_H219 zenon_H215 zenon_H212 zenon_H444 zenon_H445 zenon_H446 zenon_H12 zenon_H10 zenon_H11 zenon_H203.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.69 apply (zenon_L597_); trivial.
% 20.59/20.69 apply (zenon_L631_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1495_ *)
% 20.59/20.69 assert (zenon_L1496_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H325 zenon_H47b zenon_H215 zenon_H212 zenon_H203 zenon_H446 zenon_H445 zenon_H444 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H46d zenon_H219.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.69 apply (zenon_L1494_); trivial.
% 20.59/20.69 apply (zenon_L1495_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1496_ *)
% 20.59/20.69 assert (zenon_L1497_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H328 zenon_H47b zenon_H215 zenon_H212 zenon_H203 zenon_H446 zenon_H445 zenon_H444 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.69 apply (zenon_L3_); trivial.
% 20.59/20.69 apply (zenon_L1496_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1497_ *)
% 20.59/20.69 assert (zenon_L1498_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_Hc zenon_H471 zenon_H46f zenon_H470 zenon_H33e.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.59/20.69 apply (zenon_L715_); trivial.
% 20.59/20.69 apply (zenon_L484_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1498_ *)
% 20.59/20.69 assert (zenon_L1499_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_H1cf.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.69 apply (zenon_L1486_); trivial.
% 20.59/20.69 apply (zenon_L215_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1499_ *)
% 20.59/20.69 assert (zenon_L1500_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H19e zenon_H165 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_H1cf zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.69 apply (zenon_L216_); trivial.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.69 apply (zenon_L1498_); trivial.
% 20.59/20.69 apply (zenon_L1499_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1500_ *)
% 20.59/20.69 assert (zenon_L1501_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H332 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H23c zenon_H535 zenon_H533 zenon_H121 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H212 zenon_H215 zenon_H387 zenon_H23b.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.69 apply (zenon_L1489_); trivial.
% 20.59/20.69 apply (zenon_L1500_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1501_ *)
% 20.59/20.69 assert (zenon_L1502_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H47c zenon_H335 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H23c zenon_H535 zenon_H533 zenon_H121 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H387 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.69 apply (zenon_L1497_); trivial.
% 20.59/20.69 apply (zenon_L1501_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1502_ *)
% 20.59/20.69 assert (zenon_L1503_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_H435 zenon_H436 zenon_H1dd zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_Hf1 zenon_Hdd zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H387 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H33e zenon_H358 zenon_Hfc zenon_H11c zenon_H335.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.69 apply (zenon_L1470_); trivial.
% 20.59/20.69 apply (zenon_L1490_); trivial.
% 20.59/20.69 apply (zenon_L1502_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1503_ *)
% 20.59/20.69 assert (zenon_L1504_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp38)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H359 zenon_H1dd zenon_H29e zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H2f zenon_H470 zenon_H471 zenon_H46f.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.59/20.69 apply (zenon_L336_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.59/20.69 exact (zenon_H2f zenon_H30).
% 20.59/20.69 apply (zenon_L1465_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1504_ *)
% 20.59/20.69 assert (zenon_L1505_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (ndr1_0) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_Hc zenon_H338 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.59/20.69 apply (zenon_L715_); trivial.
% 20.59/20.69 apply (zenon_L1504_); trivial.
% 20.59/20.69 apply (zenon_L215_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1505_ *)
% 20.59/20.69 assert (zenon_L1506_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H37c zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.69 apply (zenon_L934_); trivial.
% 20.59/20.69 apply (zenon_L631_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1506_ *)
% 20.59/20.69 assert (zenon_L1507_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H203 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.69 apply (zenon_L1505_); trivial.
% 20.59/20.69 apply (zenon_L1506_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1507_ *)
% 20.59/20.69 assert (zenon_L1508_ : (forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11))))) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (c3_1 (a1081)) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H1a9 zenon_Hc zenon_H294 zenon_H4f zenon_H51 zenon_H50.
% 20.59/20.69 generalize (zenon_H1a9 (a1081)). zenon_intro zenon_H618.
% 20.59/20.69 apply (zenon_imply_s _ _ zenon_H618); [ zenon_intro zenon_Hb | zenon_intro zenon_H619 ].
% 20.59/20.69 exact (zenon_Hb zenon_Hc).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H619); [ zenon_intro zenon_H24b | zenon_intro zenon_H61a ].
% 20.59/20.69 generalize (zenon_H294 (a1081)). zenon_intro zenon_H61b.
% 20.59/20.69 apply (zenon_imply_s _ _ zenon_H61b); [ zenon_intro zenon_Hb | zenon_intro zenon_H61c ].
% 20.59/20.69 exact (zenon_Hb zenon_Hc).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H61c); [ zenon_intro zenon_H24f | zenon_intro zenon_H56 ].
% 20.59/20.69 exact (zenon_H24b zenon_H24f).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ].
% 20.59/20.69 exact (zenon_H59 zenon_H4f).
% 20.59/20.69 exact (zenon_H51 zenon_H58).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H61a); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ].
% 20.59/20.69 exact (zenon_H57 zenon_H50).
% 20.59/20.69 exact (zenon_H51 zenon_H58).
% 20.59/20.69 (* end of lemma zenon_L1508_ *)
% 20.59/20.69 assert (zenon_L1509_ : ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1081)) -> (~(c0_1 (a1081))) -> (c1_1 (a1081)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11))))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1051))) -> (ndr1_0) -> (~(hskp35)) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H1c8 zenon_H50 zenon_H51 zenon_H4f zenon_H294 zenon_H1b7 zenon_H1ad zenon_H14c zenon_H1af zenon_Hc zenon_H1bc.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.59/20.69 apply (zenon_L1508_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.59/20.69 apply (zenon_L105_); trivial.
% 20.59/20.69 exact (zenon_H1bc zenon_H1bd).
% 20.59/20.69 (* end of lemma zenon_L1509_ *)
% 20.59/20.69 assert (zenon_L1510_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H2a0 zenon_Hc zenon_H24a zenon_H450 zenon_H452.
% 20.59/20.69 generalize (zenon_H2a0 (a1101)). zenon_intro zenon_H61d.
% 20.59/20.69 apply (zenon_imply_s _ _ zenon_H61d); [ zenon_intro zenon_Hb | zenon_intro zenon_H61e ].
% 20.59/20.69 exact (zenon_Hb zenon_Hc).
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H61e); [ zenon_intro zenon_H459 | zenon_intro zenon_H45c ].
% 20.59/20.69 apply (zenon_L608_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H45c); [ zenon_intro zenon_H456 | zenon_intro zenon_H457 ].
% 20.59/20.69 exact (zenon_H456 zenon_H450).
% 20.59/20.69 exact (zenon_H457 zenon_H452).
% 20.59/20.69 (* end of lemma zenon_L1510_ *)
% 20.59/20.69 assert (zenon_L1511_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp35)) -> (~(c2_1 (a1051))) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (ndr1_0) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H2a6 zenon_H1bc zenon_H1af zenon_H14c zenon_H1ad zenon_H1b7 zenon_H4f zenon_H51 zenon_H50 zenon_H1c8 zenon_H29e zenon_Hc zenon_H24a zenon_H450 zenon_H452.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.59/20.69 apply (zenon_L1509_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.59/20.69 exact (zenon_H29e zenon_H29f).
% 20.59/20.69 apply (zenon_L1510_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1511_ *)
% 20.59/20.69 assert (zenon_L1512_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1081)) -> (~(c0_1 (a1081))) -> (c1_1 (a1081)) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (~(c2_1 (a1051))) -> (~(hskp35)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H265 zenon_H452 zenon_H450 zenon_H29e zenon_H1c8 zenon_H50 zenon_H51 zenon_H4f zenon_H1b7 zenon_H1ad zenon_H14c zenon_H1af zenon_H1bc zenon_H2a6 zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H263.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.59/20.69 apply (zenon_L1511_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.59/20.69 apply (zenon_L458_); trivial.
% 20.59/20.69 exact (zenon_H263 zenon_H264).
% 20.59/20.69 (* end of lemma zenon_L1512_ *)
% 20.59/20.69 assert (zenon_L1513_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c3_1 (a1081)) -> (~(c0_1 (a1081))) -> (c1_1 (a1081)) -> (ndr1_0) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp57)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H285 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H1c8 zenon_H1bc zenon_H1b7 zenon_H1ad zenon_H1af zenon_H50 zenon_H51 zenon_H4f zenon_Hc zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H230 zenon_H22e zenon_H22f zenon_H15f zenon_H166.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.59/20.69 apply (zenon_L1512_); trivial.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.59/20.69 apply (zenon_L473_); trivial.
% 20.59/20.69 exact (zenon_H15f zenon_H160).
% 20.59/20.69 apply (zenon_L998_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1513_ *)
% 20.59/20.69 assert (zenon_L1514_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H4b zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.69 apply (zenon_L1513_); trivial.
% 20.59/20.69 apply (zenon_L89_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1514_ *)
% 20.59/20.69 assert (zenon_L1515_ : ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (ndr1_0) -> (c0_1 (a1053)) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H5b zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285 zenon_Hc zenon_H3e zenon_H3d zenon_H3c zenon_H39 zenon_H3b.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.69 apply (zenon_L17_); trivial.
% 20.59/20.69 apply (zenon_L1514_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1515_ *)
% 20.59/20.69 assert (zenon_L1516_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1073)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_H4b zenon_H183 zenon_H8c zenon_H96 zenon_H95 zenon_H94 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.59/20.69 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.69 apply (zenon_L1513_); trivial.
% 20.59/20.69 apply (zenon_L91_); trivial.
% 20.59/20.69 (* end of lemma zenon_L1516_ *)
% 20.59/20.69 assert (zenon_L1517_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c0_1 (a1053)) -> (~(c2_1 (a1053))) -> (~(c1_1 (a1053))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> False).
% 20.59/20.69 do 0 intro. intros zenon_Ha0 zenon_H5b zenon_H183 zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1af zenon_H1ad zenon_H1b7 zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285 zenon_H3e zenon_H3d zenon_H3c zenon_H39 zenon_H3b.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.69 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.70 apply (zenon_L17_); trivial.
% 20.59/20.70 apply (zenon_L1516_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1517_ *)
% 20.59/20.70 assert (zenon_L1518_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H5a zenon_Ha3 zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H1c8 zenon_H1bc zenon_H1b7 zenon_H1ad zenon_H1af zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H5b.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.70 apply (zenon_L1515_); trivial.
% 20.59/20.70 apply (zenon_L1517_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1518_ *)
% 20.59/20.70 assert (zenon_L1519_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1cf zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H1c8 zenon_H1bc zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.70 apply (zenon_L995_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.59/20.70 apply (zenon_L14_); trivial.
% 20.59/20.70 apply (zenon_L1518_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1519_ *)
% 20.59/20.70 assert (zenon_L1520_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H22e zenon_H22f zenon_H230 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H121.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.70 apply (zenon_L271_); trivial.
% 20.59/20.70 apply (zenon_L631_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1520_ *)
% 20.59/20.70 assert (zenon_L1521_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H5b zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285 zenon_H39 zenon_H3b zenon_H1cf.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.70 apply (zenon_L1519_); trivial.
% 20.59/20.70 apply (zenon_L1520_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1521_ *)
% 20.59/20.70 assert (zenon_L1522_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp38)) -> (ndr1_0) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1dd zenon_H223 zenon_H21c zenon_H21a zenon_H60 zenon_H5e zenon_H6c zenon_H2f zenon_Hc zenon_H470 zenon_H471 zenon_H46f.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.59/20.70 apply (zenon_L145_); trivial.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.59/20.70 exact (zenon_H2f zenon_H30).
% 20.59/20.70 apply (zenon_L1465_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1522_ *)
% 20.59/20.70 assert (zenon_L1523_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (ndr1_0) -> (~(hskp47)) -> (~(hskp38)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_Hc zenon_H60 zenon_H2f zenon_H470 zenon_H471 zenon_H46f zenon_H1dd.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.70 apply (zenon_L1522_); trivial.
% 20.59/20.70 apply (zenon_L33_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1523_ *)
% 20.59/20.70 assert (zenon_L1524_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(hskp38)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_Ha3 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H2f zenon_H60 zenon_Hc zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.70 apply (zenon_L1523_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.70 apply (zenon_L1522_); trivial.
% 20.59/20.70 apply (zenon_L37_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1524_ *)
% 20.59/20.70 assert (zenon_L1525_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.70 apply (zenon_L1524_); trivial.
% 20.59/20.70 apply (zenon_L214_); trivial.
% 20.59/20.70 apply (zenon_L215_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1525_ *)
% 20.59/20.70 assert (zenon_L1526_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H1cf zenon_H3b zenon_H39 zenon_H1c8 zenon_H450 zenon_H452 zenon_H5b zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_H121 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H166 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.70 apply (zenon_L1507_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.70 apply (zenon_L1498_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.70 apply (zenon_L1521_); trivial.
% 20.59/20.70 apply (zenon_L1525_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1526_ *)
% 20.59/20.70 assert (zenon_L1527_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H325 zenon_H47b zenon_H450 zenon_H452 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_Hf1 zenon_Hdd zenon_H23c zenon_H23b.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.70 apply (zenon_L1462_); trivial.
% 20.59/20.70 apply (zenon_L1526_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1527_ *)
% 20.59/20.70 assert (zenon_L1528_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H328 zenon_H47b zenon_H450 zenon_H452 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_Hf1 zenon_Hdd zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.70 apply (zenon_L3_); trivial.
% 20.59/20.70 apply (zenon_L1527_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1528_ *)
% 20.59/20.70 assert (zenon_L1529_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H481 zenon_H335 zenon_H11c zenon_Hfc zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hdd zenon_Hf1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H47b zenon_H328.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.70 apply (zenon_L1528_); trivial.
% 20.59/20.70 apply (zenon_L1501_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1529_ *)
% 20.59/20.70 assert (zenon_L1530_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.59/20.70 apply (zenon_L1427_); trivial.
% 20.59/20.70 apply (zenon_L248_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1530_ *)
% 20.59/20.70 assert (zenon_L1531_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1ce zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H3f5.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f6 ].
% 20.59/20.70 exact (zenon_H212 zenon_H213).
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H3f7 ].
% 20.59/20.70 exact (zenon_H3f3 zenon_H3f4).
% 20.59/20.70 apply (zenon_L1448_); trivial.
% 20.59/20.70 apply (zenon_L305_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1531_ *)
% 20.59/20.70 assert (zenon_L1532_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1ed zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H3f5 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.59/20.70 apply (zenon_L226_); trivial.
% 20.59/20.70 apply (zenon_L1531_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1532_ *)
% 20.59/20.70 assert (zenon_L1533_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1ec zenon_H358 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H183 zenon_H338 zenon_H33e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H3f5 zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f3 zenon_H212 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1ed.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.59/20.70 apply (zenon_L1532_); trivial.
% 20.59/20.70 apply (zenon_L1471_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1533_ *)
% 20.59/20.70 assert (zenon_L1534_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H19e zenon_H165 zenon_H215 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H1cf zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.70 apply (zenon_L216_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.70 apply (zenon_L1533_); trivial.
% 20.59/20.70 apply (zenon_L1499_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1534_ *)
% 20.59/20.70 assert (zenon_L1535_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H335 zenon_H387 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H3f3 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H33e zenon_H358 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hdd zenon_Hf1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H1dd zenon_H436 zenon_H433 zenon_H435 zenon_H47b zenon_H328.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.70 apply (zenon_L1470_); trivial.
% 20.59/20.70 apply (zenon_L1534_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1535_ *)
% 20.59/20.70 assert (zenon_L1536_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp5)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_H387 zenon_H19e zenon_H165 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H1cf zenon_H1ed zenon_H319 zenon_H3f3 zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.70 apply (zenon_L1497_); trivial.
% 20.59/20.70 apply (zenon_L1534_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1536_ *)
% 20.59/20.70 assert (zenon_L1537_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H481 zenon_H335 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H3f3 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hdd zenon_Hf1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H47b zenon_H328.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.70 apply (zenon_L1528_); trivial.
% 20.59/20.70 apply (zenon_L1534_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1537_ *)
% 20.59/20.70 assert (zenon_L1538_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp42)) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H1f1 zenon_H436 zenon_H433 zenon_H435.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.70 apply (zenon_L559_); trivial.
% 20.59/20.70 apply (zenon_L270_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1538_ *)
% 20.59/20.70 assert (zenon_L1539_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H500 zenon_Hff zenon_H100 zenon_H101 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H25 zenon_H23 zenon_H24 zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.70 apply (zenon_L1451_); trivial.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.70 apply (zenon_L940_); trivial.
% 20.59/20.70 apply (zenon_L1433_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1539_ *)
% 20.59/20.70 assert (zenon_L1540_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1f zenon_H46d zenon_H463 zenon_H207 zenon_H208 zenon_H206 zenon_H500 zenon_Hff zenon_H100 zenon_H101 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H5eb zenon_H5ed.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.70 exact (zenon_H463 zenon_H464).
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.70 apply (zenon_L626_); trivial.
% 20.59/20.70 apply (zenon_L1539_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1540_ *)
% 20.59/20.70 assert (zenon_L1541_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> (~(hskp31)) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H11b zenon_H2e zenon_H46d zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H5eb zenon_H5ed zenon_H500 zenon_H207 zenon_H208 zenon_H206 zenon_H463 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.70 apply (zenon_L7_); trivial.
% 20.59/20.70 apply (zenon_L1540_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1541_ *)
% 20.59/20.70 assert (zenon_L1542_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H237 zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.70 apply (zenon_L1538_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.70 apply (zenon_L559_); trivial.
% 20.59/20.70 apply (zenon_L1541_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1542_ *)
% 20.59/20.70 assert (zenon_L1543_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H23b zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.70 apply (zenon_L251_); trivial.
% 20.59/20.70 apply (zenon_L1542_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1543_ *)
% 20.59/20.70 assert (zenon_L1544_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H1dd zenon_H121 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.70 apply (zenon_L251_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.70 apply (zenon_L1467_); trivial.
% 20.59/20.70 apply (zenon_L1520_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1544_ *)
% 20.59/20.70 assert (zenon_L1545_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H325 zenon_H47b zenon_Hc8 zenon_H215 zenon_H212 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.70 apply (zenon_L1543_); trivial.
% 20.59/20.70 apply (zenon_L1544_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1545_ *)
% 20.59/20.70 assert (zenon_L1546_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_H215 zenon_H212 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.70 apply (zenon_L3_); trivial.
% 20.59/20.70 apply (zenon_L1545_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1546_ *)
% 20.59/20.70 assert (zenon_L1547_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H338 zenon_H358 zenon_H1ec.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.70 apply (zenon_L1472_); trivial.
% 20.59/20.70 apply (zenon_L276_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1547_ *)
% 20.59/20.70 assert (zenon_L1548_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_Hc8 zenon_H33 zenon_H31 zenon_H319 zenon_H93 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f9 zenon_H307 zenon_H1dd zenon_H500 zenon_H21a zenon_H21c zenon_H223 zenon_H2e zenon_Ha3 zenon_Hc0 zenon_Hc5 zenon_Hc9.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.70 apply (zenon_L1009_); trivial.
% 20.59/20.70 apply (zenon_L46_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1548_ *)
% 20.59/20.70 assert (zenon_L1549_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp11)) -> (ndr1_0) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H127 zenon_H126 zenon_H125 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H39 zenon_H3b zenon_H2f zenon_H31 zenon_H33 zenon_H533 zenon_Hc zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.70 apply (zenon_L875_); trivial.
% 20.59/20.70 apply (zenon_L195_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1549_ *)
% 20.59/20.70 assert (zenon_L1550_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.70 apply (zenon_L1549_); trivial.
% 20.59/20.70 apply (zenon_L276_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1550_ *)
% 20.59/20.70 assert (zenon_L1551_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H23b zenon_H387 zenon_H215 zenon_H212 zenon_H40d zenon_Hc8 zenon_H273 zenon_H25e zenon_H32b zenon_H32a zenon_H329 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H358 zenon_H1ec zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_Hc5 zenon_H1eb zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H265 zenon_H39 zenon_H3b zenon_H533 zenon_H535 zenon_H132 zenon_H23c zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hc zenon_Hdd zenon_H249.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.70 apply (zenon_L252_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.70 apply (zenon_L1547_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.70 apply (zenon_L1548_); trivial.
% 20.59/20.70 apply (zenon_L1550_); trivial.
% 20.59/20.70 apply (zenon_L1487_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1551_ *)
% 20.59/20.70 assert (zenon_L1552_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.59/20.70 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_Hc8 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_H1cf zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.70 apply (zenon_L251_); trivial.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.70 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.70 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.70 apply (zenon_L1498_); trivial.
% 20.59/20.70 apply (zenon_L1487_); trivial.
% 20.59/20.70 (* end of lemma zenon_L1552_ *)
% 20.59/20.70 assert (zenon_L1553_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H332 zenon_H47b zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H23c zenon_H132 zenon_H535 zenon_H533 zenon_H3b zenon_H39 zenon_H265 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H25e zenon_H273 zenon_Hc8 zenon_H40d zenon_H212 zenon_H215 zenon_H387 zenon_H23b.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.71 apply (zenon_L1551_); trivial.
% 20.59/20.71 apply (zenon_L1552_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1553_ *)
% 20.59/20.71 assert (zenon_L1554_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H335 zenon_H249 zenon_H255 zenon_H256 zenon_H23c zenon_H132 zenon_H535 zenon_H533 zenon_H3b zenon_H39 zenon_H265 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H1eb zenon_Hc0 zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H5ec zenon_H149 zenon_Hc9 zenon_H165 zenon_H166 zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H25e zenon_H273 zenon_H40d zenon_H387 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H203 zenon_H121 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H212 zenon_H215 zenon_Hc8 zenon_H47b zenon_H328.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.71 apply (zenon_L1546_); trivial.
% 20.59/20.71 apply (zenon_L1553_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1554_ *)
% 20.59/20.71 assert (zenon_L1555_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H47c zenon_H335 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H23c zenon_H132 zenon_H535 zenon_H533 zenon_H3b zenon_H39 zenon_H265 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H25e zenon_H273 zenon_Hc8 zenon_H40d zenon_H387 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.71 apply (zenon_L1497_); trivial.
% 20.59/20.71 apply (zenon_L1553_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1555_ *)
% 20.59/20.71 assert (zenon_L1556_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_Hc8 zenon_H215 zenon_H212 zenon_H219 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H5a1 zenon_H59f zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H338 zenon_H358 zenon_H1ec.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.71 apply (zenon_L1472_); trivial.
% 20.59/20.71 apply (zenon_L1460_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1556_ *)
% 20.59/20.71 assert (zenon_L1557_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_H1ec zenon_H358 zenon_H338 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H59f zenon_H5a1 zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H219 zenon_H212 zenon_H215 zenon_Hc8.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.71 apply (zenon_L1556_); trivial.
% 20.59/20.71 apply (zenon_L1461_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1557_ *)
% 20.59/20.71 assert (zenon_L1558_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H1ed zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H5b zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285 zenon_H39 zenon_H3b zenon_H1cf.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.71 apply (zenon_L1519_); trivial.
% 20.59/20.71 apply (zenon_L1460_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1558_ *)
% 20.59/20.71 assert (zenon_L1559_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H22b zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H533 zenon_H535.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.71 apply (zenon_L875_); trivial.
% 20.59/20.71 apply (zenon_L915_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1559_ *)
% 20.59/20.71 assert (zenon_L1560_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H23c zenon_H1eb zenon_H277 zenon_H275 zenon_H25e zenon_H273 zenon_H533 zenon_H535 zenon_H1cf zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H1c8 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.71 apply (zenon_L252_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.71 apply (zenon_L1498_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.71 apply (zenon_L1521_); trivial.
% 20.59/20.71 apply (zenon_L1559_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1560_ *)
% 20.59/20.71 assert (zenon_L1561_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22)))))) -> (c2_1 (a1083)) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H8c zenon_H157 zenon_H158 zenon_H1f6 zenon_H156 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.59/20.71 apply (zenon_L61_); trivial.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.59/20.71 apply (zenon_L127_); trivial.
% 20.59/20.71 apply (zenon_L64_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1561_ *)
% 20.59/20.71 assert (zenon_L1562_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp42)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H11b zenon_H203 zenon_H1f1 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H12 zenon_H10 zenon_H11.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H204 ].
% 20.59/20.71 exact (zenon_H1f1 zenon_H1f2).
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1ff ].
% 20.59/20.71 apply (zenon_L1561_); trivial.
% 20.59/20.71 apply (zenon_L267_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1562_ *)
% 20.59/20.71 assert (zenon_L1563_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1083))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H20f zenon_Hc zenon_H158 zenon_H4e9 zenon_H156 zenon_H157.
% 20.59/20.71 generalize (zenon_H20f (a1083)). zenon_intro zenon_H61f.
% 20.59/20.71 apply (zenon_imply_s _ _ zenon_H61f); [ zenon_intro zenon_Hb | zenon_intro zenon_H620 ].
% 20.59/20.71 exact (zenon_Hb zenon_Hc).
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H620); [ zenon_intro zenon_H15d | zenon_intro zenon_H1f9 ].
% 20.59/20.71 exact (zenon_H158 zenon_H15d).
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fa | zenon_intro zenon_H15e ].
% 20.59/20.71 apply (zenon_L845_); trivial.
% 20.59/20.71 exact (zenon_H15e zenon_H157).
% 20.59/20.71 (* end of lemma zenon_L1563_ *)
% 20.59/20.71 assert (zenon_L1564_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H500 zenon_H157 zenon_H156 zenon_H158 zenon_H20f zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.71 apply (zenon_L1563_); trivial.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.71 apply (zenon_L1431_); trivial.
% 20.59/20.71 apply (zenon_L1433_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1564_ *)
% 20.59/20.71 assert (zenon_L1565_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp4)) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H214 zenon_H46d zenon_H463 zenon_H215 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H157 zenon_H500 zenon_H212.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.71 exact (zenon_H463 zenon_H464).
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.71 apply (zenon_L626_); trivial.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.59/20.71 apply (zenon_L136_); trivial.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.59/20.71 apply (zenon_L1564_); trivial.
% 20.59/20.71 exact (zenon_H212 zenon_H213).
% 20.59/20.71 (* end of lemma zenon_L1565_ *)
% 20.59/20.71 assert (zenon_L1566_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.71 apply (zenon_L559_); trivial.
% 20.59/20.71 apply (zenon_L1562_); trivial.
% 20.59/20.71 apply (zenon_L1565_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1566_ *)
% 20.59/20.71 assert (zenon_L1567_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H325 zenon_H47b zenon_H23b zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.71 apply (zenon_L1566_); trivial.
% 20.59/20.71 apply (zenon_L1544_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1567_ *)
% 20.59/20.71 assert (zenon_L1568_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23b zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.71 apply (zenon_L3_); trivial.
% 20.59/20.71 apply (zenon_L1567_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1568_ *)
% 20.59/20.71 assert (zenon_L1569_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H500 zenon_H157 zenon_H158 zenon_H156 zenon_H26c zenon_H3f7 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.71 apply (zenon_L846_); trivial.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.71 apply (zenon_L1431_); trivial.
% 20.59/20.71 apply (zenon_L1447_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1569_ *)
% 20.59/20.71 assert (zenon_L1570_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> False).
% 20.59/20.71 do 0 intro. intros zenon_Hbf zenon_H3f5 zenon_H212 zenon_H3f3 zenon_H277 zenon_H8c zenon_H5ed zenon_H5eb zenon_H5ec zenon_H156 zenon_H158 zenon_H157 zenon_H500 zenon_H275.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f6 ].
% 20.59/20.71 exact (zenon_H212 zenon_H213).
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H3f7 ].
% 20.59/20.71 exact (zenon_H3f3 zenon_H3f4).
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.59/20.71 apply (zenon_L201_); trivial.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.59/20.71 apply (zenon_L1569_); trivial.
% 20.59/20.71 exact (zenon_H275 zenon_H276).
% 20.59/20.71 (* end of lemma zenon_L1570_ *)
% 20.59/20.71 assert (zenon_L1571_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.71 apply (zenon_L39_); trivial.
% 20.59/20.71 apply (zenon_L1570_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1571_ *)
% 20.59/20.71 assert (zenon_L1572_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_Hc5 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H3f3 zenon_H212 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.71 apply (zenon_L1549_); trivial.
% 20.59/20.71 apply (zenon_L1571_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1572_ *)
% 20.59/20.71 assert (zenon_L1573_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H23c zenon_H132 zenon_H3f5 zenon_H157 zenon_H158 zenon_H156 zenon_H3f3 zenon_H212 zenon_H535 zenon_H533 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H358 zenon_H338 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H329 zenon_H32a zenon_H32b zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.71 apply (zenon_L1547_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.71 apply (zenon_L1548_); trivial.
% 20.59/20.71 apply (zenon_L1572_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1573_ *)
% 20.59/20.71 assert (zenon_L1574_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H332 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H23c zenon_H132 zenon_H3f5 zenon_H157 zenon_H158 zenon_H156 zenon_H3f3 zenon_H212 zenon_H535 zenon_H533 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8 zenon_H40d zenon_H215 zenon_H387 zenon_H23b.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.71 apply (zenon_L251_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.71 apply (zenon_L1573_); trivial.
% 20.59/20.71 apply (zenon_L1487_); trivial.
% 20.59/20.71 apply (zenon_L1552_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1574_ *)
% 20.59/20.71 assert (zenon_L1575_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp5)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H47c zenon_H335 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H23c zenon_H132 zenon_H3f5 zenon_H157 zenon_H158 zenon_H156 zenon_H3f3 zenon_H535 zenon_H533 zenon_H3b zenon_H39 zenon_H249 zenon_Hdd zenon_H265 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8 zenon_H40d zenon_H387 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.71 apply (zenon_L1497_); trivial.
% 20.59/20.71 apply (zenon_L1574_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1575_ *)
% 20.59/20.71 assert (zenon_L1576_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H3f5 zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.71 apply (zenon_L1445_); trivial.
% 20.59/20.71 apply (zenon_L1571_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1576_ *)
% 20.59/20.71 assert (zenon_L1577_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H25e zenon_H273 zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_H33e zenon_H358 zenon_H256 zenon_H255 zenon_H249 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H3f5 zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_Hf1 zenon_Hdd zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.71 apply (zenon_L3_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.71 apply (zenon_L251_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.71 apply (zenon_L1576_); trivial.
% 20.59/20.71 apply (zenon_L1461_); trivial.
% 20.59/20.71 apply (zenon_L1560_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1577_ *)
% 20.59/20.71 assert (zenon_L1578_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.71 apply (zenon_L3_); trivial.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.71 apply (zenon_L1543_); trivial.
% 20.59/20.71 apply (zenon_L1468_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1578_ *)
% 20.59/20.71 assert (zenon_L1579_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H332 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H23c zenon_H535 zenon_H533 zenon_H121 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H212 zenon_H215 zenon_H387 zenon_H23b.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.71 apply (zenon_L251_); trivial.
% 20.59/20.71 apply (zenon_L1488_); trivial.
% 20.59/20.71 apply (zenon_L1552_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1579_ *)
% 20.59/20.71 assert (zenon_L1580_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H47c zenon_H335 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H23c zenon_H535 zenon_H533 zenon_H121 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1dd zenon_H1eb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H387 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.71 apply (zenon_L1497_); trivial.
% 20.59/20.71 apply (zenon_L1579_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1580_ *)
% 20.59/20.71 assert (zenon_L1581_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H481 zenon_H335 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H11c zenon_Hfc zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hdd zenon_Hf1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H47b zenon_H328.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.71 apply (zenon_L1528_); trivial.
% 20.59/20.71 apply (zenon_L1579_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1581_ *)
% 20.59/20.71 assert (zenon_L1582_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H335 zenon_H23c zenon_H535 zenon_H533 zenon_H11c zenon_Hfc zenon_H5a1 zenon_H59f zenon_H1eb zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H149 zenon_Hc9 zenon_H165 zenon_H166 zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H273 zenon_H277 zenon_H275 zenon_H40d zenon_H387 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_Hc8 zenon_H23b zenon_H47b zenon_H328.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.71 apply (zenon_L1568_); trivial.
% 20.59/20.71 apply (zenon_L1579_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1582_ *)
% 20.59/20.71 assert (zenon_L1583_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c2_1 (a1053))) -> (c0_1 (a1053)) -> (~(c1_1 (a1053))) -> (ndr1_0) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H3d zenon_H3e zenon_H3c zenon_Hc zenon_H161 zenon_H163 zenon_H165.
% 20.59/20.71 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.71 apply (zenon_L1312_); trivial.
% 20.59/20.71 apply (zenon_L89_); trivial.
% 20.59/20.71 (* end of lemma zenon_L1583_ *)
% 20.59/20.71 assert (zenon_L1584_ : ((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.59/20.71 do 0 intro. intros zenon_H5a zenon_Ha3 zenon_H165 zenon_H163 zenon_H161 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_Hc. zenon_intro zenon_H5c.
% 20.59/20.71 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H3c. zenon_intro zenon_H5d.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H3d. zenon_intro zenon_H3e.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.72 apply (zenon_L1583_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.72 apply (zenon_L1312_); trivial.
% 20.59/20.72 apply (zenon_L91_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1584_ *)
% 20.59/20.72 assert (zenon_L1585_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H161 zenon_H165 zenon_Ha3 zenon_Hc9.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H34 | zenon_intro zenon_H5a ].
% 20.59/20.72 apply (zenon_L14_); trivial.
% 20.59/20.72 apply (zenon_L1584_); trivial.
% 20.59/20.72 apply (zenon_L100_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1585_ *)
% 20.59/20.72 assert (zenon_L1586_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H1cb zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H48c zenon_H48a zenon_H1f1 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.72 apply (zenon_L712_); trivial.
% 20.59/20.72 apply (zenon_L341_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1586_ *)
% 20.59/20.72 assert (zenon_L1587_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H48c zenon_H48a zenon_H1f1 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.72 apply (zenon_L1585_); trivial.
% 20.59/20.72 apply (zenon_L1586_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1587_ *)
% 20.59/20.72 assert (zenon_L1588_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1059))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H20f zenon_Hc zenon_H341 zenon_H4e9 zenon_H342 zenon_H340.
% 20.59/20.72 generalize (zenon_H20f (a1059)). zenon_intro zenon_H621.
% 20.59/20.72 apply (zenon_imply_s _ _ zenon_H621); [ zenon_intro zenon_Hb | zenon_intro zenon_H622 ].
% 20.59/20.72 exact (zenon_Hb zenon_Hc).
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H622); [ zenon_intro zenon_H348 | zenon_intro zenon_H376 ].
% 20.59/20.72 exact (zenon_H341 zenon_H348).
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H377 | zenon_intro zenon_H346 ].
% 20.59/20.72 apply (zenon_L1056_); trivial.
% 20.59/20.72 exact (zenon_H346 zenon_H340).
% 20.59/20.72 (* end of lemma zenon_L1588_ *)
% 20.59/20.72 assert (zenon_L1589_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H500 zenon_H340 zenon_H342 zenon_H341 zenon_H20f zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.72 apply (zenon_L1588_); trivial.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.72 apply (zenon_L1431_); trivial.
% 20.59/20.72 apply (zenon_L1433_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1589_ *)
% 20.59/20.72 assert (zenon_L1590_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> (c0_1 (a1046)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp4)) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H215 zenon_H208 zenon_H207 zenon_H206 zenon_H5ed zenon_H5eb zenon_Hc zenon_H469 zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H500 zenon_H212.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.59/20.72 apply (zenon_L136_); trivial.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.59/20.72 apply (zenon_L1589_); trivial.
% 20.59/20.72 exact (zenon_H212 zenon_H213).
% 20.59/20.72 (* end of lemma zenon_L1590_ *)
% 20.59/20.72 assert (zenon_L1591_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp4)) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H214 zenon_H46d zenon_H463 zenon_H215 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H500 zenon_H212.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.72 exact (zenon_H463 zenon_H464).
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.72 apply (zenon_L626_); trivial.
% 20.59/20.72 apply (zenon_L1590_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1591_ *)
% 20.59/20.72 assert (zenon_L1592_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L1587_); trivial.
% 20.59/20.72 apply (zenon_L1591_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1592_ *)
% 20.59/20.72 assert (zenon_L1593_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H340 zenon_H341 zenon_H342 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H121.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L358_); trivial.
% 20.59/20.72 apply (zenon_L1591_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1593_ *)
% 20.59/20.72 assert (zenon_L1594_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H1cf zenon_H48c zenon_H48a zenon_H1f1 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.72 apply (zenon_L1585_); trivial.
% 20.59/20.72 apply (zenon_L713_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1594_ *)
% 20.59/20.72 assert (zenon_L1595_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H1cf.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L1594_); trivial.
% 20.59/20.72 apply (zenon_L631_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1595_ *)
% 20.59/20.72 assert (zenon_L1596_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H340 zenon_H341 zenon_H342 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H121.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L358_); trivial.
% 20.59/20.72 apply (zenon_L631_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1596_ *)
% 20.59/20.72 assert (zenon_L1597_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H212 zenon_H215 zenon_H219.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1595_); trivial.
% 20.59/20.72 apply (zenon_L1596_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1597_ *)
% 20.59/20.72 assert (zenon_L1598_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H1cf.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L1594_); trivial.
% 20.59/20.72 apply (zenon_L628_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1598_ *)
% 20.59/20.72 assert (zenon_L1599_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp31)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H463 zenon_H32b zenon_H32a zenon_H329 zenon_H46d zenon_H219.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1598_); trivial.
% 20.59/20.72 apply (zenon_L276_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1599_ *)
% 20.59/20.72 assert (zenon_L1600_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H332 zenon_H47b zenon_H212 zenon_H215 zenon_H219 zenon_H46d zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H1cf zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.72 apply (zenon_L1599_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1595_); trivial.
% 20.59/20.72 apply (zenon_L276_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1600_ *)
% 20.59/20.72 assert (zenon_L1601_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp31)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H48c zenon_H48a zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H463 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1592_); trivial.
% 20.59/20.72 apply (zenon_L215_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1601_ *)
% 20.59/20.72 assert (zenon_L1602_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L1587_); trivial.
% 20.59/20.72 apply (zenon_L631_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1602_ *)
% 20.59/20.72 assert (zenon_L1603_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H121 zenon_H230 zenon_H22f zenon_H22e zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_Hc zenon_H8c zenon_H8f zenon_H93 zenon_H1f1 zenon_Hf1 zenon_H342 zenon_H341 zenon_H340 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.72 apply (zenon_L357_); trivial.
% 20.59/20.72 apply (zenon_L270_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1603_ *)
% 20.59/20.72 assert (zenon_L1604_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H340 zenon_H341 zenon_H342 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H22e zenon_H22f zenon_H230 zenon_H121.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.72 apply (zenon_L1603_); trivial.
% 20.59/20.72 apply (zenon_L631_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1604_ *)
% 20.59/20.72 assert (zenon_L1605_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H48c zenon_H48a zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H46f zenon_H470 zenon_H471 zenon_H212 zenon_H215 zenon_H219.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1602_); trivial.
% 20.59/20.72 apply (zenon_L1604_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1605_ *)
% 20.59/20.72 assert (zenon_L1606_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hdd zenon_Hf1 zenon_H121 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc9 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.72 apply (zenon_L1507_); trivial.
% 20.59/20.72 apply (zenon_L1605_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1606_ *)
% 20.59/20.72 assert (zenon_L1607_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23b zenon_Hdd zenon_Hf1 zenon_H121 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.72 apply (zenon_L3_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.72 apply (zenon_L1601_); trivial.
% 20.59/20.72 apply (zenon_L1606_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1607_ *)
% 20.59/20.72 assert (zenon_L1608_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp31)) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H1cf zenon_H48c zenon_H48a zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H463 zenon_H32b zenon_H32a zenon_H329 zenon_H46d zenon_H219.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1598_); trivial.
% 20.59/20.72 apply (zenon_L215_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1608_ *)
% 20.59/20.72 assert (zenon_L1609_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H332 zenon_H47b zenon_H212 zenon_H215 zenon_H219 zenon_H46d zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H1cf zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.72 apply (zenon_L1608_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1595_); trivial.
% 20.59/20.72 apply (zenon_L215_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1609_ *)
% 20.59/20.72 assert (zenon_L1610_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H2de zenon_H2b9 zenon_H249 zenon_H23b zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_H2a6 zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc zenon_H328 zenon_H47b zenon_H219 zenon_H46d zenon_H500 zenon_H212 zenon_H215 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H121 zenon_H6c zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_Hc8 zenon_H6 zenon_H5 zenon_H273 zenon_H335 zenon_H2e0.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.59/20.72 apply (zenon_L1427_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.72 apply (zenon_L3_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.72 apply (zenon_L1592_); trivial.
% 20.59/20.72 apply (zenon_L1593_); trivial.
% 20.59/20.72 apply (zenon_L1597_); trivial.
% 20.59/20.72 apply (zenon_L1600_); trivial.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.72 apply (zenon_L1607_); trivial.
% 20.59/20.72 apply (zenon_L1609_); trivial.
% 20.59/20.72 apply (zenon_L223_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1610_ *)
% 20.59/20.72 assert (zenon_L1611_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H2e0 zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1cf zenon_H203 zenon_H48c zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H215 zenon_H212 zenon_H500 zenon_H46d zenon_H219 zenon_H47b zenon_H328 zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20 zenon_H2a6 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H23b zenon_H249 zenon_H2b9 zenon_H2de.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.59/20.72 apply (zenon_L1610_); trivial.
% 20.59/20.72 apply (zenon_L730_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1611_ *)
% 20.59/20.72 assert (zenon_L1612_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H282 zenon_H277 zenon_H5ec zenon_H5ed zenon_H5eb zenon_H230 zenon_H22f zenon_H22e zenon_H500 zenon_H60 zenon_H40d zenon_H275.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.59/20.72 apply (zenon_L181_); trivial.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.59/20.72 apply (zenon_L1482_); trivial.
% 20.59/20.72 exact (zenon_H275 zenon_H276).
% 20.59/20.72 (* end of lemma zenon_L1612_ *)
% 20.59/20.72 assert (zenon_L1613_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H285 zenon_H165 zenon_H163 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H60 zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.59/20.72 apply (zenon_L567_); trivial.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.59/20.72 apply (zenon_L1482_); trivial.
% 20.59/20.72 exact (zenon_H275 zenon_H276).
% 20.59/20.72 apply (zenon_L1612_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1613_ *)
% 20.59/20.72 assert (zenon_L1614_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp43)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_Hf1 zenon_Hee zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.72 apply (zenon_L1613_); trivial.
% 20.59/20.72 apply (zenon_L268_); trivial.
% 20.59/20.72 apply (zenon_L994_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1614_ *)
% 20.59/20.72 assert (zenon_L1615_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.72 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.72 apply (zenon_L1484_); trivial.
% 20.59/20.72 apply (zenon_L268_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1615_ *)
% 20.59/20.72 assert (zenon_L1616_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.72 apply (zenon_L1614_); trivial.
% 20.59/20.72 apply (zenon_L1615_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1616_ *)
% 20.59/20.72 assert (zenon_L1617_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_Hf1 zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf.
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.72 apply (zenon_L1616_); trivial.
% 20.59/20.72 apply (zenon_L270_); trivial.
% 20.59/20.72 (* end of lemma zenon_L1617_ *)
% 20.59/20.72 assert (zenon_L1618_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (ndr1_0) -> (c0_1 (a1046)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> False).
% 20.59/20.72 do 0 intro. intros zenon_H14c zenon_Hc zenon_H206 zenon_H5ac zenon_H208 zenon_H207.
% 20.59/20.72 generalize (zenon_H14c (a1046)). zenon_intro zenon_H623.
% 20.59/20.72 apply (zenon_imply_s _ _ zenon_H623); [ zenon_intro zenon_Hb | zenon_intro zenon_H624 ].
% 20.59/20.72 exact (zenon_Hb zenon_Hc).
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H624); [ zenon_intro zenon_H20c | zenon_intro zenon_H625 ].
% 20.59/20.72 exact (zenon_H20c zenon_H206).
% 20.59/20.72 apply (zenon_or_s _ _ zenon_H625); [ zenon_intro zenon_H626 | zenon_intro zenon_H20e ].
% 20.59/20.72 generalize (zenon_H5ac (a1046)). zenon_intro zenon_H627.
% 20.59/20.72 apply (zenon_imply_s _ _ zenon_H627); [ zenon_intro zenon_Hb | zenon_intro zenon_H628 ].
% 20.59/20.72 exact (zenon_Hb zenon_Hc).
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H20c | zenon_intro zenon_H629 ].
% 20.59/20.73 exact (zenon_H20c zenon_H206).
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_H20d | zenon_intro zenon_H62a ].
% 20.59/20.73 exact (zenon_H20d zenon_H208).
% 20.59/20.73 exact (zenon_H626 zenon_H62a).
% 20.59/20.73 exact (zenon_H207 zenon_H20e).
% 20.59/20.73 (* end of lemma zenon_L1618_ *)
% 20.59/20.73 assert (zenon_L1619_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (c0_1 (a1046)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H166 zenon_H207 zenon_H208 zenon_H5ac zenon_H206 zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.59/20.73 apply (zenon_L1618_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.59/20.73 apply (zenon_L473_); trivial.
% 20.59/20.73 exact (zenon_H15f zenon_H160).
% 20.59/20.73 (* end of lemma zenon_L1619_ *)
% 20.59/20.73 assert (zenon_L1620_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H1f zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H207 zenon_H208 zenon_H206 zenon_H5b0.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.59/20.73 apply (zenon_L213_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.59/20.73 apply (zenon_L1230_); trivial.
% 20.59/20.73 apply (zenon_L1619_); trivial.
% 20.59/20.73 apply (zenon_L89_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1620_ *)
% 20.59/20.73 assert (zenon_L1621_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H207 zenon_H208 zenon_H206 zenon_H5b0 zenon_H9 zenon_Hc zenon_H12 zenon_H11 zenon_H10 zenon_Hf.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.73 apply (zenon_L7_); trivial.
% 20.59/20.73 apply (zenon_L1620_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1621_ *)
% 20.59/20.73 assert (zenon_L1622_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H8c zenon_H22e zenon_H22f zenon_H4e9 zenon_H230 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.59/20.73 apply (zenon_L35_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.59/20.73 apply (zenon_L1450_); trivial.
% 20.59/20.73 apply (zenon_L36_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1622_ *)
% 20.59/20.73 assert (zenon_L1623_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H500 zenon_H96 zenon_H94 zenon_H95 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H25 zenon_H23 zenon_H24 zenon_H3f7 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.73 apply (zenon_L1622_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.73 apply (zenon_L940_); trivial.
% 20.59/20.73 apply (zenon_L1447_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1623_ *)
% 20.59/20.73 assert (zenon_L1624_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> (~(hskp43)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H1f zenon_H5a1 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H95 zenon_H94 zenon_H96 zenon_H500 zenon_H59f zenon_Hee.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H5a2 ].
% 20.59/20.73 apply (zenon_L1623_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_H5a0 | zenon_intro zenon_Hef ].
% 20.59/20.73 exact (zenon_H59f zenon_H5a0).
% 20.59/20.73 exact (zenon_Hee zenon_Hef).
% 20.59/20.73 (* end of lemma zenon_L1624_ *)
% 20.59/20.73 assert (zenon_L1625_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp43)) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_Ha0 zenon_H2e zenon_H5a1 zenon_Hee zenon_H59f zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.73 apply (zenon_L7_); trivial.
% 20.59/20.73 apply (zenon_L1624_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1625_ *)
% 20.59/20.73 assert (zenon_L1626_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp43)) -> (~(hskp13)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1046)) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_Hbf zenon_Ha3 zenon_H5a1 zenon_Hee zenon_H59f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H206 zenon_H208 zenon_H207 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2e.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.73 apply (zenon_L1621_); trivial.
% 20.59/20.73 apply (zenon_L1625_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1626_ *)
% 20.59/20.73 assert (zenon_L1627_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> (~(hskp43)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H19e zenon_H285 zenon_H165 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H207 zenon_H208 zenon_H206 zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H59f zenon_Hee zenon_H5a1 zenon_Ha3 zenon_Hc5.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.73 apply (zenon_L1613_); trivial.
% 20.59/20.73 apply (zenon_L1626_); trivial.
% 20.59/20.73 apply (zenon_L100_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1627_ *)
% 20.59/20.73 assert (zenon_L1628_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H500 zenon_H96 zenon_H94 zenon_H95 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H25 zenon_H23 zenon_H24 zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.73 apply (zenon_L1622_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.73 apply (zenon_L940_); trivial.
% 20.59/20.73 apply (zenon_L1433_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1628_ *)
% 20.59/20.73 assert (zenon_L1629_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H1f zenon_H46d zenon_H463 zenon_H1af zenon_H1b7 zenon_H1ad zenon_H500 zenon_H96 zenon_H94 zenon_H95 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H5eb zenon_H5ed.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.73 exact (zenon_H463 zenon_H464).
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.73 apply (zenon_L1429_); trivial.
% 20.59/20.73 apply (zenon_L1628_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1629_ *)
% 20.59/20.73 assert (zenon_L1630_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(hskp31)) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_Ha0 zenon_H2e zenon_H46d zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H5eb zenon_H5ed zenon_H500 zenon_H1af zenon_H1b7 zenon_H1ad zenon_H463 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.73 apply (zenon_L7_); trivial.
% 20.59/20.73 apply (zenon_L1629_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1630_ *)
% 20.59/20.73 assert (zenon_L1631_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(hskp31)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1046)) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_Hbf zenon_Ha3 zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H1af zenon_H1b7 zenon_H1ad zenon_H463 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H206 zenon_H208 zenon_H207 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2e.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.73 apply (zenon_L1621_); trivial.
% 20.59/20.73 apply (zenon_L1630_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1631_ *)
% 20.59/20.73 assert (zenon_L1632_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H214 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H59f zenon_H5a1 zenon_Ha3 zenon_Hc5 zenon_H215 zenon_H212 zenon_H463 zenon_H46d zenon_H1cf.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.73 apply (zenon_L1627_); trivial.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.73 apply (zenon_L1484_); trivial.
% 20.59/20.73 apply (zenon_L1631_); trivial.
% 20.59/20.73 apply (zenon_L1541_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1632_ *)
% 20.59/20.73 assert (zenon_L1633_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H12e zenon_H219 zenon_H2e zenon_H183 zenon_H166 zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H463 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H121.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.73 apply (zenon_L1617_); trivial.
% 20.59/20.73 apply (zenon_L1632_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1633_ *)
% 20.59/20.73 assert (zenon_L1634_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H237 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.73 apply (zenon_L1498_); trivial.
% 20.59/20.73 apply (zenon_L916_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1634_ *)
% 20.59/20.73 assert (zenon_L1635_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H25e zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.73 apply (zenon_L252_); trivial.
% 20.59/20.73 apply (zenon_L1634_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1635_ *)
% 20.59/20.73 assert (zenon_L1636_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H1eb zenon_H25e zenon_H273 zenon_H138 zenon_H135 zenon_H137 zenon_H33e zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H183 zenon_H2e zenon_H219 zenon_H132 zenon_H23b.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.73 apply (zenon_L252_); trivial.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.73 apply (zenon_L264_); trivial.
% 20.59/20.73 apply (zenon_L1633_); trivial.
% 20.59/20.73 apply (zenon_L1635_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1636_ *)
% 20.59/20.73 assert (zenon_L1637_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H1eb zenon_H25e zenon_H273 zenon_H138 zenon_H135 zenon_H137 zenon_H33e zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H183 zenon_H2e zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.73 apply (zenon_L3_); trivial.
% 20.59/20.73 apply (zenon_L1636_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1637_ *)
% 20.59/20.73 assert (zenon_L1638_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H140 zenon_H141 zenon_H142 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.73 apply (zenon_L492_); trivial.
% 20.59/20.73 apply (zenon_L184_); trivial.
% 20.59/20.73 apply (zenon_L33_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1638_ *)
% 20.59/20.73 assert (zenon_L1639_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H1ee zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.73 apply (zenon_L1638_); trivial.
% 20.59/20.73 apply (zenon_L497_); trivial.
% 20.59/20.73 apply (zenon_L417_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1639_ *)
% 20.59/20.73 assert (zenon_L1640_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H237 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3 zenon_H138 zenon_H135 zenon_H137.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.73 apply (zenon_L73_); trivial.
% 20.59/20.73 apply (zenon_L1639_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1640_ *)
% 20.59/20.73 assert (zenon_L1641_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H332 zenon_H23b zenon_H1eb zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H265 zenon_H25e zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3 zenon_H138 zenon_H135 zenon_H137 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.73 apply (zenon_L252_); trivial.
% 20.59/20.73 apply (zenon_L1640_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1641_ *)
% 20.59/20.73 assert (zenon_L1642_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H335 zenon_H93 zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H5b zenon_H3ba zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H219 zenon_H2e zenon_H183 zenon_H166 zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H358 zenon_H33e zenon_H137 zenon_H135 zenon_H138 zenon_H273 zenon_H25e zenon_H1eb zenon_H387 zenon_H47b zenon_H328.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.73 apply (zenon_L1637_); trivial.
% 20.59/20.73 apply (zenon_L1641_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1642_ *)
% 20.59/20.73 assert (zenon_L1643_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_Hf1 zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.73 apply (zenon_L1616_); trivial.
% 20.59/20.73 apply (zenon_L1562_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1643_ *)
% 20.59/20.73 assert (zenon_L1644_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.73 apply (zenon_L1643_); trivial.
% 20.59/20.73 apply (zenon_L1565_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1644_ *)
% 20.59/20.73 assert (zenon_L1645_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hdd zenon_H249 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.73 apply (zenon_L264_); trivial.
% 20.59/20.73 apply (zenon_L1644_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1645_ *)
% 20.59/20.73 assert (zenon_L1646_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H1eb zenon_H25e zenon_H273 zenon_H138 zenon_H135 zenon_H137 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H219 zenon_H132 zenon_H23b.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.73 apply (zenon_L252_); trivial.
% 20.59/20.73 apply (zenon_L1645_); trivial.
% 20.59/20.73 apply (zenon_L1635_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1646_ *)
% 20.59/20.73 assert (zenon_L1647_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H1eb zenon_H25e zenon_H273 zenon_H138 zenon_H135 zenon_H137 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.73 apply (zenon_L3_); trivial.
% 20.59/20.73 apply (zenon_L1646_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1647_ *)
% 20.59/20.73 assert (zenon_L1648_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.73 apply (zenon_L252_); trivial.
% 20.59/20.73 apply (zenon_L621_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1648_ *)
% 20.59/20.73 assert (zenon_L1649_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1055))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H335 zenon_H3ba zenon_H436 zenon_H433 zenon_H435 zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H219 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H358 zenon_H166 zenon_H183 zenon_H33e zenon_H137 zenon_H135 zenon_H138 zenon_H273 zenon_H25e zenon_H1eb zenon_H387 zenon_H47b zenon_H328.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.73 apply (zenon_L1647_); trivial.
% 20.59/20.73 apply (zenon_L1648_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1649_ *)
% 20.59/20.73 assert (zenon_L1650_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp55)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H2e zenon_H40d zenon_H37 zenon_H39 zenon_H3b zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb zenon_H78 zenon_H8c zenon_H8f zenon_H183.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.73 apply (zenon_L408_); trivial.
% 20.59/20.73 apply (zenon_L516_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1650_ *)
% 20.59/20.73 assert (zenon_L1651_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp58)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H249 zenon_Hdd zenon_H265 zenon_H263 zenon_H25e zenon_H256 zenon_H255 zenon_H50 zenon_H4f zenon_H51 zenon_Hc zenon_H40d zenon_H60 zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.59/20.73 apply (zenon_L174_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.59/20.73 apply (zenon_L1482_); trivial.
% 20.59/20.73 exact (zenon_H275 zenon_H276).
% 20.59/20.73 exact (zenon_Hdd zenon_Hde).
% 20.59/20.73 (* end of lemma zenon_L1651_ *)
% 20.59/20.73 assert (zenon_L1652_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H282 zenon_H3f5 zenon_H212 zenon_H3f3 zenon_H277 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H156 zenon_H158 zenon_H157 zenon_H500 zenon_H275.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f6 ].
% 20.59/20.73 exact (zenon_H212 zenon_H213).
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H3f7 ].
% 20.59/20.73 exact (zenon_H3f3 zenon_H3f4).
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.59/20.73 apply (zenon_L181_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.59/20.73 apply (zenon_L1569_); trivial.
% 20.59/20.73 exact (zenon_H275 zenon_H276).
% 20.59/20.73 (* end of lemma zenon_L1652_ *)
% 20.59/20.73 assert (zenon_L1653_ : ((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H8e zenon_H8f zenon_H78 zenon_H22e zenon_H22f zenon_H230.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_Hc. zenon_intro zenon_H90.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H70. zenon_intro zenon_H91.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H71. zenon_intro zenon_H6f.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.59/20.73 apply (zenon_L26_); trivial.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.59/20.73 exact (zenon_H78 zenon_H79).
% 20.59/20.73 apply (zenon_L158_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1653_ *)
% 20.59/20.73 assert (zenon_L1654_ : ((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.59/20.73 do 0 intro. intros zenon_H19b zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_Hc. zenon_intro zenon_H19c.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H19d.
% 20.59/20.73 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H185. zenon_intro zenon_H184.
% 20.59/20.73 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.73 apply (zenon_L993_); trivial.
% 20.59/20.73 apply (zenon_L497_); trivial.
% 20.59/20.73 (* end of lemma zenon_L1654_ *)
% 20.59/20.73 assert (zenon_L1655_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_Hc5.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.74 apply (zenon_L1613_); trivial.
% 20.59/20.74 apply (zenon_L400_); trivial.
% 20.59/20.74 apply (zenon_L1654_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1655_ *)
% 20.59/20.74 assert (zenon_L1656_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1102))) -> (~(c0_1 (a1102))) -> (c2_1 (a1102)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1cb zenon_H46d zenon_H463 zenon_H500 zenon_H444 zenon_H445 zenon_H446 zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.74 exact (zenon_H463 zenon_H464).
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.74 apply (zenon_L1429_); trivial.
% 20.59/20.74 apply (zenon_L1492_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1656_ *)
% 20.59/20.74 assert (zenon_L1657_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H463 zenon_Hc5 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.74 apply (zenon_L1655_); trivial.
% 20.59/20.74 apply (zenon_L1656_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1657_ *)
% 20.59/20.74 assert (zenon_L1658_ : ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H5b zenon_H35e zenon_H37f zenon_H35f zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.74 apply (zenon_L706_); trivial.
% 20.59/20.74 apply (zenon_L466_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1658_ *)
% 20.59/20.74 assert (zenon_L1659_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H35f zenon_H37f zenon_H35e zenon_H5b.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.74 apply (zenon_L1658_); trivial.
% 20.59/20.74 apply (zenon_L33_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1659_ *)
% 20.59/20.74 assert (zenon_L1660_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.74 apply (zenon_L1484_); trivial.
% 20.59/20.74 apply (zenon_L749_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1660_ *)
% 20.59/20.74 assert (zenon_L1661_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1031))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H37c zenon_H1cf zenon_H22f zenon_H215 zenon_Hc5 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H5b zenon_H22e zenon_H230 zenon_Ha3 zenon_H19e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.74 apply (zenon_L1659_); trivial.
% 20.59/20.74 apply (zenon_L497_); trivial.
% 20.59/20.74 apply (zenon_L1570_); trivial.
% 20.59/20.74 apply (zenon_L100_); trivial.
% 20.59/20.74 apply (zenon_L1660_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1661_ *)
% 20.59/20.74 assert (zenon_L1662_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H1cf zenon_H215 zenon_Hc5 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H5b zenon_H19e zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.74 apply (zenon_L252_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.74 apply (zenon_L1498_); trivial.
% 20.59/20.74 apply (zenon_L1661_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1662_ *)
% 20.59/20.74 assert (zenon_L1663_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H33e zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_Hc5 zenon_Ha3 zenon_H5b zenon_H285 zenon_H3f5 zenon_H3f3 zenon_H277 zenon_H275 zenon_H25e zenon_H265 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319 zenon_H19e zenon_H165 zenon_H1cf zenon_H132 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.74 apply (zenon_L1497_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.74 apply (zenon_L252_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.74 apply (zenon_L1650_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.74 apply (zenon_L1651_); trivial.
% 20.59/20.74 apply (zenon_L1652_); trivial.
% 20.59/20.74 apply (zenon_L1653_); trivial.
% 20.59/20.74 apply (zenon_L497_); trivial.
% 20.59/20.74 apply (zenon_L263_); trivial.
% 20.59/20.74 apply (zenon_L1570_); trivial.
% 20.59/20.74 apply (zenon_L1657_); trivial.
% 20.59/20.74 apply (zenon_L1662_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1663_ *)
% 20.59/20.74 assert (zenon_L1664_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.74 apply (zenon_L1655_); trivial.
% 20.59/20.74 apply (zenon_L1660_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1664_ *)
% 20.59/20.74 assert (zenon_L1665_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H165 zenon_H8f zenon_Ha3 zenon_H19e zenon_H249 zenon_Hdd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.74 apply (zenon_L666_); trivial.
% 20.59/20.74 apply (zenon_L1664_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1665_ *)
% 20.59/20.74 assert (zenon_L1666_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H165 zenon_H8f zenon_Ha3 zenon_H19e zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H25e zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.74 apply (zenon_L252_); trivial.
% 20.59/20.74 apply (zenon_L1665_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1666_ *)
% 20.59/20.74 assert (zenon_L1667_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H3ba zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H219 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H358 zenon_H166 zenon_H183 zenon_H33e zenon_H137 zenon_H135 zenon_H138 zenon_H273 zenon_H25e zenon_H1eb zenon_H387 zenon_H47b zenon_H328.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.74 apply (zenon_L1647_); trivial.
% 20.59/20.74 apply (zenon_L1666_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1667_ *)
% 20.59/20.74 assert (zenon_L1668_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (c0_1 (a1084)) -> (~(c3_1 (a1084))) -> (~(c1_1 (a1084))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1c7 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H403 zenon_H24 zenon_H23 zenon_H25 zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.74 apply (zenon_L778_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.74 apply (zenon_L940_); trivial.
% 20.59/20.74 apply (zenon_L1479_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.59/20.74 exact (zenon_H1c3 zenon_H1c4).
% 20.59/20.74 exact (zenon_H1c5 zenon_H1c6).
% 20.59/20.74 (* end of lemma zenon_L1668_ *)
% 20.59/20.74 assert (zenon_L1669_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.74 apply (zenon_L396_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.59/20.74 apply (zenon_L1668_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.59/20.74 exact (zenon_H60 zenon_H61).
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.74 apply (zenon_L778_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.74 apply (zenon_L940_); trivial.
% 20.59/20.74 apply (zenon_L1480_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.59/20.74 exact (zenon_H1c3 zenon_H1c4).
% 20.59/20.74 exact (zenon_H1c5 zenon_H1c6).
% 20.59/20.74 (* end of lemma zenon_L1669_ *)
% 20.59/20.74 assert (zenon_L1670_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_H8c zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.74 apply (zenon_L1669_); trivial.
% 20.59/20.74 apply (zenon_L37_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1670_ *)
% 20.59/20.74 assert (zenon_L1671_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_Ha3 zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.74 apply (zenon_L1669_); trivial.
% 20.59/20.74 apply (zenon_L33_); trivial.
% 20.59/20.74 apply (zenon_L1670_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1671_ *)
% 20.59/20.74 assert (zenon_L1672_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (c0_1 (a1036)) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1c7 zenon_H5ed zenon_H5eb zenon_Hc zenon_H469 zenon_H5ec zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.74 apply (zenon_L778_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.74 apply (zenon_L1431_); trivial.
% 20.59/20.74 apply (zenon_L1433_); trivial.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.59/20.74 exact (zenon_H1c3 zenon_H1c4).
% 20.59/20.74 exact (zenon_H1c5 zenon_H1c6).
% 20.59/20.74 (* end of lemma zenon_L1672_ *)
% 20.59/20.74 assert (zenon_L1673_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H214 zenon_H46d zenon_H463 zenon_H1c7 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.74 exact (zenon_H463 zenon_H464).
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.74 apply (zenon_L626_); trivial.
% 20.59/20.74 apply (zenon_L1672_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1673_ *)
% 20.59/20.74 assert (zenon_L1674_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1ce zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H463 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.74 apply (zenon_L934_); trivial.
% 20.59/20.74 apply (zenon_L1673_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1674_ *)
% 20.59/20.74 assert (zenon_L1675_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H463 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.59/20.74 apply (zenon_L77_); trivial.
% 20.59/20.74 apply (zenon_L1674_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1675_ *)
% 20.59/20.74 assert (zenon_L1676_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp33)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H1c5 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H463 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.59/20.74 apply (zenon_L1675_); trivial.
% 20.59/20.74 apply (zenon_L1396_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1676_ *)
% 20.59/20.74 assert (zenon_L1677_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp33)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H37c zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H1c5 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.74 apply (zenon_L73_); trivial.
% 20.59/20.74 apply (zenon_L1676_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1677_ *)
% 20.59/20.74 assert (zenon_L1678_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H387 zenon_H215 zenon_H212 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H46d zenon_H219 zenon_H1eb zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc8.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.74 apply (zenon_L73_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.59/20.74 apply (zenon_L77_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.74 apply (zenon_L1671_); trivial.
% 20.59/20.74 apply (zenon_L417_); trivial.
% 20.59/20.74 apply (zenon_L1476_); trivial.
% 20.59/20.74 apply (zenon_L419_); trivial.
% 20.59/20.74 apply (zenon_L1677_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1678_ *)
% 20.59/20.74 assert (zenon_L1679_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H23b zenon_H435 zenon_H433 zenon_H436 zenon_H121 zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H1eb zenon_H219 zenon_H46d zenon_H463 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H203 zenon_H56b zenon_H285 zenon_H212 zenon_H215 zenon_H387.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.74 apply (zenon_L1678_); trivial.
% 20.59/20.74 apply (zenon_L1542_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1679_ *)
% 20.59/20.74 assert (zenon_L1680_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H1dd zenon_H121.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.74 apply (zenon_L1467_); trivial.
% 20.59/20.74 apply (zenon_L419_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1680_ *)
% 20.59/20.74 assert (zenon_L1681_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H215 zenon_H212 zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H46d zenon_H219 zenon_H1eb zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc8 zenon_H121 zenon_H436 zenon_H433 zenon_H435 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.74 apply (zenon_L3_); trivial.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.74 apply (zenon_L1679_); trivial.
% 20.59/20.74 apply (zenon_L1680_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1681_ *)
% 20.59/20.74 assert (zenon_L1682_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H436 zenon_H433 zenon_H435 zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.74 apply (zenon_L1111_); trivial.
% 20.59/20.74 apply (zenon_L621_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1682_ *)
% 20.59/20.74 assert (zenon_L1683_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H335 zenon_H423 zenon_H5 zenon_H6 zenon_H23b zenon_H435 zenon_H433 zenon_H436 zenon_H121 zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H1eb zenon_H219 zenon_H46d zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H212 zenon_H215 zenon_H387 zenon_H47b zenon_H328.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.74 apply (zenon_L1681_); trivial.
% 20.59/20.74 apply (zenon_L1682_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1683_ *)
% 20.59/20.74 assert (zenon_L1684_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.74 apply (zenon_L217_); trivial.
% 20.59/20.74 apply (zenon_L1664_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1684_ *)
% 20.59/20.74 assert (zenon_L1685_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.74 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.74 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.74 apply (zenon_L1111_); trivial.
% 20.59/20.74 apply (zenon_L1684_); trivial.
% 20.59/20.74 (* end of lemma zenon_L1685_ *)
% 20.59/20.74 assert (zenon_L1686_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.74 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_H132 zenon_H1cf zenon_H277 zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.75 apply (zenon_L1497_); trivial.
% 20.59/20.75 apply (zenon_L1685_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1686_ *)
% 20.59/20.75 assert (zenon_L1687_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H485 zenon_H132 zenon_H1cf zenon_H165 zenon_H19e zenon_H2ab zenon_H328 zenon_H47b zenon_H387 zenon_H215 zenon_H212 zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H46d zenon_H219 zenon_H1eb zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc8 zenon_H121 zenon_H436 zenon_H435 zenon_H23b zenon_H6 zenon_H5 zenon_H423 zenon_H335.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.59/20.75 apply (zenon_L1683_); trivial.
% 20.59/20.75 apply (zenon_L1686_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1687_ *)
% 20.59/20.75 assert (zenon_L1688_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> (ndr1_0) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H29e zenon_Hc zenon_H24a zenon_H450 zenon_H452.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.59/20.75 apply (zenon_L208_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.59/20.75 exact (zenon_H29e zenon_H29f).
% 20.59/20.75 apply (zenon_L1510_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1688_ *)
% 20.59/20.75 assert (zenon_L1689_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H265 zenon_H452 zenon_H450 zenon_H29e zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H413 zenon_Hc zenon_H263.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.59/20.75 apply (zenon_L1688_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.59/20.75 apply (zenon_L541_); trivial.
% 20.59/20.75 exact (zenon_H263 zenon_H264).
% 20.59/20.75 (* end of lemma zenon_L1689_ *)
% 20.59/20.75 assert (zenon_L1690_ : ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H166 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H41a zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.59/20.75 apply (zenon_L1315_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.59/20.75 apply (zenon_L473_); trivial.
% 20.59/20.75 exact (zenon_H15f zenon_H160).
% 20.59/20.75 (* end of lemma zenon_L1690_ *)
% 20.59/20.75 assert (zenon_L1691_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp58)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H423 zenon_H263 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H29e zenon_H450 zenon_H452 zenon_H265 zenon_H166 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H22f zenon_H22e zenon_H230 zenon_Hc zenon_H15f.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.59/20.75 apply (zenon_L523_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.59/20.75 apply (zenon_L1689_); trivial.
% 20.59/20.75 apply (zenon_L1690_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1691_ *)
% 20.59/20.75 assert (zenon_L1692_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp57)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H285 zenon_H1bc zenon_H1c8 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H15f zenon_H22f zenon_H22e zenon_H230 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H423.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.75 apply (zenon_L1691_); trivial.
% 20.59/20.75 apply (zenon_L998_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1692_ *)
% 20.59/20.75 assert (zenon_L1693_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H423 zenon_H1ad zenon_H1af zenon_H1b7 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c8 zenon_H1bc zenon_H285.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.75 apply (zenon_L1692_); trivial.
% 20.59/20.75 apply (zenon_L89_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1693_ *)
% 20.59/20.75 assert (zenon_L1694_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H423 zenon_H1ad zenon_H1af zenon_H1b7 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H1bc zenon_H285.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.75 apply (zenon_L1692_); trivial.
% 20.59/20.75 apply (zenon_L91_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1694_ *)
% 20.59/20.75 assert (zenon_L1695_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1cb zenon_Ha3 zenon_H285 zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H423 zenon_H8c zenon_H8f zenon_H183.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.75 apply (zenon_L1693_); trivial.
% 20.59/20.75 apply (zenon_L1694_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1695_ *)
% 20.59/20.75 assert (zenon_L1696_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1cf zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.75 apply (zenon_L1614_); trivial.
% 20.59/20.75 apply (zenon_L1695_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1696_ *)
% 20.59/20.75 assert (zenon_L1697_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_Hf1 zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H183 zenon_H423 zenon_H166 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H1bc zenon_H1cf.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.75 apply (zenon_L1696_); trivial.
% 20.59/20.75 apply (zenon_L270_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1697_ *)
% 20.59/20.75 assert (zenon_L1698_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H2e zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H1cf zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H121.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.75 apply (zenon_L1697_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.75 apply (zenon_L1627_); trivial.
% 20.59/20.75 apply (zenon_L1695_); trivial.
% 20.59/20.75 apply (zenon_L1541_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1698_ *)
% 20.59/20.75 assert (zenon_L1699_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1034))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H273 zenon_H127 zenon_H126 zenon_H24a zenon_H125 zenon_H140 zenon_H141 zenon_H142 zenon_H6e zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.59/20.75 apply (zenon_L190_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.59/20.75 apply (zenon_L443_); trivial.
% 20.59/20.75 apply (zenon_L399_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1699_ *)
% 20.59/20.75 assert (zenon_L1700_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H265 zenon_H3ba zenon_H6e zenon_H142 zenon_H141 zenon_H140 zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H3bc zenon_H3bb zenon_H14b zenon_Hc zenon_H263.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.59/20.75 apply (zenon_L1699_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.59/20.75 apply (zenon_L424_); trivial.
% 20.59/20.75 exact (zenon_H263 zenon_H264).
% 20.59/20.75 (* end of lemma zenon_L1700_ *)
% 20.59/20.75 assert (zenon_L1701_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (ndr1_0) -> (~(hskp53)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp58)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H165 zenon_H230 zenon_H22f zenon_H22e zenon_Hc zenon_H78 zenon_H265 zenon_H3ba zenon_H142 zenon_H141 zenon_H140 zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H3bc zenon_H3bb zenon_H263 zenon_H8f zenon_H161 zenon_H163.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.59/20.75 apply (zenon_L1700_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.59/20.75 exact (zenon_H78 zenon_H79).
% 20.59/20.75 apply (zenon_L158_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.59/20.75 exact (zenon_H161 zenon_H162).
% 20.59/20.75 exact (zenon_H163 zenon_H164).
% 20.59/20.75 (* end of lemma zenon_L1701_ *)
% 20.59/20.75 assert (zenon_L1702_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H285 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H78 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H265 zenon_H161 zenon_H163 zenon_H165.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.75 apply (zenon_L1701_); trivial.
% 20.59/20.75 apply (zenon_L534_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1702_ *)
% 20.59/20.75 assert (zenon_L1703_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp43)) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_Ha3 zenon_H2e zenon_H5a1 zenon_Hee zenon_H59f zenon_H8c zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H165 zenon_H163 zenon_H161 zenon_H265 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H285.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.75 apply (zenon_L1702_); trivial.
% 20.59/20.75 apply (zenon_L1625_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1703_ *)
% 20.59/20.75 assert (zenon_L1704_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> (~(hskp43)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H19e zenon_H285 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H265 zenon_H161 zenon_H165 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H8c zenon_H59f zenon_Hee zenon_H5a1 zenon_H2e zenon_Ha3.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.75 apply (zenon_L1703_); trivial.
% 20.59/20.75 apply (zenon_L994_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1704_ *)
% 20.59/20.75 assert (zenon_L1705_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H500 zenon_H22f zenon_H22e zenon_H1d8 zenon_H230 zenon_H25 zenon_H23 zenon_H24 zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.59/20.75 apply (zenon_L1004_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.59/20.75 apply (zenon_L940_); trivial.
% 20.59/20.75 apply (zenon_L1433_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1705_ *)
% 20.59/20.75 assert (zenon_L1706_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp38)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1dd zenon_H223 zenon_H21c zenon_H21a zenon_H60 zenon_H5e zenon_H6c zenon_H2f zenon_H500 zenon_H22f zenon_H22e zenon_H230 zenon_H25 zenon_H23 zenon_H24 zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.59/20.75 apply (zenon_L145_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.59/20.75 exact (zenon_H2f zenon_H30).
% 20.59/20.75 apply (zenon_L1705_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1706_ *)
% 20.59/20.75 assert (zenon_L1707_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1ad zenon_H1b7 zenon_H1af zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H46d zenon_H2e.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.75 apply (zenon_L396_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.75 exact (zenon_H463 zenon_H464).
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.75 apply (zenon_L1429_); trivial.
% 20.59/20.75 apply (zenon_L1706_); trivial.
% 20.59/20.75 apply (zenon_L33_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1707_ *)
% 20.59/20.75 assert (zenon_L1708_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1073)) -> (c1_1 (a1073)) -> (c0_1 (a1073)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp38)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1dd zenon_H96 zenon_H94 zenon_H95 zenon_H21a zenon_H21c zenon_H8c zenon_H2f zenon_H500 zenon_H22f zenon_H22e zenon_H230 zenon_H25 zenon_H23 zenon_H24 zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.59/20.75 apply (zenon_L603_); trivial.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.59/20.75 exact (zenon_H2f zenon_H30).
% 20.59/20.75 apply (zenon_L1705_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1708_ *)
% 20.59/20.75 assert (zenon_L1709_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> (c0_1 (a1051)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1ad zenon_H1b7 zenon_H1af zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H8c zenon_H46d zenon_H2e.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.75 apply (zenon_L396_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.75 exact (zenon_H463 zenon_H464).
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.75 apply (zenon_L1429_); trivial.
% 20.59/20.75 apply (zenon_L1708_); trivial.
% 20.59/20.75 apply (zenon_L37_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1709_ *)
% 20.59/20.75 assert (zenon_L1710_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp38)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_Ha3 zenon_H2e zenon_H46d zenon_H223 zenon_H21c zenon_H21a zenon_H2f zenon_H500 zenon_H5ed zenon_H5eb zenon_H22f zenon_H22e zenon_H230 zenon_H1dd zenon_H1af zenon_H1b7 zenon_H1ad zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.75 apply (zenon_L1707_); trivial.
% 20.59/20.75 apply (zenon_L1709_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1710_ *)
% 20.59/20.75 assert (zenon_L1711_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H46d zenon_H2e zenon_Ha3.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.75 apply (zenon_L1710_); trivial.
% 20.59/20.75 apply (zenon_L214_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1711_ *)
% 20.59/20.75 assert (zenon_L1712_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp43)) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1cf zenon_Hc5 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_H463 zenon_H1dd zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H46d zenon_Ha3 zenon_H2e zenon_H5a1 zenon_Hee zenon_H59f zenon_H8c zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H165 zenon_H265 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H285 zenon_H19e.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.75 apply (zenon_L1704_); trivial.
% 20.59/20.75 apply (zenon_L1711_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1712_ *)
% 20.59/20.75 assert (zenon_L1713_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> (c0_1 (a1046)) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H206 zenon_H208 zenon_H207 zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H8c zenon_H46d zenon_H2e.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.75 apply (zenon_L396_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.75 exact (zenon_H463 zenon_H464).
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.75 apply (zenon_L626_); trivial.
% 20.59/20.75 apply (zenon_L1708_); trivial.
% 20.59/20.75 apply (zenon_L37_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1713_ *)
% 20.59/20.75 assert (zenon_L1714_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp38)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1046))) -> (c1_1 (a1046)) -> (c0_1 (a1046)) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_Ha3 zenon_H8c zenon_H2e zenon_H46d zenon_H223 zenon_H21c zenon_H21a zenon_H2f zenon_H500 zenon_H5ed zenon_H5eb zenon_H22f zenon_H22e zenon_H230 zenon_H1dd zenon_H207 zenon_H208 zenon_H206 zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8f zenon_H93.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.75 apply (zenon_L396_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.75 exact (zenon_H463 zenon_H464).
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.75 apply (zenon_L626_); trivial.
% 20.59/20.75 apply (zenon_L1706_); trivial.
% 20.59/20.75 apply (zenon_L1653_); trivial.
% 20.59/20.75 apply (zenon_L1713_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1714_ *)
% 20.59/20.75 assert (zenon_L1715_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H214 zenon_Hc5 zenon_H277 zenon_H275 zenon_H140 zenon_H141 zenon_H142 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H46d zenon_H2e zenon_H8c zenon_Ha3.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.75 apply (zenon_L1714_); trivial.
% 20.59/20.75 apply (zenon_L417_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1715_ *)
% 20.59/20.75 assert (zenon_L1716_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_H121 zenon_H203 zenon_H19e zenon_H285 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H8c zenon_H59f zenon_H5a1 zenon_H2e zenon_Ha3 zenon_H46d zenon_H1dd zenon_H463 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hc5 zenon_H1cf zenon_H275 zenon_H277 zenon_H219 zenon_H1eb.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.75 apply (zenon_L875_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.75 apply (zenon_L1712_); trivial.
% 20.59/20.75 apply (zenon_L270_); trivial.
% 20.59/20.75 apply (zenon_L1715_); trivial.
% 20.59/20.75 apply (zenon_L1127_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1716_ *)
% 20.59/20.75 assert (zenon_L1717_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H22b zenon_H132 zenon_Hc8 zenon_H535 zenon_H533 zenon_H121 zenon_H203 zenon_H19e zenon_H285 zenon_H29e zenon_H2a6 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H8c zenon_H59f zenon_H5a1 zenon_H2e zenon_Ha3 zenon_H46d zenon_H1dd zenon_H463 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hc5 zenon_H1cf zenon_H277 zenon_H219 zenon_H1eb zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.75 apply (zenon_L217_); trivial.
% 20.59/20.75 apply (zenon_L1716_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1717_ *)
% 20.59/20.75 assert (zenon_L1718_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H237 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H273 zenon_H1dd zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1eb zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H121 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hf1 zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H183 zenon_H423 zenon_H166 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H3ba zenon_H1c8 zenon_H1cf zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H463 zenon_H46d zenon_H219 zenon_H132.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.75 apply (zenon_L217_); trivial.
% 20.59/20.75 apply (zenon_L1698_); trivial.
% 20.59/20.75 apply (zenon_L1717_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1718_ *)
% 20.59/20.75 assert (zenon_L1719_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H2ab zenon_H121 zenon_H19e zenon_H165 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H423 zenon_H166 zenon_H452 zenon_H450 zenon_H1c8 zenon_H1cf zenon_H5a1 zenon_H59f zenon_H5b0 zenon_H132 zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H1eb zenon_H219 zenon_H46d zenon_H463 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H203 zenon_H56b zenon_H285 zenon_H212 zenon_H215 zenon_H387.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.75 apply (zenon_L1678_); trivial.
% 20.59/20.75 apply (zenon_L1718_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1719_ *)
% 20.59/20.75 assert (zenon_L1720_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H11b zenon_H11c zenon_Hfc zenon_H8c zenon_H470 zenon_H471.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.59/20.75 exact (zenon_Hfc zenon_Hfd).
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.59/20.75 apply (zenon_L60_); trivial.
% 20.59/20.75 apply (zenon_L1464_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1720_ *)
% 20.59/20.75 assert (zenon_L1721_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(hskp12)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H121 zenon_H11c zenon_H471 zenon_H470 zenon_Hfc zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_Hf1 zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.59/20.75 apply (zenon_L1616_); trivial.
% 20.59/20.75 apply (zenon_L1720_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1721_ *)
% 20.59/20.75 assert (zenon_L1722_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp12)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46f zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_Hfc zenon_H470 zenon_H471 zenon_H11c zenon_H121.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.75 apply (zenon_L1721_); trivial.
% 20.59/20.75 apply (zenon_L631_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1722_ *)
% 20.59/20.75 assert (zenon_L1723_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H478 zenon_H23b zenon_H132 zenon_H1cf zenon_Hdd zenon_Hf1 zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H3bc zenon_H3bb zenon_H165 zenon_H19e zenon_Hfc zenon_H11c zenon_H121 zenon_H275 zenon_H2ab zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.75 apply (zenon_L1507_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.75 apply (zenon_L217_); trivial.
% 20.59/20.75 apply (zenon_L1722_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1723_ *)
% 20.59/20.75 assert (zenon_L1724_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.75 apply (zenon_L1655_); trivial.
% 20.59/20.75 apply (zenon_L1695_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1724_ *)
% 20.59/20.75 assert (zenon_L1725_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H19e zenon_H285 zenon_H32b zenon_H32a zenon_H329 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H265 zenon_H161 zenon_H165 zenon_H8c zenon_Ha3.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.75 apply (zenon_L1701_); trivial.
% 20.59/20.75 apply (zenon_L427_); trivial.
% 20.59/20.75 apply (zenon_L497_); trivial.
% 20.59/20.75 apply (zenon_L1654_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1725_ *)
% 20.59/20.75 assert (zenon_L1726_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp11)) -> (ndr1_0) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.59/20.75 do 0 intro. intros zenon_H1eb zenon_H1cf zenon_Hc5 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1dd zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H46d zenon_H2e zenon_Ha3 zenon_H8c zenon_H165 zenon_H265 zenon_H125 zenon_H126 zenon_H127 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H329 zenon_H32a zenon_H32b zenon_H285 zenon_H19e zenon_H533 zenon_Hc zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.75 apply (zenon_L875_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.75 apply (zenon_L1725_); trivial.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.75 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.75 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.75 apply (zenon_L1710_); trivial.
% 20.59/20.75 apply (zenon_L400_); trivial.
% 20.59/20.75 (* end of lemma zenon_L1726_ *)
% 20.59/20.75 assert (zenon_L1727_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_H277 zenon_H275 zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_H19e zenon_H285 zenon_H32b zenon_H32a zenon_H329 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H8c zenon_Ha3 zenon_H2e zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H1dd zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hc5 zenon_H1cf zenon_H1eb.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.76 apply (zenon_L1726_); trivial.
% 20.59/20.76 apply (zenon_L1127_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1727_ *)
% 20.59/20.76 assert (zenon_L1728_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H22b zenon_H132 zenon_Hc8 zenon_H277 zenon_H535 zenon_H533 zenon_H19e zenon_H285 zenon_H32b zenon_H32a zenon_H329 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H8c zenon_Ha3 zenon_H2e zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H1dd zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hc5 zenon_H1cf zenon_H1eb zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L217_); trivial.
% 20.59/20.76 apply (zenon_L1727_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1728_ *)
% 20.59/20.76 assert (zenon_L1729_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H478 zenon_H387 zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.76 apply (zenon_L1505_); trivial.
% 20.59/20.76 apply (zenon_L611_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1729_ *)
% 20.59/20.76 assert (zenon_L1730_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H451 zenon_Hc0 zenon_H358 zenon_H33e zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H423 zenon_H40d zenon_H132 zenon_H1cf zenon_H1c8 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H183 zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H1eb zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H46d zenon_H2e zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H23b.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.76 apply (zenon_L1111_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L217_); trivial.
% 20.59/20.76 apply (zenon_L1724_); trivial.
% 20.59/20.76 apply (zenon_L1728_); trivial.
% 20.59/20.76 apply (zenon_L1729_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1730_ *)
% 20.59/20.76 assert (zenon_L1731_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(hskp53)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H93 zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H78 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H5b.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.59/20.76 apply (zenon_L446_); trivial.
% 20.59/20.76 apply (zenon_L491_); trivial.
% 20.59/20.76 apply (zenon_L211_); trivial.
% 20.59/20.76 apply (zenon_L33_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1731_ *)
% 20.59/20.76 assert (zenon_L1732_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H5b zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H93 zenon_Hc5.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.76 apply (zenon_L1731_); trivial.
% 20.59/20.76 apply (zenon_L308_); trivial.
% 20.59/20.76 apply (zenon_L214_); trivial.
% 20.59/20.76 apply (zenon_L100_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1732_ *)
% 20.59/20.76 assert (zenon_L1733_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_Hc8 zenon_H275 zenon_H277 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H5b zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H93 zenon_Hc5 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1cf zenon_H149 zenon_H33e zenon_H338 zenon_H1dd zenon_H358 zenon_H1ec zenon_H1eb.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.76 apply (zenon_L73_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.59/20.76 apply (zenon_L77_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.76 apply (zenon_L1732_); trivial.
% 20.59/20.76 apply (zenon_L112_); trivial.
% 20.59/20.76 apply (zenon_L1565_); trivial.
% 20.59/20.76 apply (zenon_L1476_); trivial.
% 20.59/20.76 apply (zenon_L1571_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1733_ *)
% 20.59/20.76 assert (zenon_L1734_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H1cb zenon_H46d zenon_H463 zenon_H1c7 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.59/20.76 exact (zenon_H463 zenon_H464).
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.59/20.76 apply (zenon_L1429_); trivial.
% 20.59/20.76 apply (zenon_L1672_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1734_ *)
% 20.59/20.76 assert (zenon_L1735_ : ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp38)) -> (ndr1_0) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H1dd zenon_H223 zenon_H21c zenon_H21a zenon_H60 zenon_H5e zenon_H6c zenon_H2f zenon_Hc zenon_H1df zenon_H1e0 zenon_H1e1.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.59/20.76 apply (zenon_L145_); trivial.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.59/20.76 exact (zenon_H2f zenon_H30).
% 20.59/20.76 apply (zenon_L120_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1735_ *)
% 20.59/20.76 assert (zenon_L1736_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (ndr1_0) -> (~(hskp47)) -> (~(hskp38)) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_Hc zenon_H60 zenon_H2f zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1dd.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.76 apply (zenon_L1735_); trivial.
% 20.59/20.76 apply (zenon_L33_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1736_ *)
% 20.59/20.76 assert (zenon_L1737_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp47)) -> (~(hskp38)) -> (c0_1 (a1044)) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_Ha0 zenon_H93 zenon_H8c zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_H60 zenon_H2f zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1dd.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.76 apply (zenon_L1735_); trivial.
% 20.59/20.76 apply (zenon_L37_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1737_ *)
% 20.59/20.76 assert (zenon_L1738_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> (c0_1 (a1044)) -> (~(hskp38)) -> (~(hskp47)) -> (ndr1_0) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_Ha3 zenon_H1dd zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H2f zenon_H60 zenon_Hc zenon_H21a zenon_H21c zenon_H223 zenon_H6c zenon_H8c zenon_H8f zenon_H93.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.76 apply (zenon_L1736_); trivial.
% 20.59/20.76 apply (zenon_L1737_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1738_ *)
% 20.59/20.76 assert (zenon_L1739_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp38)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H1e8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H140 zenon_H141 zenon_H142 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_H2f zenon_H1dd zenon_Ha3.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.76 apply (zenon_L1738_); trivial.
% 20.59/20.76 apply (zenon_L417_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1739_ *)
% 20.59/20.76 assert (zenon_L1740_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L217_); trivial.
% 20.59/20.76 apply (zenon_L1644_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1740_ *)
% 20.59/20.76 assert (zenon_L1741_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> (c0_1 (a1046)) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp4)) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H215 zenon_H208 zenon_H207 zenon_H206 zenon_H275 zenon_H40d zenon_H2bb zenon_H2bc zenon_H2ba zenon_H60 zenon_H500 zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec zenon_H277 zenon_H212.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.59/20.76 apply (zenon_L136_); trivial.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.59/20.76 apply (zenon_L1478_); trivial.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.59/20.76 apply (zenon_L588_); trivial.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.59/20.76 exact (zenon_H60 zenon_H61).
% 20.59/20.76 apply (zenon_L1481_); trivial.
% 20.59/20.76 exact (zenon_H275 zenon_H276).
% 20.59/20.76 exact (zenon_H212 zenon_H213).
% 20.59/20.76 (* end of lemma zenon_L1741_ *)
% 20.59/20.76 assert (zenon_L1742_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H214 zenon_Hc5 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H8c zenon_H277 zenon_H275 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.76 apply (zenon_L1741_); trivial.
% 20.59/20.76 apply (zenon_L1136_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1742_ *)
% 20.59/20.76 assert (zenon_L1743_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H12e zenon_H219 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H121.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.76 apply (zenon_L1617_); trivial.
% 20.59/20.76 apply (zenon_L1742_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1743_ *)
% 20.59/20.76 assert (zenon_L1744_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H325 zenon_H23b zenon_H132 zenon_H219 zenon_H25e zenon_H273 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.76 apply (zenon_L252_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L264_); trivial.
% 20.59/20.76 apply (zenon_L1743_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1744_ *)
% 20.59/20.76 assert (zenon_L1745_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H219 zenon_H25e zenon_H273 zenon_H2ba zenon_H2bc zenon_H2bb zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.76 apply (zenon_L3_); trivial.
% 20.59/20.76 apply (zenon_L1744_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1745_ *)
% 20.59/20.76 assert (zenon_L1746_ : ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.76 apply (zenon_L492_); trivial.
% 20.59/20.76 apply (zenon_L238_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1746_ *)
% 20.59/20.76 assert (zenon_L1747_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.76 apply (zenon_L1746_); trivial.
% 20.59/20.76 apply (zenon_L33_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1747_ *)
% 20.59/20.76 assert (zenon_L1748_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_Ha3 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H230 zenon_H22e zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.76 apply (zenon_L1747_); trivial.
% 20.59/20.76 apply (zenon_L497_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1748_ *)
% 20.59/20.76 assert (zenon_L1749_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H237 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.76 apply (zenon_L1748_); trivial.
% 20.59/20.76 apply (zenon_L1136_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1749_ *)
% 20.59/20.76 assert (zenon_L1750_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H265 zenon_H25e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.76 apply (zenon_L252_); trivial.
% 20.59/20.76 apply (zenon_L1749_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1750_ *)
% 20.59/20.76 assert (zenon_L1751_ : ((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H316 zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Hc. zenon_intro zenon_H317.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H30b. zenon_intro zenon_H318.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H30a. zenon_intro zenon_H30c.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.76 apply (zenon_L260_); trivial.
% 20.59/20.76 apply (zenon_L497_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1751_ *)
% 20.59/20.76 assert (zenon_L1752_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_Hc5 zenon_Ha3 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_Hdc zenon_Hae zenon_H2f9 zenon_H307 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.76 apply (zenon_L517_); trivial.
% 20.59/20.76 apply (zenon_L238_); trivial.
% 20.59/20.76 apply (zenon_L1653_); trivial.
% 20.59/20.76 apply (zenon_L497_); trivial.
% 20.59/20.76 apply (zenon_L1751_); trivial.
% 20.59/20.76 apply (zenon_L749_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1752_ *)
% 20.59/20.76 assert (zenon_L1753_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H161 zenon_H165 zenon_H255 zenon_H25e zenon_H256 zenon_H285.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.76 apply (zenon_L569_); trivial.
% 20.59/20.76 apply (zenon_L237_); trivial.
% 20.59/20.76 apply (zenon_L100_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1753_ *)
% 20.59/20.76 assert (zenon_L1754_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H12e zenon_H1cf zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215 zenon_H285 zenon_H256 zenon_H25e zenon_H255 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.76 apply (zenon_L1753_); trivial.
% 20.59/20.76 apply (zenon_L1660_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1754_ *)
% 20.59/20.76 assert (zenon_L1755_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H165 zenon_H19e zenon_H319 zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Ha3 zenon_Hc5.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L1752_); trivial.
% 20.59/20.76 apply (zenon_L1754_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1755_ *)
% 20.59/20.76 assert (zenon_L1756_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_H335 zenon_H93 zenon_H2e zenon_H3f5 zenon_H3b zenon_H3f3 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H5b zenon_H3ba zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H2bb zenon_H2bc zenon_H2ba zenon_H273 zenon_H219 zenon_H132 zenon_H23b zenon_H328 zenon_H183 zenon_H166 zenon_H2df.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.76 apply (zenon_L1745_); trivial.
% 20.59/20.76 apply (zenon_L1750_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.76 apply (zenon_L1745_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.76 apply (zenon_L252_); trivial.
% 20.59/20.76 apply (zenon_L1755_); trivial.
% 20.59/20.76 apply (zenon_L206_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1756_ *)
% 20.59/20.76 assert (zenon_L1757_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H335 zenon_H93 zenon_H2e zenon_H3f5 zenon_H3b zenon_H3f3 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H5b zenon_H3ba zenon_H5 zenon_H6 zenon_H249 zenon_Hdd zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H2bb zenon_H2bc zenon_H2ba zenon_H273 zenon_H219 zenon_H132 zenon_H23b zenon_H328 zenon_H183 zenon_H166 zenon_H2df zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.59/20.76 apply (zenon_L1427_); trivial.
% 20.59/20.76 apply (zenon_L1756_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1757_ *)
% 20.59/20.76 assert (zenon_L1758_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L1115_); trivial.
% 20.59/20.76 apply (zenon_L586_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1758_ *)
% 20.59/20.76 assert (zenon_L1759_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp38)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_Hc5 zenon_H93 zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_H2f zenon_H1dd zenon_H149 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H165 zenon_H285 zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H1ed.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.59/20.76 apply (zenon_L77_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.59/20.76 apply (zenon_L571_); trivial.
% 20.59/20.76 apply (zenon_L1734_); trivial.
% 20.59/20.76 apply (zenon_L1739_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1759_ *)
% 20.59/20.76 assert (zenon_L1760_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (c1_1 (a1033)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (~(hskp11)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_H535 zenon_H223 zenon_H21a zenon_H21c zenon_H533 zenon_H1ed zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H149 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1ec zenon_H1eb.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.76 apply (zenon_L875_); trivial.
% 20.59/20.76 apply (zenon_L1759_); trivial.
% 20.59/20.76 apply (zenon_L1127_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1760_ *)
% 20.59/20.76 assert (zenon_L1761_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.59/20.76 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.76 apply (zenon_L1758_); trivial.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.76 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.76 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.76 apply (zenon_L1115_); trivial.
% 20.59/20.76 apply (zenon_L1760_); trivial.
% 20.59/20.76 (* end of lemma zenon_L1761_ *)
% 20.59/20.76 assert (zenon_L1762_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L1761_); trivial.
% 20.59/20.77 apply (zenon_L1542_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1762_ *)
% 20.59/20.77 assert (zenon_L1763_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H328 zenon_H47b zenon_H2a6 zenon_H29e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H121 zenon_H203 zenon_H436 zenon_H433 zenon_H435 zenon_Hf zenon_H9 zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.77 apply (zenon_L3_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.77 apply (zenon_L1762_); trivial.
% 20.59/20.77 apply (zenon_L1468_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1763_ *)
% 20.59/20.77 assert (zenon_L1764_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H335 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H29e zenon_H2a6 zenon_H47b zenon_H328.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.77 apply (zenon_L1763_); trivial.
% 20.59/20.77 apply (zenon_L1682_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1764_ *)
% 20.59/20.77 assert (zenon_L1765_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H23b zenon_Hdc zenon_Hcc zenon_Hfb zenon_H2ab zenon_H121 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H219 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L1761_); trivial.
% 20.59/20.77 apply (zenon_L1718_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1765_ *)
% 20.59/20.77 assert (zenon_L1766_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_Hdc zenon_Hcc zenon_Hfb zenon_H2ab zenon_H121 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H2a6 zenon_H29e zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H219 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H387 zenon_H56b zenon_H358 zenon_H33e zenon_H11c zenon_Hfc zenon_H47b zenon_H328.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.77 apply (zenon_L3_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.77 apply (zenon_L1765_); trivial.
% 20.59/20.77 apply (zenon_L1723_); trivial.
% 20.59/20.77 apply (zenon_L1730_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1766_ *)
% 20.59/20.77 assert (zenon_L1767_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1bc zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L529_); trivial.
% 20.59/20.77 apply (zenon_L586_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1767_ *)
% 20.59/20.77 assert (zenon_L1768_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.77 apply (zenon_L1767_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L529_); trivial.
% 20.59/20.77 apply (zenon_L1760_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1768_ *)
% 20.59/20.77 assert (zenon_L1769_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H478 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.77 apply (zenon_L1505_); trivial.
% 20.59/20.77 apply (zenon_L579_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1769_ *)
% 20.59/20.77 assert (zenon_L1770_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H358 zenon_H29e zenon_H2a6 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.77 apply (zenon_L3_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L1768_); trivial.
% 20.59/20.77 apply (zenon_L1740_); trivial.
% 20.59/20.77 apply (zenon_L1769_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1770_ *)
% 20.59/20.77 assert (zenon_L1771_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.59/20.77 apply (zenon_L635_); trivial.
% 20.59/20.77 apply (zenon_L91_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1771_ *)
% 20.59/20.77 assert (zenon_L1772_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_Hae zenon_H2f9 zenon_H307 zenon_Ha3.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.77 apply (zenon_L636_); trivial.
% 20.59/20.77 apply (zenon_L1771_); trivial.
% 20.59/20.77 apply (zenon_L305_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1772_ *)
% 20.59/20.77 assert (zenon_L1773_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H1bc zenon_H1c8 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L1772_); trivial.
% 20.59/20.77 apply (zenon_L586_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1773_ *)
% 20.59/20.77 assert (zenon_L1774_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H22b zenon_H132 zenon_Hc8 zenon_H535 zenon_H533 zenon_H1ed zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H19e zenon_H149 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1ec zenon_H1eb zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L1772_); trivial.
% 20.59/20.77 apply (zenon_L1760_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1774_ *)
% 20.59/20.77 assert (zenon_L1775_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.77 apply (zenon_L1773_); trivial.
% 20.59/20.77 apply (zenon_L1774_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1775_ *)
% 20.59/20.77 assert (zenon_L1776_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L1772_); trivial.
% 20.59/20.77 apply (zenon_L1644_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1776_ *)
% 20.59/20.77 assert (zenon_L1777_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_H535 zenon_H533 zenon_Ha3 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1eb.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.59/20.77 apply (zenon_L875_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.77 apply (zenon_L1524_); trivial.
% 20.59/20.77 apply (zenon_L417_); trivial.
% 20.59/20.77 apply (zenon_L1127_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1777_ *)
% 20.59/20.77 assert (zenon_L1778_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1c8 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.77 apply (zenon_L1773_); trivial.
% 20.59/20.77 apply (zenon_L1777_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1778_ *)
% 20.59/20.77 assert (zenon_L1779_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H37c zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.59/20.77 apply (zenon_L617_); trivial.
% 20.59/20.77 apply (zenon_L549_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1779_ *)
% 20.59/20.77 assert (zenon_L1780_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.77 apply (zenon_L1498_); trivial.
% 20.59/20.77 apply (zenon_L1779_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1780_ *)
% 20.59/20.77 assert (zenon_L1781_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c1_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H3a6 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1cf zenon_H1ed zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L1778_); trivial.
% 20.59/20.77 apply (zenon_L1780_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1781_ *)
% 20.59/20.77 assert (zenon_L1782_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c1_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H3a6 zenon_H33e zenon_H358 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H1ed zenon_H1cf zenon_H1c7 zenon_H1c3 zenon_H1c8 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H121 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.77 apply (zenon_L3_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L1775_); trivial.
% 20.59/20.77 apply (zenon_L1776_); trivial.
% 20.59/20.77 apply (zenon_L1781_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1782_ *)
% 20.59/20.77 assert (zenon_L1783_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H325 zenon_H47b zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H183 zenon_H2e zenon_H219 zenon_H132 zenon_H23b.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L252_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L643_); trivial.
% 20.59/20.77 apply (zenon_L1633_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.77 apply (zenon_L251_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.77 apply (zenon_L643_); trivial.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.77 apply (zenon_L1617_); trivial.
% 20.59/20.77 apply (zenon_L631_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1783_ *)
% 20.59/20.77 assert (zenon_L1784_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H328 zenon_H47b zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H183 zenon_H2e zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.77 apply (zenon_L3_); trivial.
% 20.59/20.77 apply (zenon_L1783_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1784_ *)
% 20.59/20.77 assert (zenon_L1785_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.77 apply (zenon_L482_); trivial.
% 20.59/20.77 apply (zenon_L497_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1785_ *)
% 20.59/20.77 assert (zenon_L1786_ : ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp34)) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H358 zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8f zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H183 zenon_H338 zenon_Hc zenon_H471 zenon_H46f zenon_H470 zenon_H33e.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.59/20.77 apply (zenon_L715_); trivial.
% 20.59/20.77 apply (zenon_L1785_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1786_ *)
% 20.59/20.77 assert (zenon_L1787_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H93 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H78 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5b.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.59/20.77 apply (zenon_L492_); trivial.
% 20.59/20.77 apply (zenon_L466_); trivial.
% 20.59/20.77 apply (zenon_L1653_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1787_ *)
% 20.59/20.77 assert (zenon_L1788_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.59/20.77 do 0 intro. intros zenon_H37c zenon_Hc5 zenon_H166 zenon_H183 zenon_H93 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5b zenon_H8c zenon_Ha3.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.59/20.77 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.59/20.77 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.59/20.77 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.59/20.77 apply (zenon_L1787_); trivial.
% 20.59/20.77 apply (zenon_L497_); trivial.
% 20.59/20.77 apply (zenon_L812_); trivial.
% 20.59/20.77 (* end of lemma zenon_L1788_ *)
% 20.59/20.77 assert (zenon_L1789_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_Hc5 zenon_H93 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H265 zenon_H285 zenon_H5b zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.78 apply (zenon_L252_); trivial.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.59/20.78 apply (zenon_L1786_); trivial.
% 20.59/20.78 apply (zenon_L1788_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1789_ *)
% 20.59/20.78 assert (zenon_L1790_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H165 zenon_H8f zenon_Ha3 zenon_H19e zenon_H249 zenon_Hdd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.78 apply (zenon_L251_); trivial.
% 20.59/20.78 apply (zenon_L1665_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1790_ *)
% 20.59/20.78 assert (zenon_L1791_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H25e zenon_H3ba zenon_H273 zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H219 zenon_H2e zenon_H183 zenon_H166 zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H47b zenon_H328.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.78 apply (zenon_L1784_); trivial.
% 20.59/20.78 apply (zenon_L1790_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1791_ *)
% 20.59/20.78 assert (zenon_L1792_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_Hc8 zenon_H23b zenon_H47b zenon_H328.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.78 apply (zenon_L1568_); trivial.
% 20.59/20.78 apply (zenon_L659_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1792_ *)
% 20.59/20.78 assert (zenon_L1793_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.78 apply (zenon_L643_); trivial.
% 20.59/20.78 apply (zenon_L1644_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1793_ *)
% 20.59/20.78 assert (zenon_L1794_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H23b zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hc zenon_Hdd zenon_H249.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.78 apply (zenon_L252_); trivial.
% 20.59/20.78 apply (zenon_L1793_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1794_ *)
% 20.59/20.78 assert (zenon_L1795_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H12e zenon_H219 zenon_H471 zenon_H470 zenon_H46f zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.59/20.78 apply (zenon_L1643_); trivial.
% 20.59/20.78 apply (zenon_L631_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1795_ *)
% 20.59/20.78 assert (zenon_L1796_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H325 zenon_H47b zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H219 zenon_H132 zenon_H23b.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.59/20.78 apply (zenon_L1794_); trivial.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.78 apply (zenon_L252_); trivial.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.78 apply (zenon_L643_); trivial.
% 20.59/20.78 apply (zenon_L1795_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1796_ *)
% 20.59/20.78 assert (zenon_L1797_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H328 zenon_H47b zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.59/20.78 apply (zenon_L3_); trivial.
% 20.59/20.78 apply (zenon_L1796_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1797_ *)
% 20.59/20.78 assert (zenon_L1798_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H25e zenon_H3ba zenon_H273 zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H219 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H307 zenon_H2f9 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H47b zenon_H328.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.78 apply (zenon_L1797_); trivial.
% 20.59/20.78 apply (zenon_L1790_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1798_ *)
% 20.59/20.78 assert (zenon_L1799_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H203 zenon_H121 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.59/20.78 apply (zenon_L1578_); trivial.
% 20.59/20.78 apply (zenon_L659_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1799_ *)
% 20.59/20.78 assert (zenon_L1800_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H485 zenon_H132 zenon_H1cf zenon_H277 zenon_H265 zenon_H165 zenon_H285 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H5ec zenon_H212 zenon_H215 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H436 zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H335.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.59/20.78 apply (zenon_L1799_); trivial.
% 20.59/20.78 apply (zenon_L1686_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1800_ *)
% 20.59/20.78 assert (zenon_L1801_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.59/20.78 do 0 intro. intros zenon_H23b zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H273 zenon_H1dd zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1eb zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_Hdd zenon_H203 zenon_Hc5 zenon_H183 zenon_H423 zenon_H166 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H1cf zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H463 zenon_H46d zenon_H219 zenon_H132 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.59/20.78 apply (zenon_L251_); trivial.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.59/20.78 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.59/20.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.59/20.78 apply (zenon_L354_); trivial.
% 20.59/20.78 apply (zenon_L1698_); trivial.
% 20.59/20.78 apply (zenon_L1717_); trivial.
% 20.59/20.78 (* end of lemma zenon_L1801_ *)
% 20.59/20.78 assert (zenon_L1802_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H481 zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H273 zenon_H1dd zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1eb zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_Hdd zenon_H203 zenon_Hc5 zenon_H183 zenon_H423 zenon_H166 zenon_H2a6 zenon_H29e zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H1cf zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H46d zenon_H219 zenon_H132 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H387 zenon_H215 zenon_H212 zenon_H56b zenon_H358 zenon_H33e zenon_H11c zenon_Hfc zenon_H47b zenon_H328.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.69/20.78 apply (zenon_L3_); trivial.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.78 apply (zenon_L1801_); trivial.
% 20.69/20.78 apply (zenon_L1723_); trivial.
% 20.69/20.78 apply (zenon_L1685_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1802_ *)
% 20.69/20.78 assert (zenon_L1803_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H325 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.78 apply (zenon_L1566_); trivial.
% 20.69/20.78 apply (zenon_L1468_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1803_ *)
% 20.69/20.78 assert (zenon_L1804_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.69/20.78 apply (zenon_L3_); trivial.
% 20.69/20.78 apply (zenon_L1803_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1804_ *)
% 20.69/20.78 assert (zenon_L1805_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H335 zenon_H23b zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.78 apply (zenon_L1804_); trivial.
% 20.69/20.78 apply (zenon_L659_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1805_ *)
% 20.69/20.78 assert (zenon_L1806_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp42)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H1cb zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H156 zenon_H158 zenon_H157 zenon_H1f1 zenon_H285 zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H423 zenon_H8c zenon_H8f zenon_H183.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.78 apply (zenon_L1693_); trivial.
% 20.69/20.78 apply (zenon_L308_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1806_ *)
% 20.69/20.78 assert (zenon_L1807_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_Hf1 zenon_H8c zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H183 zenon_H423 zenon_H166 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H1bc zenon_H157 zenon_H158 zenon_H156 zenon_H1cf.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.69/20.78 apply (zenon_L1614_); trivial.
% 20.69/20.78 apply (zenon_L1806_); trivial.
% 20.69/20.78 apply (zenon_L270_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1807_ *)
% 20.69/20.78 assert (zenon_L1808_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H156 zenon_H158 zenon_H157 zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H121.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.78 apply (zenon_L1807_); trivial.
% 20.69/20.78 apply (zenon_L1565_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1808_ *)
% 20.69/20.78 assert (zenon_L1809_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H156 zenon_H158 zenon_H157 zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_Ha3 zenon_H319.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.78 apply (zenon_L643_); trivial.
% 20.69/20.78 apply (zenon_L1808_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1809_ *)
% 20.69/20.78 assert (zenon_L1810_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H140 zenon_H141 zenon_H142 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.69/20.78 apply (zenon_L1484_); trivial.
% 20.69/20.78 apply (zenon_L417_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1810_ *)
% 20.69/20.78 assert (zenon_L1811_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H1cf zenon_H140 zenon_H141 zenon_H142 zenon_H3ba zenon_H273 zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.69/20.78 apply (zenon_L1614_); trivial.
% 20.69/20.78 apply (zenon_L1810_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1811_ *)
% 20.69/20.78 assert (zenon_L1812_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H12e zenon_H1eb zenon_H219 zenon_H46d zenon_H157 zenon_H156 zenon_H158 zenon_H463 zenon_H1cf zenon_H3ba zenon_H273 zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_Hfc zenon_H11c zenon_H121 zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.69/20.78 apply (zenon_L875_); trivial.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.69/20.78 apply (zenon_L1811_); trivial.
% 20.69/20.78 apply (zenon_L152_); trivial.
% 20.69/20.78 apply (zenon_L1565_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1812_ *)
% 20.69/20.78 assert (zenon_L1813_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H22b zenon_H132 zenon_H1eb zenon_H219 zenon_H46d zenon_H157 zenon_H156 zenon_H158 zenon_H463 zenon_H1cf zenon_H3ba zenon_H273 zenon_H212 zenon_H215 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_Hfc zenon_H11c zenon_H121 zenon_H533 zenon_H535 zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_Ha3 zenon_H319.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.78 apply (zenon_L643_); trivial.
% 20.69/20.78 apply (zenon_L1812_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1813_ *)
% 20.69/20.78 assert (zenon_L1814_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H1cf zenon_H156 zenon_H158 zenon_H157 zenon_H1bc zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_Ha3 zenon_H319.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.78 apply (zenon_L643_); trivial.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.78 apply (zenon_L1807_); trivial.
% 20.69/20.78 apply (zenon_L631_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1814_ *)
% 20.69/20.78 assert (zenon_L1815_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c0_1 (a1055))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.69/20.78 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H273 zenon_H1eb zenon_H319 zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H423 zenon_H166 zenon_H452 zenon_H450 zenon_H3ba zenon_H1c8 zenon_H157 zenon_H158 zenon_H156 zenon_H1cf zenon_H132 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.69/20.78 apply (zenon_L1507_); trivial.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.69/20.78 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.69/20.78 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.69/20.78 apply (zenon_L1814_); trivial.
% 20.69/20.78 apply (zenon_L1777_); trivial.
% 20.69/20.78 (* end of lemma zenon_L1815_ *)
% 20.69/20.78 assert (zenon_L1816_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H325 zenon_H47b zenon_Hc8 zenon_H93 zenon_H6c zenon_H33e zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H156 zenon_H158 zenon_H157 zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H535 zenon_H533 zenon_H11c zenon_Hfc zenon_H273 zenon_H1eb zenon_H23c zenon_H23b.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.69/20.79 apply (zenon_L251_); trivial.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.69/20.79 apply (zenon_L1809_); trivial.
% 20.69/20.79 apply (zenon_L1813_); trivial.
% 20.69/20.79 apply (zenon_L1815_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1816_ *)
% 20.69/20.79 assert (zenon_L1817_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_H93 zenon_H6c zenon_H33e zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H156 zenon_H158 zenon_H157 zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H535 zenon_H533 zenon_H11c zenon_Hfc zenon_H273 zenon_H1eb zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.69/20.79 apply (zenon_L3_); trivial.
% 20.69/20.79 apply (zenon_L1816_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1817_ *)
% 20.69/20.79 assert (zenon_L1818_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H156 zenon_H158 zenon_H212 zenon_H215 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.79 apply (zenon_L768_); trivial.
% 20.69/20.79 apply (zenon_L1565_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1818_ *)
% 20.69/20.79 assert (zenon_L1819_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.79 apply (zenon_L768_); trivial.
% 20.69/20.79 apply (zenon_L631_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1819_ *)
% 20.69/20.79 assert (zenon_L1820_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L217_); trivial.
% 20.69/20.79 apply (zenon_L1819_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1820_ *)
% 20.69/20.79 assert (zenon_L1821_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H215 zenon_H212 zenon_H158 zenon_H156 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H132.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L217_); trivial.
% 20.69/20.79 apply (zenon_L1818_); trivial.
% 20.69/20.79 apply (zenon_L1820_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1821_ *)
% 20.69/20.79 assert (zenon_L1822_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(hskp51)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H544 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H545 | zenon_intro zenon_H54b ].
% 20.69/20.79 exact (zenon_H544 zenon_H545).
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H26c | zenon_intro zenon_H546 ].
% 20.69/20.79 apply (zenon_L939_); trivial.
% 20.69/20.79 apply (zenon_L888_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.69/20.79 apply (zenon_L1431_); trivial.
% 20.69/20.79 apply (zenon_L848_); trivial.
% 20.69/20.79 apply (zenon_L89_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1822_ *)
% 20.69/20.79 assert (zenon_L1823_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.69/20.79 apply (zenon_L1622_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.69/20.79 apply (zenon_L1431_); trivial.
% 20.69/20.79 apply (zenon_L848_); trivial.
% 20.69/20.79 apply (zenon_L91_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1823_ *)
% 20.69/20.79 assert (zenon_L1824_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp51)) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H544 zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.79 apply (zenon_L1822_); trivial.
% 20.69/20.79 apply (zenon_L1823_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1824_ *)
% 20.69/20.79 assert (zenon_L1825_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1034))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H273 zenon_H127 zenon_H126 zenon_H24a zenon_H125 zenon_H558 zenon_H550 zenon_H551 zenon_H6e zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.69/20.79 apply (zenon_L190_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.69/20.79 apply (zenon_L895_); trivial.
% 20.69/20.79 apply (zenon_L399_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1825_ *)
% 20.69/20.79 assert (zenon_L1826_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H265 zenon_H3ba zenon_H6e zenon_H551 zenon_H550 zenon_H558 zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H3bc zenon_H3bb zenon_H14b zenon_Hc zenon_H263.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.69/20.79 apply (zenon_L1825_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.69/20.79 apply (zenon_L424_); trivial.
% 20.69/20.79 exact (zenon_H263 zenon_H264).
% 20.69/20.79 (* end of lemma zenon_L1826_ *)
% 20.69/20.79 assert (zenon_L1827_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42)))))) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H7a zenon_Hc zenon_H267 zenon_H550 zenon_H551.
% 20.69/20.79 generalize (zenon_H7a (a1070)). zenon_intro zenon_H62b.
% 20.69/20.79 apply (zenon_imply_s _ _ zenon_H62b); [ zenon_intro zenon_Hb | zenon_intro zenon_H62c ].
% 20.69/20.79 exact (zenon_Hb zenon_Hc).
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H62c); [ zenon_intro zenon_H54f | zenon_intro zenon_H554 ].
% 20.69/20.79 apply (zenon_L894_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H557 | zenon_intro zenon_H556 ].
% 20.69/20.79 exact (zenon_H550 zenon_H557).
% 20.69/20.79 exact (zenon_H556 zenon_H551).
% 20.69/20.79 (* end of lemma zenon_L1827_ *)
% 20.69/20.79 assert (zenon_L1828_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (~(c0_1 (a1034))) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H273 zenon_H127 zenon_H126 zenon_H24a zenon_H125 zenon_H551 zenon_H550 zenon_H7a zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.69/20.79 apply (zenon_L190_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.69/20.79 apply (zenon_L1827_); trivial.
% 20.69/20.79 apply (zenon_L399_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1828_ *)
% 20.69/20.79 assert (zenon_L1829_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H558 zenon_H550 zenon_H551 zenon_H6e zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.69/20.79 apply (zenon_L181_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.69/20.79 apply (zenon_L895_); trivial.
% 20.69/20.79 apply (zenon_L399_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1829_ *)
% 20.69/20.79 assert (zenon_L1830_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H551 zenon_H550 zenon_H7a zenon_Hc zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.69/20.79 apply (zenon_L181_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.69/20.79 apply (zenon_L1827_); trivial.
% 20.69/20.79 apply (zenon_L399_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1830_ *)
% 20.69/20.79 assert (zenon_L1831_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1070)) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H282 zenon_H8f zenon_H558 zenon_H78 zenon_H273 zenon_H551 zenon_H550 zenon_H3ba zenon_H3bb zenon_H3bc.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.69/20.79 apply (zenon_L1829_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.69/20.79 exact (zenon_H78 zenon_H79).
% 20.69/20.79 apply (zenon_L1830_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1831_ *)
% 20.69/20.79 assert (zenon_L1832_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H285 zenon_H8f zenon_H78 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H558 zenon_H550 zenon_H551 zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H265 zenon_H161 zenon_H163 zenon_H165.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.69/20.79 apply (zenon_L1826_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.69/20.79 exact (zenon_H78 zenon_H79).
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.69/20.79 apply (zenon_L1828_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.69/20.79 apply (zenon_L424_); trivial.
% 20.69/20.79 exact (zenon_H263 zenon_H264).
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.69/20.79 exact (zenon_H161 zenon_H162).
% 20.69/20.79 exact (zenon_H163 zenon_H164).
% 20.69/20.79 apply (zenon_L1831_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1832_ *)
% 20.69/20.79 assert (zenon_L1833_ : ((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H55d zenon_Ha3 zenon_H183 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H165 zenon_H163 zenon_H161 zenon_H265 zenon_H125 zenon_H126 zenon_H127 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H8f zenon_H285.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.79 apply (zenon_L1832_); trivial.
% 20.69/20.79 apply (zenon_L1823_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1833_ *)
% 20.69/20.79 assert (zenon_L1834_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_H161 zenon_H165 zenon_H560.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.69/20.79 apply (zenon_L1824_); trivial.
% 20.69/20.79 apply (zenon_L1833_); trivial.
% 20.69/20.79 apply (zenon_L100_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1834_ *)
% 20.69/20.79 assert (zenon_L1835_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H12e zenon_H1cf zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H277 zenon_H275 zenon_H40d zenon_H212 zenon_H215 zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.69/20.79 apply (zenon_L1834_); trivial.
% 20.69/20.79 apply (zenon_L1660_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1835_ *)
% 20.69/20.79 assert (zenon_L1836_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_Hc5 zenon_H32b zenon_H32a zenon_H329 zenon_H277 zenon_H40d zenon_H212 zenon_H215 zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L217_); trivial.
% 20.69/20.79 apply (zenon_L1835_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1836_ *)
% 20.69/20.79 assert (zenon_L1837_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H277 zenon_H212 zenon_H215 zenon_H560 zenon_H165 zenon_H265 zenon_H285 zenon_H183 zenon_H8f zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.69/20.79 apply (zenon_L1111_); trivial.
% 20.69/20.79 apply (zenon_L1836_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1837_ *)
% 20.69/20.79 assert (zenon_L1838_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_H132 zenon_H1cf zenon_H277 zenon_H560 zenon_H165 zenon_H265 zenon_H285 zenon_H183 zenon_H8f zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H166 zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.79 apply (zenon_L1497_); trivial.
% 20.69/20.79 apply (zenon_L1837_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1838_ *)
% 20.69/20.79 assert (zenon_L1839_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H23a zenon_H53b zenon_H249 zenon_H560 zenon_H54a zenon_H484 zenon_H23c zenon_H1eb zenon_Hfc zenon_H11c zenon_H533 zenon_H535 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H166 zenon_H1c8 zenon_H387 zenon_H56b zenon_H358 zenon_H33e zenon_H335 zenon_H23b zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H8c zenon_H203 zenon_H121 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328 zenon_H423 zenon_H40d zenon_H2ab zenon_H275 zenon_H19e zenon_H285 zenon_H165 zenon_H265 zenon_H277 zenon_H1cf zenon_H132 zenon_H485 zenon_H4d4 zenon_H48a zenon_H48c zenon_H2b9.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.69/20.79 apply (zenon_L1805_); trivial.
% 20.69/20.79 apply (zenon_L1686_); trivial.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.79 apply (zenon_L1817_); trivial.
% 20.69/20.79 apply (zenon_L1685_); trivial.
% 20.69/20.79 apply (zenon_L1821_); trivial.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.69/20.79 apply (zenon_L1805_); trivial.
% 20.69/20.79 apply (zenon_L1838_); trivial.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.79 apply (zenon_L1817_); trivial.
% 20.69/20.79 apply (zenon_L1837_); trivial.
% 20.69/20.79 apply (zenon_L223_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1839_ *)
% 20.69/20.79 assert (zenon_L1840_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H500 zenon_H341 zenon_H342 zenon_H25 zenon_H23 zenon_H24 zenon_H403 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.69/20.79 apply (zenon_L1292_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.69/20.79 apply (zenon_L940_); trivial.
% 20.69/20.79 apply (zenon_L1479_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1840_ *)
% 20.69/20.79 assert (zenon_L1841_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H500 zenon_H340 zenon_H341 zenon_H342 zenon_H26c zenon_H40a zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.69/20.79 apply (zenon_L1062_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.69/20.79 apply (zenon_L1431_); trivial.
% 20.69/20.79 apply (zenon_L1480_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1841_ *)
% 20.69/20.79 assert (zenon_L1842_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1084)) -> (~(c3_1 (a1084))) -> (~(c1_1 (a1084))) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H40d zenon_H24 zenon_H23 zenon_H25 zenon_H60 zenon_H500 zenon_H340 zenon_H341 zenon_H342 zenon_H26c zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.69/20.79 apply (zenon_L1840_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.69/20.79 exact (zenon_H60 zenon_H61).
% 20.69/20.79 apply (zenon_L1841_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1842_ *)
% 20.69/20.79 assert (zenon_L1843_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp45)) -> (~(hskp44)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp58)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H277 zenon_H163 zenon_H161 zenon_H265 zenon_H127 zenon_H126 zenon_H125 zenon_H3bc zenon_H3bb zenon_H263 zenon_H165 zenon_H5ec zenon_H5ed zenon_H5eb zenon_Hc zenon_H342 zenon_H341 zenon_H340 zenon_H500 zenon_H60 zenon_H25 zenon_H23 zenon_H24 zenon_H40d zenon_H275.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.69/20.79 apply (zenon_L567_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.69/20.79 apply (zenon_L1842_); trivial.
% 20.69/20.79 exact (zenon_H275 zenon_H276).
% 20.69/20.79 (* end of lemma zenon_L1843_ *)
% 20.69/20.79 assert (zenon_L1844_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H282 zenon_H277 zenon_H5ec zenon_H5ed zenon_H5eb zenon_H342 zenon_H341 zenon_H340 zenon_H500 zenon_H60 zenon_H25 zenon_H23 zenon_H24 zenon_H40d zenon_H275.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.69/20.79 apply (zenon_L181_); trivial.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.69/20.79 apply (zenon_L1842_); trivial.
% 20.69/20.79 exact (zenon_H275 zenon_H276).
% 20.69/20.79 (* end of lemma zenon_L1844_ *)
% 20.69/20.79 assert (zenon_L1845_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (~(hskp47)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H1f zenon_H285 zenon_H165 zenon_H163 zenon_H161 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H60 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.69/20.79 apply (zenon_L1843_); trivial.
% 20.69/20.79 apply (zenon_L1844_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1845_ *)
% 20.69/20.79 assert (zenon_L1846_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H2e zenon_H285 zenon_H165 zenon_H163 zenon_H161 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.69/20.79 apply (zenon_L396_); trivial.
% 20.69/20.79 apply (zenon_L1845_); trivial.
% 20.69/20.79 apply (zenon_L33_); trivial.
% 20.69/20.79 apply (zenon_L341_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1846_ *)
% 20.69/20.79 assert (zenon_L1847_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H2e zenon_H285 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.69/20.79 apply (zenon_L1846_); trivial.
% 20.69/20.79 apply (zenon_L356_); trivial.
% 20.69/20.79 apply (zenon_L100_); trivial.
% 20.69/20.79 apply (zenon_L713_); trivial.
% 20.69/20.79 apply (zenon_L315_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1847_ *)
% 20.69/20.79 assert (zenon_L1848_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.79 apply (zenon_L1847_); trivial.
% 20.69/20.79 apply (zenon_L1591_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1848_ *)
% 20.69/20.79 assert (zenon_L1849_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hdd zenon_H249 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L264_); trivial.
% 20.69/20.79 apply (zenon_L1848_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1849_ *)
% 20.69/20.79 assert (zenon_L1850_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.79 apply (zenon_L1847_); trivial.
% 20.69/20.79 apply (zenon_L631_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1850_ *)
% 20.69/20.79 assert (zenon_L1851_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H37c zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H1cf zenon_H48c zenon_H48a zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L306_); trivial.
% 20.69/20.79 apply (zenon_L1850_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1851_ *)
% 20.69/20.79 assert (zenon_L1852_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H237 zenon_H387 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H319 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.69/20.79 apply (zenon_L1498_); trivial.
% 20.69/20.79 apply (zenon_L1851_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1852_ *)
% 20.69/20.79 assert (zenon_L1853_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H212 zenon_H215 zenon_H219 zenon_H132.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L368_); trivial.
% 20.69/20.79 apply (zenon_L1850_); trivial.
% 20.69/20.79 apply (zenon_L1852_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1853_ *)
% 20.69/20.79 assert (zenon_L1854_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.69/20.79 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.69/20.79 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.79 apply (zenon_L368_); trivial.
% 20.69/20.79 apply (zenon_L1848_); trivial.
% 20.69/20.79 apply (zenon_L1849_); trivial.
% 20.69/20.79 apply (zenon_L1853_); trivial.
% 20.69/20.79 (* end of lemma zenon_L1854_ *)
% 20.69/20.79 assert (zenon_L1855_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.69/20.79 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.69/20.80 apply (zenon_L3_); trivial.
% 20.69/20.80 apply (zenon_L1854_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1855_ *)
% 20.69/20.80 assert (zenon_L1856_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H335 zenon_H273 zenon_H25e zenon_H436 zenon_H433 zenon_H435 zenon_H5 zenon_H6 zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H358 zenon_H33e zenon_H387 zenon_H47b zenon_H328.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.80 apply (zenon_L1855_); trivial.
% 20.69/20.80 apply (zenon_L695_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1856_ *)
% 20.69/20.80 assert (zenon_L1857_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H1ee zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.69/20.80 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.80 apply (zenon_L1638_); trivial.
% 20.69/20.80 apply (zenon_L690_); trivial.
% 20.69/20.80 apply (zenon_L400_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1857_ *)
% 20.69/20.80 assert (zenon_L1858_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H127 zenon_H126 zenon_H125 zenon_H2e.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.69/20.80 apply (zenon_L428_); trivial.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.69/20.80 apply (zenon_L1843_); trivial.
% 20.69/20.80 apply (zenon_L427_); trivial.
% 20.69/20.80 apply (zenon_L33_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1858_ *)
% 20.69/20.80 assert (zenon_L1859_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_Ha3 zenon_H2e zenon_H125 zenon_H126 zenon_H127 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.80 apply (zenon_L1858_); trivial.
% 20.69/20.80 apply (zenon_L690_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1859_ *)
% 20.69/20.80 assert (zenon_L1860_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H1cb zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H48c zenon_H48a zenon_H1f1 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.69/20.80 apply (zenon_L712_); trivial.
% 20.69/20.80 apply (zenon_L690_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1860_ *)
% 20.69/20.80 assert (zenon_L1861_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H1cf zenon_H48c zenon_H48a zenon_H1f1 zenon_H166 zenon_H183 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H127 zenon_H126 zenon_H125 zenon_H2e zenon_Ha3 zenon_H19e.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.69/20.80 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.69/20.80 apply (zenon_L1859_); trivial.
% 20.69/20.80 apply (zenon_L400_); trivial.
% 20.69/20.80 apply (zenon_L100_); trivial.
% 20.69/20.80 apply (zenon_L1860_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1861_ *)
% 20.69/20.80 assert (zenon_L1862_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.80 apply (zenon_L1861_); trivial.
% 20.69/20.80 apply (zenon_L628_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1862_ *)
% 20.69/20.80 assert (zenon_L1863_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H165 zenon_Hdc zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H249 zenon_Hdd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_Hc zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.80 apply (zenon_L666_); trivial.
% 20.69/20.80 apply (zenon_L1862_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1863_ *)
% 20.69/20.80 assert (zenon_L1864_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.69/20.80 apply (zenon_L1861_); trivial.
% 20.69/20.80 apply (zenon_L631_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1864_ *)
% 20.69/20.80 assert (zenon_L1865_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H165 zenon_Hdc zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H249 zenon_Hdd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.80 apply (zenon_L666_); trivial.
% 20.69/20.80 apply (zenon_L1864_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1865_ *)
% 20.69/20.80 assert (zenon_L1866_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H332 zenon_H47b zenon_H215 zenon_H212 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_Hdd zenon_H249 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_Hdc zenon_H165 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H46d zenon_H219 zenon_H132.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.80 apply (zenon_L1863_); trivial.
% 20.69/20.80 apply (zenon_L1865_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1866_ *)
% 20.69/20.80 assert (zenon_L1867_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H481 zenon_H335 zenon_H273 zenon_H3ba zenon_H25e zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H358 zenon_H33e zenon_H387 zenon_H47b zenon_H328.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.69/20.80 apply (zenon_L1855_); trivial.
% 20.69/20.80 apply (zenon_L1866_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1867_ *)
% 20.69/20.80 assert (zenon_L1868_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H328 zenon_H47b zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H121 zenon_H19e zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.69/20.80 apply (zenon_L3_); trivial.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.80 apply (zenon_L383_); trivial.
% 20.69/20.80 apply (zenon_L1848_); trivial.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.69/20.80 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.69/20.80 apply (zenon_L383_); trivial.
% 20.69/20.80 apply (zenon_L1850_); trivial.
% 20.69/20.80 (* end of lemma zenon_L1868_ *)
% 20.69/20.80 assert (zenon_L1869_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.69/20.80 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H273 zenon_H3ba zenon_H25e zenon_H256 zenon_H255 zenon_H249 zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_H47b zenon_H328.
% 20.69/20.80 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.80 apply (zenon_L1868_); trivial.
% 20.71/20.80 apply (zenon_L674_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1869_ *)
% 20.71/20.80 assert (zenon_L1870_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H3ae zenon_H485 zenon_H1eb zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H5b zenon_H3ba zenon_H138 zenon_H135 zenon_H137 zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H5 zenon_H435 zenon_H25e zenon_H273 zenon_H335 zenon_Hc0 zenon_H484.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.71/20.80 apply (zenon_L1856_); trivial.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.80 apply (zenon_L1497_); trivial.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.71/20.80 apply (zenon_L73_); trivial.
% 20.71/20.80 apply (zenon_L1857_); trivial.
% 20.71/20.80 apply (zenon_L1867_); trivial.
% 20.71/20.80 apply (zenon_L1869_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1870_ *)
% 20.71/20.80 assert (zenon_L1871_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.80 apply (zenon_L3_); trivial.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.80 apply (zenon_L1566_); trivial.
% 20.71/20.80 apply (zenon_L1680_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1871_ *)
% 20.71/20.80 assert (zenon_L1872_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H335 zenon_H255 zenon_H25e zenon_H256 zenon_H342 zenon_H340 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H1dd zenon_H137 zenon_H135 zenon_H138 zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1eb zenon_Hc8 zenon_H47b zenon_H328.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.80 apply (zenon_L1871_); trivial.
% 20.71/20.80 apply (zenon_L695_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1872_ *)
% 20.71/20.80 assert (zenon_L1873_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H249 zenon_Hdd zenon_H25e zenon_H256 zenon_H255 zenon_H140 zenon_H141 zenon_H142 zenon_H275 zenon_H277 zenon_H5b.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.80 apply (zenon_L706_); trivial.
% 20.71/20.80 apply (zenon_L184_); trivial.
% 20.71/20.80 apply (zenon_L33_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1873_ *)
% 20.71/20.80 assert (zenon_L1874_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H342 zenon_H340 zenon_H5b zenon_H277 zenon_H275 zenon_H142 zenon_H141 zenon_H140 zenon_H255 zenon_H256 zenon_H25e zenon_Hdd zenon_H249 zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_Hdc zenon_H165 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_Hc5.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.80 apply (zenon_L1873_); trivial.
% 20.71/20.80 apply (zenon_L690_); trivial.
% 20.71/20.80 apply (zenon_L400_); trivial.
% 20.71/20.80 apply (zenon_L100_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1874_ *)
% 20.71/20.80 assert (zenon_L1875_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H1ee zenon_H1cf zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H249 zenon_Hdd zenon_H25e zenon_H256 zenon_H255 zenon_H275 zenon_H277 zenon_H5b zenon_H340 zenon_H342 zenon_Ha3 zenon_H19e.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.80 apply (zenon_L1874_); trivial.
% 20.71/20.80 apply (zenon_L1656_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1875_ *)
% 20.71/20.80 assert (zenon_L1876_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.80 apply (zenon_L426_); trivial.
% 20.71/20.80 apply (zenon_L1652_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1876_ *)
% 20.71/20.80 assert (zenon_L1877_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp58)) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1081))) -> (c1_1 (a1081)) -> (c3_1 (a1081)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H277 zenon_H263 zenon_H23f zenon_H255 zenon_H256 zenon_H25e zenon_H51 zenon_H4f zenon_H50 zenon_H265 zenon_H5ec zenon_H5ed zenon_H5eb zenon_Hc zenon_H342 zenon_H341 zenon_H340 zenon_H500 zenon_H60 zenon_H25 zenon_H23 zenon_H24 zenon_H40d zenon_H275.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.71/20.80 apply (zenon_L174_); trivial.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.71/20.80 apply (zenon_L1842_); trivial.
% 20.71/20.80 exact (zenon_H275 zenon_H276).
% 20.71/20.80 (* end of lemma zenon_L1877_ *)
% 20.71/20.80 assert (zenon_L1878_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp2)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H5b zenon_H58b zenon_H341 zenon_H342 zenon_H340 zenon_H255 zenon_H256 zenon_H25e zenon_H590 zenon_H265 zenon_H161 zenon_H163 zenon_H165 zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.80 apply (zenon_L1650_); trivial.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.80 apply (zenon_L1876_); trivial.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H590); [ zenon_intro zenon_H58c | zenon_intro zenon_H591 ].
% 20.71/20.80 exact (zenon_H58b zenon_H58c).
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H591); [ zenon_intro zenon_H23f | zenon_intro zenon_H58d ].
% 20.71/20.80 apply (zenon_L1877_); trivial.
% 20.71/20.80 apply (zenon_L1082_); trivial.
% 20.71/20.80 apply (zenon_L1652_); trivial.
% 20.71/20.80 apply (zenon_L33_); trivial.
% 20.71/20.80 apply (zenon_L293_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1878_ *)
% 20.71/20.80 assert (zenon_L1879_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (~(hskp2)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H478 zenon_H387 zenon_H219 zenon_H215 zenon_H19e zenon_H319 zenon_H33e zenon_H93 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_H165 zenon_H265 zenon_H590 zenon_H25e zenon_H256 zenon_H255 zenon_H340 zenon_H342 zenon_H341 zenon_H58b zenon_H5b zenon_Ha3 zenon_H358 zenon_Hc5 zenon_H48a zenon_H48c zenon_H1cf zenon_H132.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.71/20.80 apply (zenon_L715_); trivial.
% 20.71/20.80 apply (zenon_L1878_); trivial.
% 20.71/20.80 apply (zenon_L305_); trivial.
% 20.71/20.80 apply (zenon_L400_); trivial.
% 20.71/20.80 apply (zenon_L100_); trivial.
% 20.71/20.80 apply (zenon_L1860_); trivial.
% 20.71/20.80 apply (zenon_L631_); trivial.
% 20.71/20.80 apply (zenon_L1864_); trivial.
% 20.71/20.80 apply (zenon_L721_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1879_ *)
% 20.71/20.80 assert (zenon_L1880_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(c1_1 (a1059))) -> (~(hskp2)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H319 zenon_H33e zenon_H307 zenon_H2f9 zenon_H166 zenon_H308 zenon_H183 zenon_H3f5 zenon_H3f3 zenon_H590 zenon_H341 zenon_H58b zenon_H358 zenon_H48a zenon_H48c zenon_H132 zenon_H137 zenon_H135 zenon_H138 zenon_H19e zenon_Ha3 zenon_H342 zenon_H340 zenon_H5b zenon_H277 zenon_H275 zenon_H255 zenon_H256 zenon_H25e zenon_Hdd zenon_H249 zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_H1cf zenon_H1eb zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.80 apply (zenon_L1497_); trivial.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.71/20.80 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.71/20.80 apply (zenon_L73_); trivial.
% 20.71/20.80 apply (zenon_L1875_); trivial.
% 20.71/20.80 apply (zenon_L1879_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1880_ *)
% 20.71/20.80 assert (zenon_L1881_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(c1_1 (a1059))) -> (~(hskp2)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H485 zenon_H387 zenon_H319 zenon_H33e zenon_H307 zenon_H2f9 zenon_H166 zenon_H308 zenon_H183 zenon_H3f5 zenon_H3f3 zenon_H590 zenon_H341 zenon_H58b zenon_H358 zenon_H48a zenon_H48c zenon_H132 zenon_H19e zenon_H5b zenon_Hdd zenon_H249 zenon_H285 zenon_Hdc zenon_H165 zenon_H265 zenon_Hcc zenon_Hfb zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H1cf zenon_H328 zenon_H47b zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H340 zenon_H342 zenon_H256 zenon_H25e zenon_H255 zenon_H335.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.71/20.80 apply (zenon_L1872_); trivial.
% 20.71/20.80 apply (zenon_L1880_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1881_ *)
% 20.71/20.80 assert (zenon_L1882_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H127 zenon_H126 zenon_H125 zenon_H2e.
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.80 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.80 apply (zenon_L1876_); trivial.
% 20.71/20.80 apply (zenon_L1845_); trivial.
% 20.71/20.80 apply (zenon_L33_); trivial.
% 20.71/20.80 (* end of lemma zenon_L1882_ *)
% 20.71/20.80 assert (zenon_L1883_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.71/20.80 do 0 intro. intros zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H2e zenon_H125 zenon_H126 zenon_H127 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.81 apply (zenon_L1882_); trivial.
% 20.71/20.81 apply (zenon_L341_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1883_ *)
% 20.71/20.81 assert (zenon_L1884_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H2e zenon_H125 zenon_H126 zenon_H127 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.81 apply (zenon_L1883_); trivial.
% 20.71/20.81 apply (zenon_L311_); trivial.
% 20.71/20.81 apply (zenon_L100_); trivial.
% 20.71/20.81 apply (zenon_L713_); trivial.
% 20.71/20.81 apply (zenon_L315_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1884_ *)
% 20.71/20.81 assert (zenon_L1885_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.81 apply (zenon_L1884_); trivial.
% 20.71/20.81 apply (zenon_L1591_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1885_ *)
% 20.71/20.81 assert (zenon_L1886_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp31)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H463 zenon_H215 zenon_H46d zenon_H219 zenon_H132.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L368_); trivial.
% 20.71/20.81 apply (zenon_L1885_); trivial.
% 20.71/20.81 apply (zenon_L1645_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1886_ *)
% 20.71/20.81 assert (zenon_L1887_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H471 zenon_H470 zenon_H46f zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.81 apply (zenon_L1884_); trivial.
% 20.71/20.81 apply (zenon_L631_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1887_ *)
% 20.71/20.81 assert (zenon_L1888_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp42)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H165 zenon_H2e zenon_H1f1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.81 apply (zenon_L461_); trivial.
% 20.71/20.81 apply (zenon_L1652_); trivial.
% 20.71/20.81 apply (zenon_L1845_); trivial.
% 20.71/20.81 apply (zenon_L33_); trivial.
% 20.71/20.81 apply (zenon_L341_); trivial.
% 20.71/20.81 apply (zenon_L1570_); trivial.
% 20.71/20.81 apply (zenon_L100_); trivial.
% 20.71/20.81 apply (zenon_L1586_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1888_ *)
% 20.71/20.81 assert (zenon_L1889_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H37c zenon_H132 zenon_H219 zenon_H215 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_H203 zenon_H2e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H93 zenon_Hc5 zenon_H48a zenon_H48c zenon_H1cf zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L306_); trivial.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.81 apply (zenon_L1888_); trivial.
% 20.71/20.81 apply (zenon_L631_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1889_ *)
% 20.71/20.81 assert (zenon_L1890_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H237 zenon_H387 zenon_H132 zenon_H219 zenon_H215 zenon_H19e zenon_H203 zenon_H2e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H93 zenon_Hc5 zenon_H48a zenon_H48c zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H319 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.71/20.81 apply (zenon_L1498_); trivial.
% 20.71/20.81 apply (zenon_L1889_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1890_ *)
% 20.71/20.81 assert (zenon_L1891_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L1772_); trivial.
% 20.71/20.81 apply (zenon_L1885_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1891_ *)
% 20.71/20.81 assert (zenon_L1892_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L217_); trivial.
% 20.71/20.81 apply (zenon_L1848_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1892_ *)
% 20.71/20.81 assert (zenon_L1893_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.81 apply (zenon_L1859_); trivial.
% 20.71/20.81 apply (zenon_L214_); trivial.
% 20.71/20.81 apply (zenon_L100_); trivial.
% 20.71/20.81 apply (zenon_L1860_); trivial.
% 20.71/20.81 apply (zenon_L628_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1893_ *)
% 20.71/20.81 assert (zenon_L1894_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L217_); trivial.
% 20.71/20.81 apply (zenon_L1893_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1894_ *)
% 20.71/20.81 assert (zenon_L1895_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H478 zenon_H387 zenon_H342 zenon_H341 zenon_H340 zenon_H39 zenon_H3b zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5b zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.71/20.81 apply (zenon_L1505_); trivial.
% 20.71/20.81 apply (zenon_L721_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1895_ *)
% 20.71/20.81 assert (zenon_L1896_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H39 zenon_H3b zenon_H5b zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H46d zenon_H219 zenon_H132.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.81 apply (zenon_L1894_); trivial.
% 20.71/20.81 apply (zenon_L1895_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1896_ *)
% 20.71/20.81 assert (zenon_L1897_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H478 zenon_H23b zenon_H132 zenon_H19e zenon_H2e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_Hfb zenon_Hcc zenon_Hdc zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H48a zenon_H48c zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H342 zenon_H340 zenon_H341 zenon_H319 zenon_H183 zenon_H166 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.81 apply (zenon_L1507_); trivial.
% 20.71/20.81 apply (zenon_L1890_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1897_ *)
% 20.71/20.81 assert (zenon_L1898_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H335 zenon_H39 zenon_H3b zenon_H5b zenon_H273 zenon_H3ba zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H387 zenon_H56b zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Hc8 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H23b zenon_H47b zenon_H328.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.81 apply (zenon_L3_); trivial.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L217_); trivial.
% 20.71/20.81 apply (zenon_L1885_); trivial.
% 20.71/20.81 apply (zenon_L1897_); trivial.
% 20.71/20.81 apply (zenon_L1896_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1898_ *)
% 20.71/20.81 assert (zenon_L1899_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H23a zenon_H2b9 zenon_H249 zenon_H328 zenon_H47b zenon_H23b zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_Hc8 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H5 zenon_H3ba zenon_H273 zenon_H5b zenon_H3b zenon_H39 zenon_H335.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.71/20.81 apply (zenon_L1898_); trivial.
% 20.71/20.81 apply (zenon_L223_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1899_ *)
% 20.71/20.81 assert (zenon_L1900_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H2db zenon_H293 zenon_H2b9 zenon_H249 zenon_H328 zenon_H47b zenon_H23b zenon_Hfc zenon_H11c zenon_Hc8 zenon_H33e zenon_H2a6 zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H2ab zenon_H275 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H5 zenon_H3ba zenon_H273 zenon_H5b zenon_H3b zenon_H335 zenon_H3f5 zenon_H3f3 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H2df.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.81 apply (zenon_L3_); trivial.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.81 apply (zenon_L1892_); trivial.
% 20.71/20.81 apply (zenon_L1723_); trivial.
% 20.71/20.81 apply (zenon_L1896_); trivial.
% 20.71/20.81 apply (zenon_L223_); trivial.
% 20.71/20.81 apply (zenon_L1899_); trivial.
% 20.71/20.81 apply (zenon_L206_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1900_ *)
% 20.71/20.81 assert (zenon_L1901_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H332 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H340 zenon_H342 zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.81 apply (zenon_L1747_); trivial.
% 20.71/20.81 apply (zenon_L690_); trivial.
% 20.71/20.81 apply (zenon_L400_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1901_ *)
% 20.71/20.81 assert (zenon_L1902_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H47c zenon_H335 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_H340 zenon_H342 zenon_H3ba zenon_H3bb zenon_H3bc zenon_Ha3 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.81 apply (zenon_L1497_); trivial.
% 20.71/20.81 apply (zenon_L1901_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1902_ *)
% 20.71/20.81 assert (zenon_L1903_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H3ae zenon_H485 zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H5b zenon_H3ba zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H5 zenon_H435 zenon_H25e zenon_H273 zenon_H335 zenon_Hc0 zenon_H484.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.71/20.81 apply (zenon_L1856_); trivial.
% 20.71/20.81 apply (zenon_L1902_); trivial.
% 20.71/20.81 apply (zenon_L1867_); trivial.
% 20.71/20.81 apply (zenon_L1869_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1903_ *)
% 20.71/20.81 assert (zenon_L1904_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H48c zenon_H48a zenon_H1f1 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.81 apply (zenon_L571_); trivial.
% 20.71/20.81 apply (zenon_L1586_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1904_ *)
% 20.71/20.81 assert (zenon_L1905_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.81 apply (zenon_L1904_); trivial.
% 20.71/20.81 apply (zenon_L631_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1905_ *)
% 20.71/20.81 assert (zenon_L1906_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp33)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hdd zenon_H249 zenon_H1c5 zenon_H392 zenon_H398 zenon_H319.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.81 apply (zenon_L368_); trivial.
% 20.71/20.81 apply (zenon_L1905_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1906_ *)
% 20.71/20.81 assert (zenon_L1907_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp5)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H2e zenon_H40d zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_H3f3 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H93 zenon_Hc5 zenon_H33e zenon_H358 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H212 zenon_H215 zenon_H219 zenon_H132.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.81 apply (zenon_L1906_); trivial.
% 20.71/20.81 apply (zenon_L1890_); trivial.
% 20.71/20.81 (* end of lemma zenon_L1907_ *)
% 20.71/20.81 assert (zenon_L1908_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.71/20.81 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H132 zenon_H219 zenon_H46d zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.81 apply (zenon_L3_); trivial.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.81 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.81 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.81 apply (zenon_L1886_); trivial.
% 20.71/20.81 apply (zenon_L1907_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1908_ *)
% 20.71/20.82 assert (zenon_L1909_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp55)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H2e zenon_H40d zenon_H37 zenon_H39 zenon_H3b zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.82 apply (zenon_L550_); trivial.
% 20.71/20.82 apply (zenon_L589_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1909_ *)
% 20.71/20.82 assert (zenon_L1910_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c0_1 (a1071)) -> (c1_1 (a1071)) -> (c3_1 (a1071)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H4b zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H349 zenon_H35c zenon_H34a zenon_H590.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H590); [ zenon_intro zenon_H58c | zenon_intro zenon_H591 ].
% 20.71/20.82 exact (zenon_H58b zenon_H58c).
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H591); [ zenon_intro zenon_H23f | zenon_intro zenon_H58d ].
% 20.71/20.82 apply (zenon_L235_); trivial.
% 20.71/20.82 apply (zenon_L1082_); trivial.
% 20.71/20.82 apply (zenon_L237_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1910_ *)
% 20.71/20.82 assert (zenon_L1911_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (c3_1 (a1071)) -> (c1_1 (a1071)) -> (c0_1 (a1071)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp2)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H590 zenon_H34a zenon_H35c zenon_H349 zenon_H25e zenon_H256 zenon_H255 zenon_H58b zenon_H5b.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.82 apply (zenon_L1909_); trivial.
% 20.71/20.82 apply (zenon_L1910_); trivial.
% 20.71/20.82 apply (zenon_L33_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1911_ *)
% 20.71/20.82 assert (zenon_L1912_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp2)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H32b zenon_H32a zenon_H329 zenon_H342 zenon_H340 zenon_H5b zenon_H58b zenon_H255 zenon_H256 zenon_H25e zenon_H590 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H8c zenon_H8f zenon_H93.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.82 apply (zenon_L1911_); trivial.
% 20.71/20.82 apply (zenon_L690_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1912_ *)
% 20.71/20.82 assert (zenon_L1913_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp2)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H478 zenon_H387 zenon_H1cf zenon_H48c zenon_H48a zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H33e zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H590 zenon_H25e zenon_H256 zenon_H255 zenon_H58b zenon_H5b zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_Ha3 zenon_H358 zenon_H19e zenon_H212 zenon_H215 zenon_H219.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.71/20.82 apply (zenon_L715_); trivial.
% 20.71/20.82 apply (zenon_L1912_); trivial.
% 20.71/20.82 apply (zenon_L400_); trivial.
% 20.71/20.82 apply (zenon_L100_); trivial.
% 20.71/20.82 apply (zenon_L1860_); trivial.
% 20.71/20.82 apply (zenon_L631_); trivial.
% 20.71/20.82 apply (zenon_L721_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1913_ *)
% 20.71/20.82 assert (zenon_L1914_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp2)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H33e zenon_H590 zenon_H58b zenon_H358 zenon_H1cf zenon_H48c zenon_H48a zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H3f3 zenon_H212 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H249 zenon_Hdd zenon_H25e zenon_H256 zenon_H255 zenon_H5b zenon_H340 zenon_H342 zenon_Ha3 zenon_H19e zenon_H215 zenon_H46d zenon_H219.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.82 apply (zenon_L1909_); trivial.
% 20.71/20.82 apply (zenon_L238_); trivial.
% 20.71/20.82 apply (zenon_L33_); trivial.
% 20.71/20.82 apply (zenon_L690_); trivial.
% 20.71/20.82 apply (zenon_L1570_); trivial.
% 20.71/20.82 apply (zenon_L100_); trivial.
% 20.71/20.82 apply (zenon_L1860_); trivial.
% 20.71/20.82 apply (zenon_L1565_); trivial.
% 20.71/20.82 apply (zenon_L1913_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1914_ *)
% 20.71/20.82 assert (zenon_L1915_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp2)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp5)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H33e zenon_H590 zenon_H58b zenon_H358 zenon_H1cf zenon_H48c zenon_H48a zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H3f5 zenon_H157 zenon_H158 zenon_H156 zenon_H3f3 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H249 zenon_Hdd zenon_H25e zenon_H256 zenon_H255 zenon_H5b zenon_H340 zenon_H342 zenon_Ha3 zenon_H19e zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.82 apply (zenon_L1497_); trivial.
% 20.71/20.82 apply (zenon_L1914_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1915_ *)
% 20.71/20.82 assert (zenon_L1916_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H19e zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H39b zenon_H39a zenon_H12 zenon_H11 zenon_H10 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.82 apply (zenon_L1772_); trivial.
% 20.71/20.82 apply (zenon_L1905_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1916_ *)
% 20.71/20.82 assert (zenon_L1917_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H328 zenon_H47b zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H121 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.82 apply (zenon_L3_); trivial.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.82 apply (zenon_L1891_); trivial.
% 20.71/20.82 apply (zenon_L1916_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1917_ *)
% 20.71/20.82 assert (zenon_L1918_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> (~(hskp56)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hdc zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_Hd zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf0 ].
% 20.71/20.82 apply (zenon_L647_); trivial.
% 20.71/20.82 apply (zenon_L395_); trivial.
% 20.71/20.82 apply (zenon_L257_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1918_ *)
% 20.71/20.82 assert (zenon_L1919_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp58)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (~(c0_1 (a1081))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (~(hskp47)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1084)) -> (~(c3_1 (a1084))) -> (~(c1_1 (a1084))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H249 zenon_Hdd zenon_H265 zenon_H263 zenon_H25e zenon_H256 zenon_H255 zenon_H50 zenon_H4f zenon_H51 zenon_Hc zenon_H40d zenon_H340 zenon_H60 zenon_H342 zenon_H341 zenon_H24 zenon_H23 zenon_H25 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.71/20.82 apply (zenon_L1877_); trivial.
% 20.71/20.82 exact (zenon_Hdd zenon_Hde).
% 20.71/20.82 (* end of lemma zenon_L1919_ *)
% 20.71/20.82 assert (zenon_L1920_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H93 zenon_H8f zenon_H8c zenon_H78 zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H285 zenon_H5b.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.82 apply (zenon_L492_); trivial.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.82 apply (zenon_L1918_); trivial.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.82 apply (zenon_L1919_); trivial.
% 20.71/20.82 apply (zenon_L1844_); trivial.
% 20.71/20.82 apply (zenon_L33_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1920_ *)
% 20.71/20.82 assert (zenon_L1921_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.82 apply (zenon_L1920_); trivial.
% 20.71/20.82 apply (zenon_L690_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1921_ *)
% 20.71/20.82 assert (zenon_L1922_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp33)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_Hc5 zenon_Ha3 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_Hdd zenon_H249 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_Hae zenon_H2f9 zenon_H307 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H212 zenon_H3f3 zenon_H3b zenon_H39 zenon_H3f5 zenon_H2e zenon_H8c zenon_H8f zenon_H93 zenon_H1c5 zenon_H392 zenon_H398 zenon_H319.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.71/20.82 apply (zenon_L1921_); trivial.
% 20.71/20.82 apply (zenon_L367_); trivial.
% 20.71/20.82 apply (zenon_L400_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1922_ *)
% 20.71/20.82 assert (zenon_L1923_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.71/20.82 do 0 intro. intros zenon_H237 zenon_H387 zenon_H342 zenon_H341 zenon_H340 zenon_H39 zenon_H3b zenon_H265 zenon_H285 zenon_H5b zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H358.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.71/20.82 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.71/20.82 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.71/20.82 apply (zenon_L1786_); trivial.
% 20.71/20.82 apply (zenon_L721_); trivial.
% 20.71/20.82 (* end of lemma zenon_L1923_ *)
% 20.71/20.82 assert (zenon_L1924_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c0_1 (a1055))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H3ae zenon_H485 zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H5b zenon_H3ba zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H5 zenon_H435 zenon_H25e zenon_H273 zenon_H335 zenon_Hc0 zenon_H484.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.71/20.83 apply (zenon_L1856_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.83 apply (zenon_L1497_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_L1922_); trivial.
% 20.71/20.83 apply (zenon_L1862_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.71/20.83 apply (zenon_L1921_); trivial.
% 20.71/20.83 apply (zenon_L1751_); trivial.
% 20.71/20.83 apply (zenon_L749_); trivial.
% 20.71/20.83 apply (zenon_L1657_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_L1922_); trivial.
% 20.71/20.83 apply (zenon_L1864_); trivial.
% 20.71/20.83 apply (zenon_L1923_); trivial.
% 20.71/20.83 apply (zenon_L1867_); trivial.
% 20.71/20.83 apply (zenon_L1869_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1924_ *)
% 20.71/20.83 assert (zenon_L1925_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_L354_); trivial.
% 20.71/20.83 apply (zenon_L1887_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1925_ *)
% 20.71/20.83 assert (zenon_L1926_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H328 zenon_H47b zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H132 zenon_H219 zenon_H46d zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.83 apply (zenon_L3_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.83 apply (zenon_L1886_); trivial.
% 20.71/20.83 apply (zenon_L1925_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1926_ *)
% 20.71/20.83 assert (zenon_L1927_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1080))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H335 zenon_H273 zenon_H25e zenon_H436 zenon_H433 zenon_H435 zenon_H5 zenon_H6 zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H46d zenon_H219 zenon_H132 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H47b zenon_H328.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.83 apply (zenon_L1926_); trivial.
% 20.71/20.83 apply (zenon_L695_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1927_ *)
% 20.71/20.83 assert (zenon_L1928_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> (~(hskp33)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp36)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H219 zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H463 zenon_H19e zenon_H319 zenon_H398 zenon_H392 zenon_H1c5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H307 zenon_H2f9 zenon_Hae zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H249 zenon_Hdd zenon_H25e zenon_H256 zenon_H255 zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H212 zenon_H3f3 zenon_H3f5 zenon_H5b zenon_Ha3 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.83 apply (zenon_L706_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.83 apply (zenon_L1918_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.83 apply (zenon_L1919_); trivial.
% 20.71/20.83 apply (zenon_L1652_); trivial.
% 20.71/20.83 apply (zenon_L33_); trivial.
% 20.71/20.83 apply (zenon_L690_); trivial.
% 20.71/20.83 apply (zenon_L367_); trivial.
% 20.71/20.83 apply (zenon_L400_); trivial.
% 20.71/20.83 apply (zenon_L100_); trivial.
% 20.71/20.83 apply (zenon_L1860_); trivial.
% 20.71/20.83 apply (zenon_L1493_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1928_ *)
% 20.71/20.83 assert (zenon_L1929_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp55)) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> (~(hskp54)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> (~(hskp48)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H2e zenon_H40d zenon_H37 zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hfb zenon_H6c zenon_H60 zenon_H5e zenon_Hcc zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_Hdc zenon_Hae zenon_H2f6 zenon_H2f9 zenon_H307.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.83 apply (zenon_L1918_); trivial.
% 20.71/20.83 apply (zenon_L516_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1929_ *)
% 20.71/20.83 assert (zenon_L1930_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H219 zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H463 zenon_H19e zenon_H319 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H40d zenon_H39 zenon_H3b zenon_H156 zenon_H158 zenon_H157 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hfb zenon_H6c zenon_Hcc zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_Hdc zenon_Hae zenon_H2f9 zenon_H307 zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H3f3 zenon_H212 zenon_H165 zenon_H265 zenon_H249 zenon_Hdd zenon_H25e zenon_H256 zenon_H255 zenon_H340 zenon_H342 zenon_H341 zenon_H230 zenon_H22f zenon_H22e zenon_H5b zenon_Ha3 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.71/20.83 apply (zenon_L1929_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.71/20.83 apply (zenon_L1876_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.71/20.83 apply (zenon_L1919_); trivial.
% 20.71/20.83 apply (zenon_L1612_); trivial.
% 20.71/20.83 apply (zenon_L33_); trivial.
% 20.71/20.83 apply (zenon_L497_); trivial.
% 20.71/20.83 apply (zenon_L263_); trivial.
% 20.71/20.83 apply (zenon_L749_); trivial.
% 20.71/20.83 apply (zenon_L1654_); trivial.
% 20.71/20.83 apply (zenon_L713_); trivial.
% 20.71/20.83 apply (zenon_L1493_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1930_ *)
% 20.71/20.83 assert (zenon_L1931_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H481 zenon_H335 zenon_H273 zenon_H3ba zenon_H25e zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H46d zenon_H219 zenon_H132 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H47b zenon_H328.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.83 apply (zenon_L1926_); trivial.
% 20.71/20.83 apply (zenon_L1866_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1931_ *)
% 20.71/20.83 assert (zenon_L1932_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_L354_); trivial.
% 20.71/20.83 apply (zenon_L1848_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1932_ *)
% 20.71/20.83 assert (zenon_L1933_ : ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(hskp51)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H54a zenon_H544 zenon_H340 zenon_H341 zenon_H342 zenon_H4e9 zenon_Hc zenon_H4ef zenon_H4ed zenon_H4f0.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H545 | zenon_intro zenon_H54b ].
% 20.71/20.83 exact (zenon_H544 zenon_H545).
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H26c | zenon_intro zenon_H546 ].
% 20.71/20.83 apply (zenon_L1062_); trivial.
% 20.71/20.83 apply (zenon_L888_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1933_ *)
% 20.71/20.83 assert (zenon_L1934_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp51)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H500 zenon_H544 zenon_H54a zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.71/20.83 apply (zenon_L1933_); trivial.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.71/20.83 apply (zenon_L1058_); trivial.
% 20.71/20.83 apply (zenon_L1059_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1934_ *)
% 20.71/20.83 assert (zenon_L1935_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp51)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_Hc zenon_H544 zenon_H166 zenon_H500.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.71/20.83 apply (zenon_L1934_); trivial.
% 20.71/20.83 apply (zenon_L89_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1935_ *)
% 20.71/20.83 assert (zenon_L1936_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp51)) -> (ndr1_0) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_Ha3 zenon_H500 zenon_H166 zenon_H544 zenon_Hc zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.83 apply (zenon_L1935_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.71/20.83 apply (zenon_L1934_); trivial.
% 20.71/20.83 apply (zenon_L91_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1936_ *)
% 20.71/20.83 assert (zenon_L1937_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (ndr1_0) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_Hc zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_H161 zenon_H165 zenon_H560.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.71/20.83 apply (zenon_L1936_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.83 apply (zenon_L1832_); trivial.
% 20.71/20.83 apply (zenon_L1066_); trivial.
% 20.71/20.83 apply (zenon_L100_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1937_ *)
% 20.71/20.83 assert (zenon_L1938_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H48c zenon_H48a zenon_H1f1 zenon_H560 zenon_H165 zenon_H265 zenon_H125 zenon_H126 zenon_H127 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_Hc zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.71/20.83 apply (zenon_L1937_); trivial.
% 20.71/20.83 apply (zenon_L1586_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1938_ *)
% 20.71/20.83 assert (zenon_L1939_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H560 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.83 apply (zenon_L1938_); trivial.
% 20.71/20.83 apply (zenon_L1591_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1939_ *)
% 20.71/20.83 assert (zenon_L1940_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_H500 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H560 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H307 zenon_H2f9 zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_L354_); trivial.
% 20.71/20.83 apply (zenon_L1939_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1940_ *)
% 20.71/20.83 assert (zenon_L1941_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H560 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.83 apply (zenon_L1938_); trivial.
% 20.71/20.83 apply (zenon_L631_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1941_ *)
% 20.71/20.83 assert (zenon_L1942_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H325 zenon_H47b zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H500 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H132.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.71/20.83 apply (zenon_L1940_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.71/20.83 apply (zenon_L354_); trivial.
% 20.71/20.83 apply (zenon_L1941_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1942_ *)
% 20.71/20.83 assert (zenon_L1943_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H328 zenon_H47b zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H500 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.71/20.83 apply (zenon_L3_); trivial.
% 20.71/20.83 apply (zenon_L1942_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1943_ *)
% 20.71/20.83 assert (zenon_L1944_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H249 zenon_Hdd zenon_H328 zenon_H47b zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H54a zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H500 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H5 zenon_H2e zenon_H40d zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_Hc8 zenon_H33e zenon_H1dd zenon_H358 zenon_H5b zenon_H3b zenon_H39 zenon_H387 zenon_H335.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.71/20.83 apply (zenon_L1943_); trivial.
% 20.71/20.83 apply (zenon_L1896_); trivial.
% 20.71/20.83 apply (zenon_L223_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1944_ *)
% 20.71/20.83 assert (zenon_L1945_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H273 zenon_Hc8 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.71/20.83 apply (zenon_L1427_); trivial.
% 20.71/20.83 apply (zenon_L1378_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1945_ *)
% 20.71/20.83 assert (zenon_L1946_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H2e0 zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H273 zenon_Hc8 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.71/20.83 apply (zenon_L1427_); trivial.
% 20.71/20.83 apply (zenon_L1406_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1946_ *)
% 20.71/20.83 assert (zenon_L1947_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H23b zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H183 zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.83 apply (zenon_L216_); trivial.
% 20.71/20.83 apply (zenon_L1370_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1947_ *)
% 20.71/20.83 assert (zenon_L1948_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H48c zenon_H15f zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bb zenon_H2bc zenon_Hc zenon_H242 zenon_H240 zenon_H241 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H1f1 zenon_H48a.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.71/20.83 apply (zenon_L1356_); trivial.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.71/20.83 apply (zenon_L1015_); trivial.
% 20.71/20.83 exact (zenon_H15f zenon_H160).
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.71/20.83 exact (zenon_H1f1 zenon_H1f2).
% 20.71/20.83 exact (zenon_H48a zenon_H48b).
% 20.71/20.83 (* end of lemma zenon_L1948_ *)
% 20.71/20.83 assert (zenon_L1949_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (ndr1_0) -> (~(hskp42)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H166 zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H2bc zenon_H2bb zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H5cc zenon_H5cb zenon_H5ca zenon_Hc zenon_H1f1 zenon_H48a zenon_H48c.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.71/20.83 apply (zenon_L1948_); trivial.
% 20.71/20.83 apply (zenon_L89_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1949_ *)
% 20.71/20.83 assert (zenon_L1950_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H48a zenon_H48c zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.71/20.83 apply (zenon_L1382_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.71/20.83 apply (zenon_L1381_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.71/20.83 apply (zenon_L1949_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.71/20.83 apply (zenon_L1948_); trivial.
% 20.71/20.83 apply (zenon_L91_); trivial.
% 20.71/20.83 apply (zenon_L576_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1950_ *)
% 20.71/20.83 assert (zenon_L1951_ : ((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H290 zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H48c zenon_H48a zenon_H273 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.71/20.83 apply (zenon_L1950_); trivial.
% 20.71/20.83 apply (zenon_L1370_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1951_ *)
% 20.71/20.83 assert (zenon_L1952_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H2db zenon_H293 zenon_H23b zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H183 zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H2a6 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H273 zenon_H48a zenon_H48c zenon_H1ed zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec zenon_H2b9.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.71/20.83 apply (zenon_L1947_); trivial.
% 20.71/20.83 apply (zenon_L1387_); trivial.
% 20.71/20.83 apply (zenon_L1951_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1952_ *)
% 20.71/20.83 assert (zenon_L1953_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (ndr1_0) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H3af zenon_H2de zenon_H2b9 zenon_H48c zenon_H48a zenon_H212 zenon_H215 zenon_H219 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc zenon_Hc8 zenon_H273 zenon_H137 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2e0 zenon_H33 zenon_H31 zenon_H3b zenon_H5b zenon_Hc9 zenon_H293 zenon_H3b0.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.71/20.83 apply (zenon_L1945_); trivial.
% 20.71/20.83 apply (zenon_L1380_); trivial.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.71/20.83 apply (zenon_L1946_); trivial.
% 20.71/20.83 apply (zenon_L1952_); trivial.
% 20.71/20.83 apply (zenon_L1388_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1953_ *)
% 20.71/20.83 assert (zenon_L1954_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H3b0 zenon_H293 zenon_Hc9 zenon_H5b zenon_H3b zenon_H31 zenon_H33 zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H137 zenon_H273 zenon_Hc8 zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H219 zenon_H215 zenon_H212 zenon_H48c zenon_H2b9 zenon_H2de zenon_H3af.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.71/20.83 apply (zenon_L1953_); trivial.
% 20.71/20.83 apply (zenon_L730_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1954_ *)
% 20.71/20.83 assert (zenon_L1955_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> (c0_1 (a1048)) -> False).
% 20.71/20.83 do 0 intro. intros zenon_H11b zenon_H11c zenon_Hfc zenon_H5cb zenon_H5cc zenon_H5ca.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.71/20.83 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hfd | zenon_intro zenon_H11f ].
% 20.71/20.83 exact (zenon_Hfc zenon_Hfd).
% 20.71/20.83 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10b ].
% 20.71/20.83 apply (zenon_L60_); trivial.
% 20.71/20.83 apply (zenon_L1360_); trivial.
% 20.71/20.83 (* end of lemma zenon_L1955_ *)
% 20.71/20.83 assert (zenon_L1956_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> (c0_1 (a1048)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2df zenon_Ha3 zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_H8c zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H5cb zenon_H5cc zenon_H5ca zenon_H11c zenon_H121.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.84 apply (zenon_L58_); trivial.
% 20.75/20.84 apply (zenon_L1955_); trivial.
% 20.75/20.84 apply (zenon_L1374_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1956_ *)
% 20.75/20.84 assert (zenon_L1957_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c0_1 (a1048)) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp19)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H273 zenon_Hc8 zenon_H121 zenon_H11c zenon_H5ca zenon_H5cc zenon_H5cb zenon_Hfc zenon_Hfb zenon_Hf1 zenon_H8c zenon_Hdd zenon_Hcc zenon_Hf zenon_Hdc zenon_H1b zenon_H20 zenon_H2e zenon_H183 zenon_H8f zenon_H166 zenon_Ha3 zenon_H2df.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.75/20.84 apply (zenon_L1956_); trivial.
% 20.75/20.84 apply (zenon_L1378_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1957_ *)
% 20.75/20.84 assert (zenon_L1958_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.84 apply (zenon_L1379_); trivial.
% 20.75/20.84 apply (zenon_L223_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1958_ *)
% 20.75/20.84 assert (zenon_L1959_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp12)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> (c0_1 (a1048)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2de zenon_H2b9 zenon_H249 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H2df zenon_Ha3 zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_Hdd zenon_H8c zenon_Hf1 zenon_Hfb zenon_Hfc zenon_H5cb zenon_H5cc zenon_H5ca zenon_H11c zenon_H121 zenon_Hc8 zenon_H273 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1c7 zenon_H1c3 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2e0.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.84 apply (zenon_L1957_); trivial.
% 20.75/20.84 apply (zenon_L1958_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1959_ *)
% 20.75/20.84 assert (zenon_L1960_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2df zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H183 zenon_H328 zenon_H2e zenon_H20 zenon_H1d zenon_H1b zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.84 apply (zenon_L402_); trivial.
% 20.75/20.84 apply (zenon_L1374_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1960_ *)
% 20.75/20.84 assert (zenon_L1961_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp19)) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2e0 zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_Hc8 zenon_H335 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_Ha3 zenon_H5 zenon_H6 zenon_Hf zenon_H1b zenon_H20 zenon_H2e zenon_H328 zenon_H183 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H2df.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.75/20.84 apply (zenon_L1960_); trivial.
% 20.75/20.84 apply (zenon_L1406_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1961_ *)
% 20.75/20.84 assert (zenon_L1962_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H23b zenon_H1ec zenon_H1dd zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.84 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.84 apply (zenon_L1382_); trivial.
% 20.75/20.84 apply (zenon_L215_); trivial.
% 20.75/20.84 apply (zenon_L1370_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1962_ *)
% 20.75/20.84 assert (zenon_L1963_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1dd zenon_H1ec zenon_H23b.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.84 apply (zenon_L1962_); trivial.
% 20.75/20.84 apply (zenon_L223_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1963_ *)
% 20.75/20.84 assert (zenon_L1964_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H2b9 zenon_H249 zenon_Hdd zenon_H2a6 zenon_H2df zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H183 zenon_H328 zenon_H2e zenon_H20 zenon_Hf zenon_H6 zenon_H5 zenon_Ha3 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H335 zenon_Hc8 zenon_H1ed zenon_H1c7 zenon_H1c3 zenon_H149 zenon_H1dd zenon_H1ec zenon_H23b zenon_H2e0.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.84 apply (zenon_L1961_); trivial.
% 20.75/20.84 apply (zenon_L1963_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1964_ *)
% 20.75/20.84 assert (zenon_L1965_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c0_1 (a1048)) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H3b0 zenon_H328 zenon_H6 zenon_H5 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H335 zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_H138 zenon_H137 zenon_H273 zenon_Hc8 zenon_H121 zenon_H11c zenon_H5ca zenon_H5cc zenon_H5cb zenon_Hfc zenon_Hfb zenon_Hf1 zenon_H8c zenon_Hdd zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_H183 zenon_H8f zenon_H166 zenon_Ha3 zenon_H2df zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H249 zenon_H2b9 zenon_H2de.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.75/20.84 apply (zenon_L1959_); trivial.
% 20.75/20.84 apply (zenon_L1964_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1965_ *)
% 20.75/20.84 assert (zenon_L1966_ : ((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c0_1 (a1048)) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H4bd zenon_H4a5 zenon_H3b0 zenon_H328 zenon_H6 zenon_H5 zenon_H335 zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H1c7 zenon_H1ed zenon_H137 zenon_H273 zenon_Hc8 zenon_H121 zenon_H11c zenon_H5ca zenon_H5cc zenon_H5cb zenon_Hfc zenon_Hfb zenon_Hf1 zenon_H8c zenon_Hdd zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_H183 zenon_H8f zenon_H166 zenon_Ha3 zenon_H2df zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H249 zenon_H2b9 zenon_H2de zenon_H3af.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Hc. zenon_intro zenon_H4be.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H3ba. zenon_intro zenon_H4bf.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H3bb. zenon_intro zenon_H3bc.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.75/20.84 apply (zenon_L1965_); trivial.
% 20.75/20.84 apply (zenon_L1388_); trivial.
% 20.75/20.84 apply (zenon_L1413_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1966_ *)
% 20.75/20.84 assert (zenon_L1967_ : ((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H5d6 zenon_H4c0 zenon_H328 zenon_H6 zenon_H5 zenon_H335 zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hf1 zenon_Hdd zenon_Hcc zenon_Hf zenon_Hdc zenon_H2e zenon_H2df zenon_H249 zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H3b0 zenon_H293 zenon_Hc9 zenon_H5b zenon_H3b zenon_H33 zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H137 zenon_H273 zenon_Hc8 zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H219 zenon_H215 zenon_H212 zenon_H48c zenon_H2b9 zenon_H2de zenon_H3af zenon_H4a5.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_Hc. zenon_intro zenon_H5d7.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H5ca. zenon_intro zenon_H5d8.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H5cb. zenon_intro zenon_H5cc.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.75/20.84 apply (zenon_L1954_); trivial.
% 20.75/20.84 apply (zenon_L1413_); trivial.
% 20.75/20.84 apply (zenon_L1966_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1967_ *)
% 20.75/20.84 assert (zenon_L1968_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H500 zenon_Hff zenon_H100 zenon_H101 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H4ac zenon_H4aa zenon_H4ab zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.84 apply (zenon_L1451_); trivial.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.84 apply (zenon_L1158_); trivial.
% 20.75/20.84 apply (zenon_L1433_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1968_ *)
% 20.75/20.84 assert (zenon_L1969_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1cb zenon_H46d zenon_H463 zenon_H500 zenon_Hff zenon_H100 zenon_H101 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5eb zenon_H5ed.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.75/20.84 exact (zenon_H463 zenon_H464).
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.75/20.84 apply (zenon_L1429_); trivial.
% 20.75/20.84 apply (zenon_L1968_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1969_ *)
% 20.75/20.84 assert (zenon_L1970_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H11b zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.84 apply (zenon_L995_); trivial.
% 20.75/20.84 apply (zenon_L1969_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1970_ *)
% 20.75/20.84 assert (zenon_L1971_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1ce zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H463 zenon_Hc9 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H183 zenon_H2f zenon_H33 zenon_H19e zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.84 apply (zenon_L1449_); trivial.
% 20.75/20.84 apply (zenon_L1970_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1971_ *)
% 20.75/20.84 assert (zenon_L1972_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp40)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H13b zenon_H46d zenon_H1cf.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.84 apply (zenon_L1437_); trivial.
% 20.75/20.84 apply (zenon_L1971_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1972_ *)
% 20.75/20.84 assert (zenon_L1973_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.84 apply (zenon_L1972_); trivial.
% 20.75/20.84 apply (zenon_L1444_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1973_ *)
% 20.75/20.84 assert (zenon_L1974_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_H219 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.84 apply (zenon_L1973_); trivial.
% 20.75/20.84 apply (zenon_L1460_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1974_ *)
% 20.75/20.84 assert (zenon_L1975_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H23b zenon_H219 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.84 apply (zenon_L216_); trivial.
% 20.75/20.84 apply (zenon_L1974_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1975_ *)
% 20.75/20.84 assert (zenon_L1976_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H338 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.84 apply (zenon_L1972_); trivial.
% 20.75/20.84 apply (zenon_L1476_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1976_ *)
% 20.75/20.84 assert (zenon_L1977_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H338 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.84 apply (zenon_L1976_); trivial.
% 20.75/20.84 apply (zenon_L215_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1977_ *)
% 20.75/20.84 assert (zenon_L1978_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H237 zenon_H387 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H212 zenon_H215 zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.84 apply (zenon_L1977_); trivial.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.84 apply (zenon_L1973_); trivial.
% 20.75/20.84 apply (zenon_L813_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1978_ *)
% 20.75/20.84 assert (zenon_L1979_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H23b zenon_H387 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H212 zenon_H215 zenon_H1ec zenon_H358 zenon_H1dd zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.84 apply (zenon_L216_); trivial.
% 20.75/20.84 apply (zenon_L1978_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1979_ *)
% 20.75/20.84 assert (zenon_L1980_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H332 zenon_H47b zenon_H40d zenon_H275 zenon_H277 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H1dd zenon_H358 zenon_H1ec zenon_H215 zenon_H212 zenon_H273 zenon_H387 zenon_H23b.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.84 apply (zenon_L1979_); trivial.
% 20.75/20.84 apply (zenon_L1500_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1980_ *)
% 20.75/20.84 assert (zenon_L1981_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H335 zenon_H40d zenon_H275 zenon_H277 zenon_H33e zenon_H358 zenon_H273 zenon_H387 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H1dd zenon_H436 zenon_H433 zenon_H435 zenon_H47b zenon_H328.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.84 apply (zenon_L3_); trivial.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.84 apply (zenon_L1975_); trivial.
% 20.75/20.84 apply (zenon_L1468_); trivial.
% 20.75/20.84 apply (zenon_L1980_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1981_ *)
% 20.75/20.84 assert (zenon_L1982_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23c zenon_H1c8 zenon_H450 zenon_H452 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.84 apply (zenon_L3_); trivial.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.84 apply (zenon_L1975_); trivial.
% 20.75/20.84 apply (zenon_L1526_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1982_ *)
% 20.75/20.84 assert (zenon_L1983_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H481 zenon_H335 zenon_H40d zenon_H275 zenon_H277 zenon_H273 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H1c8 zenon_H23c zenon_H47b zenon_H328.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.84 apply (zenon_L1982_); trivial.
% 20.75/20.84 apply (zenon_L1980_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1983_ *)
% 20.75/20.84 assert (zenon_L1984_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1ed zenon_H1cf zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.84 apply (zenon_L226_); trivial.
% 20.75/20.84 apply (zenon_L1442_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1984_ *)
% 20.75/20.84 assert (zenon_L1985_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H1bc zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.84 apply (zenon_L1984_); trivial.
% 20.75/20.84 apply (zenon_L1444_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1985_ *)
% 20.75/20.84 assert (zenon_L1986_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H237 zenon_H23c zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.75/20.84 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.84 apply (zenon_L1985_); trivial.
% 20.75/20.84 apply (zenon_L215_); trivial.
% 20.75/20.84 apply (zenon_L1525_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1986_ *)
% 20.75/20.84 assert (zenon_L1987_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.75/20.84 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H1ec zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.84 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.84 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.84 apply (zenon_L1507_); trivial.
% 20.75/20.84 apply (zenon_L1986_); trivial.
% 20.75/20.84 (* end of lemma zenon_L1987_ *)
% 20.75/20.84 assert (zenon_L1988_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H325 zenon_H47b zenon_H23c zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1c8 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L1975_); trivial.
% 20.75/20.85 apply (zenon_L1987_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1988_ *)
% 20.75/20.85 assert (zenon_L1989_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23c zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1c8 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.85 apply (zenon_L3_); trivial.
% 20.75/20.85 apply (zenon_L1988_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1989_ *)
% 20.75/20.85 assert (zenon_L1990_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H1dd zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.85 apply (zenon_L216_); trivial.
% 20.75/20.85 apply (zenon_L1986_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1990_ *)
% 20.75/20.85 assert (zenon_L1991_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H1c8 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H23c zenon_H47b zenon_H328.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.85 apply (zenon_L1989_); trivial.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L1979_); trivial.
% 20.75/20.85 apply (zenon_L1990_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1991_ *)
% 20.75/20.85 assert (zenon_L1992_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H203 zenon_Hf1 zenon_H1ed zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1c7 zenon_H1c3 zenon_H2a6 zenon_H387 zenon_H56b zenon_H358 zenon_H1dd zenon_H33e zenon_H1c8 zenon_H23c zenon_H47b zenon_H328 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H293 zenon_H2e0.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.85 apply (zenon_L735_); trivial.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.85 apply (zenon_L1991_); trivial.
% 20.75/20.85 apply (zenon_L223_); trivial.
% 20.75/20.85 apply (zenon_L206_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1992_ *)
% 20.75/20.85 assert (zenon_L1993_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.85 apply (zenon_L1973_); trivial.
% 20.75/20.85 apply (zenon_L276_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1993_ *)
% 20.75/20.85 assert (zenon_L1994_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.85 apply (zenon_L251_); trivial.
% 20.75/20.85 apply (zenon_L1993_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1994_ *)
% 20.75/20.85 assert (zenon_L1995_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H93 zenon_H6c zenon_H40d zenon_H275 zenon_H277 zenon_Hc5 zenon_H33e zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8 zenon_H23b.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L1994_); trivial.
% 20.75/20.85 apply (zenon_L1552_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1995_ *)
% 20.75/20.85 assert (zenon_L1996_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H93 zenon_H6c zenon_H40d zenon_H275 zenon_H277 zenon_Hc5 zenon_H33e zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H1ec zenon_H1cf zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.85 apply (zenon_L1497_); trivial.
% 20.75/20.85 apply (zenon_L1995_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1996_ *)
% 20.75/20.85 assert (zenon_L1997_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_H215 zenon_H212 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H436 zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H1ed zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H149 zenon_H5ec zenon_H1cf zenon_H1ec zenon_H358 zenon_H33e zenon_H277 zenon_H275 zenon_H40d zenon_H387 zenon_H335.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.85 apply (zenon_L1546_); trivial.
% 20.75/20.85 apply (zenon_L1995_); trivial.
% 20.75/20.85 apply (zenon_L1996_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1997_ *)
% 20.75/20.85 assert (zenon_L1998_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_H219 zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hf1 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hc zenon_Hdd zenon_H249.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.85 apply (zenon_L252_); trivial.
% 20.75/20.85 apply (zenon_L1974_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1998_ *)
% 20.75/20.85 assert (zenon_L1999_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H23c zenon_H1eb zenon_H277 zenon_H275 zenon_H25e zenon_H273 zenon_H533 zenon_H535 zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H1c8 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_H33e zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H219 zenon_Hc8 zenon_H23b.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L1998_); trivial.
% 20.75/20.85 apply (zenon_L1560_); trivial.
% 20.75/20.85 (* end of lemma zenon_L1999_ *)
% 20.75/20.85 assert (zenon_L2000_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H23c zenon_H1eb zenon_H277 zenon_H275 zenon_H25e zenon_H273 zenon_H533 zenon_H535 zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H1c8 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_H33e zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H219 zenon_Hc8 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.85 apply (zenon_L3_); trivial.
% 20.75/20.85 apply (zenon_L1999_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2000_ *)
% 20.75/20.85 assert (zenon_L2001_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H60 zenon_H500 zenon_H22e zenon_H22f zenon_H230 zenon_H26c zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.85 apply (zenon_L939_); trivial.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.85 apply (zenon_L1158_); trivial.
% 20.75/20.85 apply (zenon_L1479_); trivial.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.85 exact (zenon_H60 zenon_H61).
% 20.75/20.85 apply (zenon_L1481_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2001_ *)
% 20.75/20.85 assert (zenon_L2002_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25)))))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H277 zenon_H20f zenon_H5ec zenon_H5ed zenon_H5eb zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H500 zenon_H60 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H275.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.85 apply (zenon_L1478_); trivial.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.85 apply (zenon_L2001_); trivial.
% 20.75/20.85 exact (zenon_H275 zenon_H276).
% 20.75/20.85 (* end of lemma zenon_L2002_ *)
% 20.75/20.85 assert (zenon_L2003_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp4)) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H215 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H275 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H60 zenon_H500 zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec zenon_H277 zenon_H212.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 20.75/20.85 apply (zenon_L583_); trivial.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 20.75/20.85 apply (zenon_L2002_); trivial.
% 20.75/20.85 exact (zenon_H212 zenon_H213).
% 20.75/20.85 (* end of lemma zenon_L2003_ *)
% 20.75/20.85 assert (zenon_L2004_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.85 apply (zenon_L2003_); trivial.
% 20.75/20.85 apply (zenon_L311_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2004_ *)
% 20.75/20.85 assert (zenon_L2005_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H1cf zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H212 zenon_H215 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.85 apply (zenon_L995_); trivial.
% 20.75/20.85 apply (zenon_L2004_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2005_ *)
% 20.75/20.85 assert (zenon_L2006_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H215 zenon_H212 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H1cf zenon_H219.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.85 apply (zenon_L2005_); trivial.
% 20.75/20.85 apply (zenon_L1466_); trivial.
% 20.75/20.85 apply (zenon_L631_); trivial.
% 20.75/20.85 apply (zenon_L1520_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2006_ *)
% 20.75/20.85 assert (zenon_L2007_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hc8 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H215 zenon_H212 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc5 zenon_H1cf zenon_H219 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.85 apply (zenon_L252_); trivial.
% 20.75/20.85 apply (zenon_L2006_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2007_ *)
% 20.75/20.85 assert (zenon_L2008_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1dd zenon_H40d zenon_H275 zenon_H277 zenon_H156 zenon_H158 zenon_H157 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hf1 zenon_H203 zenon_Hc5 zenon_H219 zenon_Hc8 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.85 apply (zenon_L3_); trivial.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L1998_); trivial.
% 20.75/20.85 apply (zenon_L2007_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2008_ *)
% 20.75/20.85 assert (zenon_L2009_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H23b zenon_H387 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H212 zenon_H215 zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.85 apply (zenon_L251_); trivial.
% 20.75/20.85 apply (zenon_L1978_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2009_ *)
% 20.75/20.85 assert (zenon_L2010_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H332 zenon_H47b zenon_H435 zenon_H433 zenon_H436 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H215 zenon_H212 zenon_H273 zenon_H387 zenon_H23b.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L2009_); trivial.
% 20.75/20.85 apply (zenon_L1468_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2010_ *)
% 20.75/20.85 assert (zenon_L2011_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H47c zenon_H335 zenon_H40d zenon_H275 zenon_H277 zenon_H5b zenon_H39 zenon_H3b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H149 zenon_H1cf zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H273 zenon_H387 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.85 apply (zenon_L1497_); trivial.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.85 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.85 apply (zenon_L2009_); trivial.
% 20.75/20.85 apply (zenon_L1500_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2011_ *)
% 20.75/20.85 assert (zenon_L2012_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H485 zenon_H40d zenon_H275 zenon_H277 zenon_H5b zenon_H39 zenon_H3b zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H436 zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H387 zenon_H273 zenon_H212 zenon_H215 zenon_H1ec zenon_H358 zenon_H33e zenon_H1cf zenon_H5ec zenon_H149 zenon_Hc9 zenon_H165 zenon_H166 zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H1ed zenon_H335.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.85 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.85 apply (zenon_L1578_); trivial.
% 20.75/20.85 apply (zenon_L2010_); trivial.
% 20.75/20.85 apply (zenon_L2011_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2012_ *)
% 20.75/20.85 assert (zenon_L2013_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H5b zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H1bc zenon_H1c8 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H285 zenon_H39 zenon_H3b zenon_H1cf.
% 20.75/20.85 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.85 apply (zenon_L1519_); trivial.
% 20.75/20.85 apply (zenon_L813_); trivial.
% 20.75/20.85 (* end of lemma zenon_L2013_ *)
% 20.75/20.85 assert (zenon_L2014_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.75/20.85 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H1cf zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H1c8 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_H6c zenon_H93 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_Hc8 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.86 apply (zenon_L1498_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.75/20.86 apply (zenon_L2013_); trivial.
% 20.75/20.86 apply (zenon_L1525_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2014_ *)
% 20.75/20.86 assert (zenon_L2015_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H23c zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H1cf zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H1c8 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H5b zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_H6c zenon_H93 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_Hc8 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.86 apply (zenon_L251_); trivial.
% 20.75/20.86 apply (zenon_L2014_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2015_ *)
% 20.75/20.86 assert (zenon_L2016_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23c zenon_H3b zenon_H39 zenon_H285 zenon_H265 zenon_H1c8 zenon_H450 zenon_H452 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H215 zenon_H212 zenon_H273 zenon_H387 zenon_H23b.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.86 apply (zenon_L2009_); trivial.
% 20.75/20.86 apply (zenon_L2015_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2016_ *)
% 20.75/20.86 assert (zenon_L2017_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H481 zenon_H335 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H273 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H1c8 zenon_H23c zenon_H47b zenon_H328.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L1982_); trivial.
% 20.75/20.86 apply (zenon_L2016_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2017_ *)
% 20.75/20.86 assert (zenon_L2018_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H325 zenon_H47b zenon_H40d zenon_H275 zenon_H277 zenon_H156 zenon_H158 zenon_H157 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.86 apply (zenon_L1975_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.86 apply (zenon_L1507_); trivial.
% 20.75/20.86 apply (zenon_L2006_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2018_ *)
% 20.75/20.86 assert (zenon_L2019_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H328 zenon_H47b zenon_H40d zenon_H275 zenon_H277 zenon_H156 zenon_H158 zenon_H157 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.86 apply (zenon_L3_); trivial.
% 20.75/20.86 apply (zenon_L2018_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2019_ *)
% 20.75/20.86 assert (zenon_L2020_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H23a zenon_H2b9 zenon_H249 zenon_H328 zenon_H47b zenon_H40d zenon_H275 zenon_H277 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H273 zenon_H335.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L2019_); trivial.
% 20.75/20.86 apply (zenon_L1980_); trivial.
% 20.75/20.86 apply (zenon_L223_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2020_ *)
% 20.75/20.86 assert (zenon_L2021_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.86 apply (zenon_L1286_); trivial.
% 20.75/20.86 apply (zenon_L1591_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2021_ *)
% 20.75/20.86 assert (zenon_L2022_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H478 zenon_H219 zenon_H215 zenon_H212 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.86 apply (zenon_L1286_); trivial.
% 20.75/20.86 apply (zenon_L631_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2022_ *)
% 20.75/20.86 assert (zenon_L2023_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H325 zenon_H47b zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.86 apply (zenon_L2021_); trivial.
% 20.75/20.86 apply (zenon_L2022_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2023_ *)
% 20.75/20.86 assert (zenon_L2024_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H328 zenon_H47b zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.86 apply (zenon_L3_); trivial.
% 20.75/20.86 apply (zenon_L2023_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2024_ *)
% 20.75/20.86 assert (zenon_L2025_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H332 zenon_H121 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H342 zenon_H340 zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.86 apply (zenon_L1197_); trivial.
% 20.75/20.86 apply (zenon_L694_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2025_ *)
% 20.75/20.86 assert (zenon_L2026_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H2d8 zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H203 zenon_H121 zenon_H47b zenon_H328.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L2024_); trivial.
% 20.75/20.86 apply (zenon_L2025_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2026_ *)
% 20.75/20.86 assert (zenon_L2027_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H2e0 zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H203 zenon_H121 zenon_H47b zenon_H328 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.75/20.86 apply (zenon_L732_); trivial.
% 20.75/20.86 apply (zenon_L2026_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2027_ *)
% 20.75/20.86 assert (zenon_L2028_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H1f zenon_H40d zenon_H5ed zenon_H5eb zenon_H5ec zenon_H342 zenon_H341 zenon_H500 zenon_H60 zenon_H49a zenon_H499 zenon_H49b.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.86 apply (zenon_L1840_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.86 exact (zenon_H60 zenon_H61).
% 20.75/20.86 apply (zenon_L1256_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2028_ *)
% 20.75/20.86 assert (zenon_L2029_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H93 zenon_H8c zenon_Hff zenon_H101 zenon_H100 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.86 apply (zenon_L396_); trivial.
% 20.75/20.86 apply (zenon_L2028_); trivial.
% 20.75/20.86 apply (zenon_L1199_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2029_ *)
% 20.75/20.86 assert (zenon_L2030_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (c0_1 (a1036)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H500 zenon_H340 zenon_H341 zenon_H342 zenon_H26c zenon_H5ec zenon_H469 zenon_Hc zenon_H5eb zenon_H5ed.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.86 apply (zenon_L1062_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.86 apply (zenon_L1431_); trivial.
% 20.75/20.86 apply (zenon_L1433_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2030_ *)
% 20.75/20.86 assert (zenon_L2031_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> (c2_1 (a1056)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))) -> (c0_1 (a1036)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H277 zenon_Ha5 zenon_Ha7 zenon_Ha6 zenon_H8c zenon_H5ed zenon_H5eb zenon_Hc zenon_H469 zenon_H5ec zenon_H342 zenon_H341 zenon_H340 zenon_H500 zenon_H275.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.86 apply (zenon_L201_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.86 apply (zenon_L2030_); trivial.
% 20.75/20.86 exact (zenon_H275 zenon_H276).
% 20.75/20.86 (* end of lemma zenon_L2031_ *)
% 20.75/20.86 assert (zenon_L2032_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c0_1 (a1051)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> False).
% 20.75/20.86 do 0 intro. intros zenon_Hbf zenon_H46d zenon_H463 zenon_H1af zenon_H1b7 zenon_H1ad zenon_H277 zenon_H8c zenon_H5ed zenon_H5eb zenon_H5ec zenon_H342 zenon_H341 zenon_H340 zenon_H500 zenon_H275.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H46d); [ zenon_intro zenon_H464 | zenon_intro zenon_H46e ].
% 20.75/20.86 exact (zenon_H463 zenon_H464).
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H46e); [ zenon_intro zenon_H465 | zenon_intro zenon_H469 ].
% 20.75/20.86 apply (zenon_L1429_); trivial.
% 20.75/20.86 apply (zenon_L2031_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2032_ *)
% 20.75/20.86 assert (zenon_L2033_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp31)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H11b zenon_H1cf zenon_Hc5 zenon_H46d zenon_H275 zenon_H277 zenon_H463 zenon_H2e zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H2f zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.86 apply (zenon_L1314_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.86 apply (zenon_L2029_); trivial.
% 20.75/20.86 apply (zenon_L2032_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2033_ *)
% 20.75/20.86 assert (zenon_L2034_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H37c zenon_H121 zenon_Ha3 zenon_H166 zenon_H341 zenon_H8c zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H8f zenon_H183 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.86 apply (zenon_L1197_); trivial.
% 20.75/20.86 apply (zenon_L327_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2034_ *)
% 20.75/20.86 assert (zenon_L2035_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H478 zenon_H387 zenon_H121 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H183 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.86 apply (zenon_L1505_); trivial.
% 20.75/20.86 apply (zenon_L2034_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2035_ *)
% 20.75/20.86 assert (zenon_L2036_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1083)) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (~(c1_1 (a1083))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H156 zenon_H403 zenon_H158.
% 20.75/20.86 generalize (zenon_H4e9 (a1083)). zenon_intro zenon_H525.
% 20.75/20.86 apply (zenon_imply_s _ _ zenon_H525); [ zenon_intro zenon_Hb | zenon_intro zenon_H526 ].
% 20.75/20.86 exact (zenon_Hb zenon_Hc).
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H15c | zenon_intro zenon_H527 ].
% 20.75/20.86 exact (zenon_H15c zenon_H156).
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H1fe | zenon_intro zenon_H15d ].
% 20.75/20.86 apply (zenon_L512_); trivial.
% 20.75/20.86 exact (zenon_H158 zenon_H15d).
% 20.75/20.86 (* end of lemma zenon_L2036_ *)
% 20.75/20.86 assert (zenon_L2037_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H500 zenon_H158 zenon_H156 zenon_H403 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.86 apply (zenon_L2036_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.86 apply (zenon_L1431_); trivial.
% 20.75/20.86 apply (zenon_L1479_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2037_ *)
% 20.75/20.86 assert (zenon_L2038_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (ndr1_0) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H40d zenon_H5ed zenon_H5eb zenon_H5ec zenon_H156 zenon_H158 zenon_H500 zenon_H60 zenon_Hc zenon_H49a zenon_H499 zenon_H49b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.86 apply (zenon_L2037_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.86 exact (zenon_H60 zenon_H61).
% 20.75/20.86 apply (zenon_L1256_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2038_ *)
% 20.75/20.86 assert (zenon_L2039_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H11b zenon_H1cf zenon_Hc5 zenon_H46d zenon_H275 zenon_H277 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H2f zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.86 apply (zenon_L1314_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.86 apply (zenon_L2038_); trivial.
% 20.75/20.86 apply (zenon_L2032_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2039_ *)
% 20.75/20.86 assert (zenon_L2040_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H2df zenon_H275 zenon_H277 zenon_H2e zenon_H40d zenon_Hdc zenon_Hf zenon_Hcc zenon_Hfb zenon_H4aa zenon_H4ab zenon_H4ac zenon_H59f zenon_H5a1 zenon_H2e0 zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_Hc8 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H6c zenon_H121 zenon_H1cf zenon_H203 zenon_H48c zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H215 zenon_H212 zenon_H500 zenon_H46d zenon_H219 zenon_H47b zenon_H328 zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20 zenon_H2a6 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H23b zenon_H249 zenon_H2b9 zenon_H2de.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.75/20.86 apply (zenon_L1610_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.86 apply (zenon_L2027_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L2024_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.86 apply (zenon_L1197_); trivial.
% 20.75/20.86 apply (zenon_L2033_); trivial.
% 20.75/20.86 apply (zenon_L215_); trivial.
% 20.75/20.86 apply (zenon_L2035_); trivial.
% 20.75/20.86 apply (zenon_L223_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L2024_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.86 apply (zenon_L1197_); trivial.
% 20.75/20.86 apply (zenon_L2039_); trivial.
% 20.75/20.86 apply (zenon_L215_); trivial.
% 20.75/20.86 apply (zenon_L2035_); trivial.
% 20.75/20.86 apply (zenon_L223_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2040_ *)
% 20.75/20.86 assert (zenon_L2041_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H4a5 zenon_H4a6 zenon_Hdc zenon_Hcc zenon_Hfb zenon_H48c zenon_H3b0 zenon_H2e0 zenon_H293 zenon_Hc8 zenon_Hc5 zenon_Hc0 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H137 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H1eb zenon_H132 zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20 zenon_H2b9 zenon_H485 zenon_H328 zenon_H47b zenon_H435 zenon_H1dd zenon_H2a6 zenon_H1c7 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H1ed zenon_Hf1 zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H387 zenon_H358 zenon_H33e zenon_H40d zenon_H335 zenon_H23c zenon_H1c8 zenon_H56b zenon_H484 zenon_H2de zenon_Hf zenon_H2e zenon_H533 zenon_H535 zenon_H2df zenon_H3af.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.86 apply (zenon_L733_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.86 apply (zenon_L1981_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L1497_); trivial.
% 20.75/20.86 apply (zenon_L1980_); trivial.
% 20.75/20.86 apply (zenon_L1983_); trivial.
% 20.75/20.86 apply (zenon_L223_); trivial.
% 20.75/20.86 apply (zenon_L206_); trivial.
% 20.75/20.86 apply (zenon_L1992_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.75/20.86 apply (zenon_L1427_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.86 apply (zenon_L1997_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L2000_); trivial.
% 20.75/20.86 apply (zenon_L1995_); trivial.
% 20.75/20.86 apply (zenon_L223_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.86 apply (zenon_L2008_); trivial.
% 20.75/20.86 apply (zenon_L1995_); trivial.
% 20.75/20.86 apply (zenon_L206_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.86 apply (zenon_L2012_); trivial.
% 20.75/20.86 apply (zenon_L2017_); trivial.
% 20.75/20.86 apply (zenon_L223_); trivial.
% 20.75/20.86 apply (zenon_L2020_); trivial.
% 20.75/20.86 apply (zenon_L206_); trivial.
% 20.75/20.86 apply (zenon_L2040_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2041_ *)
% 20.75/20.86 assert (zenon_L2042_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H500 zenon_H157 zenon_H158 zenon_H156 zenon_H26c zenon_H4ac zenon_H4aa zenon_H4ab zenon_H3f7 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.86 apply (zenon_L846_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.86 apply (zenon_L1158_); trivial.
% 20.75/20.86 apply (zenon_L1447_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2042_ *)
% 20.75/20.86 assert (zenon_L2043_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H277 zenon_H27b zenon_H27a zenon_H279 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H3f7 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H157 zenon_H500 zenon_H275.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.86 apply (zenon_L181_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.86 apply (zenon_L2042_); trivial.
% 20.75/20.86 exact (zenon_H275 zenon_H276).
% 20.75/20.86 (* end of lemma zenon_L2043_ *)
% 20.75/20.86 assert (zenon_L2044_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp13)) -> (~(hskp43)) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H282 zenon_H5a1 zenon_H275 zenon_H500 zenon_H157 zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5ec zenon_H5eb zenon_H5ed zenon_H277 zenon_H59f zenon_Hee.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H5a2 ].
% 20.75/20.86 apply (zenon_L2043_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_H5a0 | zenon_intro zenon_Hef ].
% 20.75/20.86 exact (zenon_H59f zenon_H5a0).
% 20.75/20.86 exact (zenon_Hee zenon_Hef).
% 20.75/20.86 (* end of lemma zenon_L2044_ *)
% 20.75/20.86 assert (zenon_L2045_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H463 zenon_H165 zenon_H19e zenon_Hc5 zenon_Ha3 zenon_H5b zenon_H285 zenon_H5a1 zenon_H59f zenon_H212 zenon_H3f3 zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H3f5 zenon_H183 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H308 zenon_H166 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H157 zenon_H158 zenon_H156 zenon_H3b zenon_H39 zenon_H40d zenon_H2e zenon_H93 zenon_H319 zenon_H121.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.75/20.86 apply (zenon_L517_); trivial.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H213 | zenon_intro zenon_H3f6 ].
% 20.75/20.86 exact (zenon_H212 zenon_H213).
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H3f7 ].
% 20.75/20.86 exact (zenon_H3f3 zenon_H3f4).
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.86 apply (zenon_L174_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.86 apply (zenon_L2042_); trivial.
% 20.75/20.86 exact (zenon_H275 zenon_H276).
% 20.75/20.86 exact (zenon_Hdd zenon_Hde).
% 20.75/20.86 apply (zenon_L2044_); trivial.
% 20.75/20.86 apply (zenon_L1653_); trivial.
% 20.75/20.86 apply (zenon_L497_); trivial.
% 20.75/20.86 apply (zenon_L263_); trivial.
% 20.75/20.86 apply (zenon_L1570_); trivial.
% 20.75/20.86 apply (zenon_L620_); trivial.
% 20.75/20.86 apply (zenon_L1657_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2045_ *)
% 20.75/20.86 assert (zenon_L2046_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H282 zenon_H277 zenon_H5ec zenon_H5ed zenon_H5eb zenon_H230 zenon_H22f zenon_H22e zenon_H500 zenon_H60 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H275.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.86 apply (zenon_L181_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.86 apply (zenon_L2001_); trivial.
% 20.75/20.86 exact (zenon_H275 zenon_H276).
% 20.75/20.86 (* end of lemma zenon_L2046_ *)
% 20.75/20.86 assert (zenon_L2047_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H285 zenon_H165 zenon_H163 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H60 zenon_H230 zenon_H22f zenon_H22e zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.86 apply (zenon_L567_); trivial.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.86 apply (zenon_L2001_); trivial.
% 20.75/20.86 exact (zenon_H275 zenon_H276).
% 20.75/20.86 apply (zenon_L2046_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2047_ *)
% 20.75/20.86 assert (zenon_L2048_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H285 zenon_H165 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.75/20.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.86 apply (zenon_L2047_); trivial.
% 20.75/20.86 apply (zenon_L214_); trivial.
% 20.75/20.86 apply (zenon_L994_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2048_ *)
% 20.75/20.86 assert (zenon_L2049_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1055))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H1bc zenon_H1c8 zenon_H3ba zenon_H450 zenon_H452 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.86 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.86 apply (zenon_L2048_); trivial.
% 20.75/20.86 apply (zenon_L1695_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2049_ *)
% 20.75/20.86 assert (zenon_L2050_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1055))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.75/20.86 do 0 intro. intros zenon_H132 zenon_H1cf zenon_H1bc zenon_H1c8 zenon_H3ba zenon_H450 zenon_H452 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.75/20.86 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.86 apply (zenon_L217_); trivial.
% 20.75/20.86 apply (zenon_L2049_); trivial.
% 20.75/20.86 (* end of lemma zenon_L2050_ *)
% 20.75/20.86 assert (zenon_L2051_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c0_1 (a1055))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H273 zenon_H1eb zenon_H2ab zenon_H275 zenon_H19e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_H183 zenon_H423 zenon_H166 zenon_H452 zenon_H450 zenon_H3ba zenon_H1c8 zenon_H1cf zenon_H132 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.87 apply (zenon_L1507_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.75/20.87 apply (zenon_L2050_); trivial.
% 20.75/20.87 apply (zenon_L1777_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2051_ *)
% 20.75/20.87 assert (zenon_L2052_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H23b zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H2e zenon_H46d zenon_H1dd zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1eb zenon_H2ab zenon_H275 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H165 zenon_H265 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_H29e zenon_H2a6 zenon_H183 zenon_H166 zenon_H452 zenon_H450 zenon_H1c8 zenon_H1cf zenon_H132 zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.87 apply (zenon_L1111_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.75/20.87 apply (zenon_L2050_); trivial.
% 20.75/20.87 apply (zenon_L1728_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2052_ *)
% 20.75/20.87 assert (zenon_L2053_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H237 zenon_H387 zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H285 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H358.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.87 apply (zenon_L1786_); trivial.
% 20.75/20.87 apply (zenon_L611_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2053_ *)
% 20.75/20.87 assert (zenon_L2054_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H285 zenon_H33e zenon_H183 zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.87 apply (zenon_L1111_); trivial.
% 20.75/20.87 apply (zenon_L2053_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2054_ *)
% 20.75/20.87 assert (zenon_L2055_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H451 zenon_Hc0 zenon_H33e zenon_H358 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H423 zenon_H40d zenon_H132 zenon_H1cf zenon_H1c8 zenon_H450 zenon_H452 zenon_H166 zenon_H183 zenon_H2a6 zenon_H29e zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H1eb zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H46d zenon_H2e zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H23b.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.87 apply (zenon_L2052_); trivial.
% 20.75/20.87 apply (zenon_L2054_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2055_ *)
% 20.75/20.87 assert (zenon_L2056_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H2ab zenon_H121 zenon_H19e zenon_H165 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H423 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H5a1 zenon_H59f zenon_H5b0 zenon_H132 zenon_Hc8 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H1eb zenon_H219 zenon_H46d zenon_H265 zenon_H203 zenon_H56b zenon_H285 zenon_H212 zenon_H215 zenon_H387 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H47b zenon_H328.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.87 apply (zenon_L3_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.87 apply (zenon_L1719_); trivial.
% 20.75/20.87 apply (zenon_L2051_); trivial.
% 20.75/20.87 apply (zenon_L2055_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2056_ *)
% 20.75/20.87 assert (zenon_L2057_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H2b9 zenon_H249 zenon_H485 zenon_H132 zenon_H1cf zenon_H165 zenon_H19e zenon_H2ab zenon_H328 zenon_H47b zenon_H387 zenon_H215 zenon_H212 zenon_H285 zenon_H56b zenon_H203 zenon_H265 zenon_H46d zenon_H219 zenon_H1eb zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_H33e zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc8 zenon_H121 zenon_H435 zenon_H23b zenon_H6 zenon_H5 zenon_H423 zenon_H335 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5b0 zenon_H59f zenon_H5a1 zenon_H1c8 zenon_H166 zenon_H183 zenon_Hdd zenon_Hf1 zenon_H533 zenon_H535 zenon_H23c zenon_Hc0 zenon_H484.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.87 apply (zenon_L1687_); trivial.
% 20.75/20.87 apply (zenon_L2056_); trivial.
% 20.75/20.87 apply (zenon_L223_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2057_ *)
% 20.75/20.87 assert (zenon_L2058_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H500 zenon_H157 zenon_H158 zenon_H156 zenon_H26c zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40a zenon_Hc zenon_H5eb zenon_H5ed zenon_H5ec.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.87 apply (zenon_L846_); trivial.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.87 apply (zenon_L1158_); trivial.
% 20.75/20.87 apply (zenon_L1480_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2058_ *)
% 20.75/20.87 assert (zenon_L2059_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp45)) -> (~(hskp44)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp58)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H277 zenon_H163 zenon_H161 zenon_H265 zenon_H127 zenon_H126 zenon_H125 zenon_H3bc zenon_H3bb zenon_H263 zenon_H165 zenon_H5ec zenon_H5ed zenon_H5eb zenon_Hc zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H157 zenon_H500 zenon_H60 zenon_H40d zenon_H275.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.87 apply (zenon_L567_); trivial.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.87 apply (zenon_L2037_); trivial.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.87 exact (zenon_H60 zenon_H61).
% 20.75/20.87 apply (zenon_L2058_); trivial.
% 20.75/20.87 exact (zenon_H275 zenon_H276).
% 20.75/20.87 (* end of lemma zenon_L2059_ *)
% 20.75/20.87 assert (zenon_L2060_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H165 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H8c zenon_Hc5.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.87 apply (zenon_L2059_); trivial.
% 20.75/20.87 apply (zenon_L427_); trivial.
% 20.75/20.87 apply (zenon_L400_); trivial.
% 20.75/20.87 apply (zenon_L100_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2060_ *)
% 20.75/20.87 assert (zenon_L2061_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.87 apply (zenon_L2060_); trivial.
% 20.75/20.87 apply (zenon_L1660_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2061_ *)
% 20.75/20.87 assert (zenon_L2062_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.87 apply (zenon_L1111_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.87 apply (zenon_L217_); trivial.
% 20.75/20.87 apply (zenon_L2061_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2062_ *)
% 20.75/20.87 assert (zenon_L2063_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_H132 zenon_H1cf zenon_H277 zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.87 apply (zenon_L1497_); trivial.
% 20.75/20.87 apply (zenon_L2062_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2063_ *)
% 20.75/20.87 assert (zenon_L2064_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H2ab zenon_H275 zenon_H19e zenon_H285 zenon_H165 zenon_H265 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H277 zenon_H1cf zenon_H132 zenon_H23b zenon_H335.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.87 apply (zenon_L1804_); trivial.
% 20.75/20.87 apply (zenon_L2062_); trivial.
% 20.75/20.87 apply (zenon_L2063_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2064_ *)
% 20.75/20.87 assert (zenon_L2065_ : ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H1c7 zenon_H5ec zenon_H5ed zenon_H5eb zenon_Hc zenon_H40a zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.87 apply (zenon_L778_); trivial.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.87 apply (zenon_L1158_); trivial.
% 20.75/20.87 apply (zenon_L1480_); trivial.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.75/20.87 exact (zenon_H1c3 zenon_H1c4).
% 20.75/20.87 exact (zenon_H1c5 zenon_H1c6).
% 20.75/20.87 (* end of lemma zenon_L2065_ *)
% 20.75/20.87 assert (zenon_L2066_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H1f zenon_H40d zenon_H60 zenon_H1c7 zenon_H5ec zenon_H5ed zenon_H5eb zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H500 zenon_H1c3 zenon_H1c5.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.87 apply (zenon_L1668_); trivial.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.87 exact (zenon_H60 zenon_H61).
% 20.75/20.87 apply (zenon_L2065_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2066_ *)
% 20.75/20.87 assert (zenon_L2067_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp53)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H93 zenon_H8c zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H78 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H163 zenon_H161 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H60 zenon_H6c zenon_Hfb zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H1a0 zenon_H1a2 zenon_H1be zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.87 apply (zenon_L446_); trivial.
% 20.75/20.87 apply (zenon_L2066_); trivial.
% 20.75/20.87 apply (zenon_L33_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2067_ *)
% 20.75/20.87 assert (zenon_L2068_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H273 zenon_H3ba zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H463 zenon_H46d zenon_H1cf zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.87 apply (zenon_L77_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.87 apply (zenon_L2067_); trivial.
% 20.75/20.87 apply (zenon_L308_); trivial.
% 20.75/20.87 apply (zenon_L417_); trivial.
% 20.75/20.87 apply (zenon_L100_); trivial.
% 20.75/20.87 apply (zenon_L1734_); trivial.
% 20.75/20.87 apply (zenon_L1673_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2068_ *)
% 20.75/20.87 assert (zenon_L2069_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp45)) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(hskp47)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H285 zenon_H8f zenon_H78 zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H273 zenon_H165 zenon_H163 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H60 zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.87 apply (zenon_L2059_); trivial.
% 20.75/20.87 apply (zenon_L445_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2069_ *)
% 20.75/20.87 assert (zenon_L2070_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp47)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H359 zenon_Ha3 zenon_H183 zenon_H8c zenon_H166 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H60 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H161 zenon_H163 zenon_H165 zenon_H273 zenon_H3ba zenon_H140 zenon_H141 zenon_H142 zenon_H8f zenon_H285.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.87 apply (zenon_L2069_); trivial.
% 20.75/20.87 apply (zenon_L430_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2070_ *)
% 20.75/20.87 assert (zenon_L2071_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H215 zenon_H212 zenon_Hc5 zenon_H33e zenon_H338 zenon_H285 zenon_H8f zenon_H142 zenon_H141 zenon_H140 zenon_H3ba zenon_H273 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H166 zenon_H8c zenon_H183 zenon_Ha3 zenon_H358 zenon_H19e.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.75/20.87 apply (zenon_L561_); trivial.
% 20.75/20.87 apply (zenon_L2070_); trivial.
% 20.75/20.87 apply (zenon_L417_); trivial.
% 20.75/20.87 apply (zenon_L100_); trivial.
% 20.75/20.87 apply (zenon_L584_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2071_ *)
% 20.75/20.87 assert (zenon_L2072_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H12e zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H166 zenon_H183 zenon_H358 zenon_H149 zenon_H1cf zenon_H46d zenon_H463 zenon_Hc5 zenon_H277 zenon_H275 zenon_H93 zenon_H8c zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H3ba zenon_H273 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.75/20.87 apply (zenon_L73_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.87 apply (zenon_L2068_); trivial.
% 20.75/20.87 apply (zenon_L2071_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2072_ *)
% 20.75/20.87 assert (zenon_L2073_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H387 zenon_H56b zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H165 zenon_Hdc zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H463 zenon_H46d zenon_H1cf zenon_H149 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.87 apply (zenon_L529_); trivial.
% 20.75/20.87 apply (zenon_L2072_); trivial.
% 20.75/20.87 apply (zenon_L1677_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2073_ *)
% 20.75/20.87 assert (zenon_L2074_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H23b zenon_Hdd zenon_Hf1 zenon_H121 zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H33e zenon_H166 zenon_H183 zenon_H358 zenon_H149 zenon_H1cf zenon_H46d zenon_H463 zenon_Hc5 zenon_H277 zenon_H275 zenon_H93 zenon_H8c zenon_H285 zenon_H8f zenon_H156 zenon_H158 zenon_H157 zenon_H273 zenon_Hdc zenon_H165 zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319 zenon_H56b zenon_H387.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.87 apply (zenon_L2073_); trivial.
% 20.75/20.87 apply (zenon_L1740_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2074_ *)
% 20.75/20.87 assert (zenon_L2075_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23c zenon_H535 zenon_H533 zenon_H452 zenon_H450 zenon_H1c8 zenon_Hc8 zenon_H2a6 zenon_H29e zenon_H1dd zenon_H387 zenon_H56b zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H165 zenon_Hdc zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H8f zenon_H285 zenon_H8c zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H46d zenon_H1cf zenon_H149 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132 zenon_H2ab zenon_H121 zenon_Hf1 zenon_Hdd zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.87 apply (zenon_L3_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.87 apply (zenon_L2074_); trivial.
% 20.75/20.87 apply (zenon_L2051_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2075_ *)
% 20.75/20.87 assert (zenon_L2076_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.87 apply (zenon_L2048_); trivial.
% 20.75/20.87 apply (zenon_L1660_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2076_ *)
% 20.75/20.87 assert (zenon_L2077_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_H2a6 zenon_H29e zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.87 apply (zenon_L1111_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.87 apply (zenon_L217_); trivial.
% 20.75/20.87 apply (zenon_L2076_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2077_ *)
% 20.75/20.87 assert (zenon_L2078_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.87 apply (zenon_L77_); trivial.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.87 apply (zenon_L1117_); trivial.
% 20.75/20.87 apply (zenon_L1673_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2078_ *)
% 20.75/20.87 assert (zenon_L2079_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.75/20.87 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H203 zenon_H56b zenon_H285.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.75/20.87 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.75/20.87 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.87 apply (zenon_L1117_); trivial.
% 20.75/20.87 apply (zenon_L576_); trivial.
% 20.75/20.87 (* end of lemma zenon_L2079_ *)
% 20.75/20.87 assert (zenon_L2080_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.75/20.88 apply (zenon_L73_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.88 apply (zenon_L2078_); trivial.
% 20.75/20.88 apply (zenon_L2079_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2080_ *)
% 20.75/20.88 assert (zenon_L2081_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H23b zenon_H132 zenon_H1cf zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H40d zenon_H165 zenon_H19e zenon_H121 zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.88 apply (zenon_L2080_); trivial.
% 20.75/20.88 apply (zenon_L1776_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2081_ *)
% 20.75/20.88 assert (zenon_L2082_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23c zenon_H535 zenon_H533 zenon_H273 zenon_H2ab zenon_H4ab zenon_H4aa zenon_H4ac zenon_H452 zenon_H450 zenon_H1c8 zenon_Hc8 zenon_H93 zenon_H6c zenon_H33e zenon_H2a6 zenon_H29e zenon_H1dd zenon_H358 zenon_H387 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H121 zenon_H19e zenon_H165 zenon_H40d zenon_H275 zenon_H277 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H1cf zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.88 apply (zenon_L3_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.88 apply (zenon_L2081_); trivial.
% 20.75/20.88 apply (zenon_L2051_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2082_ *)
% 20.75/20.88 assert (zenon_L2083_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H273 zenon_H285.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.88 apply (zenon_L1335_); trivial.
% 20.75/20.88 apply (zenon_L621_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2083_ *)
% 20.75/20.88 assert (zenon_L2084_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H335 zenon_H23b zenon_H1c7 zenon_H1c3 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H39a zenon_H3a6 zenon_H39b zenon_H423 zenon_H273 zenon_H285 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.88 apply (zenon_L1804_); trivial.
% 20.75/20.88 apply (zenon_L2083_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2084_ *)
% 20.75/20.88 assert (zenon_L2085_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H47c zenon_H335 zenon_H39b zenon_H39a zenon_H3a6 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.88 apply (zenon_L1497_); trivial.
% 20.75/20.88 apply (zenon_L633_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2085_ *)
% 20.75/20.88 assert (zenon_L2086_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H285 zenon_H273 zenon_H423 zenon_H39b zenon_H3a6 zenon_H39a zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H1c3 zenon_H1c7 zenon_H23b zenon_H335.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.88 apply (zenon_L2084_); trivial.
% 20.75/20.88 apply (zenon_L2085_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2086_ *)
% 20.75/20.88 assert (zenon_L2087_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_H132 zenon_H1cf zenon_H2a6 zenon_H29e zenon_H277 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H265 zenon_H165 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.88 apply (zenon_L1497_); trivial.
% 20.75/20.88 apply (zenon_L2077_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2087_ *)
% 20.75/20.88 assert (zenon_L2088_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H328 zenon_H47b zenon_H4ab zenon_H4aa zenon_H4ac zenon_H33e zenon_H358 zenon_H56b zenon_H387 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H219 zenon_H2e zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H40d zenon_H121 zenon_H2ab zenon_Hfb zenon_Hcc zenon_Hdc zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.88 apply (zenon_L3_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.88 apply (zenon_L1765_); trivial.
% 20.75/20.88 apply (zenon_L2051_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2088_ *)
% 20.75/20.88 assert (zenon_L2089_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_Hdc zenon_Hcc zenon_Hfb zenon_H2ab zenon_H121 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H2a6 zenon_H29e zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H219 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H387 zenon_H56b zenon_H358 zenon_H33e zenon_H4ac zenon_H4aa zenon_H4ab zenon_H47b zenon_H328.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.88 apply (zenon_L2088_); trivial.
% 20.75/20.88 apply (zenon_L1730_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2089_ *)
% 20.75/20.88 assert (zenon_L2090_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H40d zenon_H212 zenon_H215 zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.88 apply (zenon_L1834_); trivial.
% 20.75/20.88 apply (zenon_L1615_); trivial.
% 20.75/20.88 apply (zenon_L1562_); trivial.
% 20.75/20.88 apply (zenon_L1565_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2090_ *)
% 20.75/20.88 assert (zenon_L2091_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_Hc5 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H40d zenon_H212 zenon_H215 zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.88 apply (zenon_L217_); trivial.
% 20.75/20.88 apply (zenon_L2090_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2091_ *)
% 20.75/20.88 assert (zenon_L2092_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H23b zenon_H219 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H40d zenon_H560 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H157 zenon_H158 zenon_H156 zenon_H121 zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.88 apply (zenon_L1761_); trivial.
% 20.75/20.88 apply (zenon_L2091_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2092_ *)
% 20.75/20.88 assert (zenon_L2093_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H358 zenon_H29e zenon_H2a6 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.88 apply (zenon_L3_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.88 apply (zenon_L2092_); trivial.
% 20.75/20.88 apply (zenon_L1769_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2093_ *)
% 20.75/20.88 assert (zenon_L2094_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c1_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H3a6 zenon_H33e zenon_H358 zenon_H39b zenon_H39a zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.88 apply (zenon_L3_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.88 apply (zenon_L2092_); trivial.
% 20.75/20.88 apply (zenon_L1781_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2094_ *)
% 20.75/20.88 assert (zenon_L2095_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c1_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1088))) -> (c3_1 (a1088)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H249 zenon_H328 zenon_H47b zenon_H387 zenon_H3a6 zenon_H33e zenon_H358 zenon_H39b zenon_H39a zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H121 zenon_H156 zenon_H158 zenon_H157 zenon_H54a zenon_H560 zenon_H40d zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H2a6 zenon_H335.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.88 apply (zenon_L2094_); trivial.
% 20.75/20.88 apply (zenon_L2077_); trivial.
% 20.75/20.88 apply (zenon_L223_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2095_ *)
% 20.75/20.88 assert (zenon_L2096_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H332 zenon_H23b zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H2e zenon_H3f5 zenon_H39 zenon_H3b zenon_H3f3 zenon_H212 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H249 zenon_Hdd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5b zenon_Ha3 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.88 apply (zenon_L251_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.75/20.88 apply (zenon_L492_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 20.75/20.88 apply (zenon_L174_); trivial.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 20.75/20.88 apply (zenon_L2001_); trivial.
% 20.75/20.88 exact (zenon_H275 zenon_H276).
% 20.75/20.88 exact (zenon_Hdd zenon_Hde).
% 20.75/20.88 apply (zenon_L427_); trivial.
% 20.75/20.88 apply (zenon_L33_); trivial.
% 20.75/20.88 apply (zenon_L497_); trivial.
% 20.75/20.88 apply (zenon_L400_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2096_ *)
% 20.75/20.88 assert (zenon_L2097_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H328 zenon_H47b zenon_H4ab zenon_H4aa zenon_H4ac zenon_H33e zenon_H358 zenon_H56b zenon_H212 zenon_H215 zenon_H387 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H132 zenon_H219 zenon_H46d zenon_H2e zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H1cf zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H166 zenon_H423 zenon_H183 zenon_Hc5 zenon_H203 zenon_Hdd zenon_Hf1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ab zenon_H1eb zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_H1dd zenon_H273 zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.88 apply (zenon_L3_); trivial.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.88 apply (zenon_L1801_); trivial.
% 20.75/20.88 apply (zenon_L2051_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2097_ *)
% 20.75/20.88 assert (zenon_L2098_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H273 zenon_H1dd zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1eb zenon_H2ab zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_Hdd zenon_H203 zenon_Hc5 zenon_H183 zenon_H423 zenon_H166 zenon_H2a6 zenon_H29e zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H1cf zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H46d zenon_H219 zenon_H132 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H387 zenon_H215 zenon_H212 zenon_H56b zenon_H358 zenon_H33e zenon_H4ac zenon_H4aa zenon_H4ab zenon_H47b zenon_H328.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.88 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.88 apply (zenon_L2097_); trivial.
% 20.75/20.88 apply (zenon_L1730_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2098_ *)
% 20.75/20.88 assert (zenon_L2099_ : ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> False).
% 20.75/20.88 do 0 intro. intros zenon_H484 zenon_Hc0 zenon_H23c zenon_H535 zenon_H533 zenon_Hdc zenon_Hcc zenon_Hfb zenon_H1eb zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H166 zenon_H1c8 zenon_H5a1 zenon_H59f zenon_H5b0 zenon_H387 zenon_H56b zenon_H358 zenon_H33e zenon_H4ac zenon_H4aa zenon_H4ab zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H9 zenon_Hf zenon_H435 zenon_H8c zenon_H203 zenon_H121 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328 zenon_H215 zenon_H212 zenon_H5ec zenon_H423 zenon_H40d zenon_H2ab zenon_H275 zenon_H19e zenon_H285 zenon_H165 zenon_H265 zenon_H277 zenon_H1cf zenon_H132 zenon_H485.
% 20.75/20.88 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.88 apply (zenon_L1800_); trivial.
% 20.75/20.88 apply (zenon_L2098_); trivial.
% 20.75/20.88 (* end of lemma zenon_L2099_ *)
% 20.75/20.88 assert (zenon_L2100_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H2b9 zenon_H249 zenon_H485 zenon_H132 zenon_H1cf zenon_H277 zenon_H265 zenon_H165 zenon_H285 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H5ec zenon_H212 zenon_H215 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H435 zenon_Hf zenon_H9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H335 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H33e zenon_H358 zenon_H56b zenon_H387 zenon_H5b0 zenon_H59f zenon_H5a1 zenon_H1c8 zenon_H166 zenon_H183 zenon_Hdd zenon_Hf1 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H1eb zenon_Hfb zenon_Hcc zenon_Hdc zenon_H533 zenon_H535 zenon_H23c zenon_Hc0 zenon_H484.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.89 apply (zenon_L2099_); trivial.
% 20.75/20.89 apply (zenon_L223_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2100_ *)
% 20.75/20.89 assert (zenon_L2101_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp43)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp42)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hee zenon_Hf1 zenon_H1f1 zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.89 apply (zenon_L2048_); trivial.
% 20.75/20.89 apply (zenon_L2004_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2101_ *)
% 20.75/20.89 assert (zenon_L2102_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.89 apply (zenon_L2101_); trivial.
% 20.75/20.89 apply (zenon_L1562_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2102_ *)
% 20.75/20.89 assert (zenon_L2103_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H121.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.89 apply (zenon_L2102_); trivial.
% 20.75/20.89 apply (zenon_L1565_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2103_ *)
% 20.75/20.89 assert (zenon_L2104_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp10)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H1cf zenon_H203 zenon_Hdd zenon_H157 zenon_H158 zenon_H156 zenon_Hf1 zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.89 apply (zenon_L643_); trivial.
% 20.75/20.89 apply (zenon_L2103_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2104_ *)
% 20.75/20.89 assert (zenon_L2105_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (~(hskp38)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp42)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H121 zenon_H1dd zenon_H46f zenon_H2f zenon_H471 zenon_H470 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H285 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1f1 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.89 apply (zenon_L2101_); trivial.
% 20.75/20.89 apply (zenon_L1466_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2105_ *)
% 20.75/20.89 assert (zenon_L2106_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H12e zenon_Hc8 zenon_H93 zenon_H6c zenon_H121 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf zenon_H219.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.89 apply (zenon_L2105_); trivial.
% 20.75/20.89 apply (zenon_L631_); trivial.
% 20.75/20.89 apply (zenon_L1520_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2106_ *)
% 20.75/20.89 assert (zenon_L2107_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H478 zenon_H23b zenon_H132 zenon_H121 zenon_H19e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H1cf zenon_H307 zenon_H2f9 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.89 apply (zenon_L1507_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.89 apply (zenon_L643_); trivial.
% 20.75/20.89 apply (zenon_L2106_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2107_ *)
% 20.75/20.89 assert (zenon_L2108_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_H93 zenon_H6c zenon_H33e zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_Hf1 zenon_H156 zenon_H158 zenon_H157 zenon_Hdd zenon_H203 zenon_H1cf zenon_H46d zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.89 apply (zenon_L3_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.89 apply (zenon_L251_); trivial.
% 20.75/20.89 apply (zenon_L2104_); trivial.
% 20.75/20.89 apply (zenon_L2107_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2108_ *)
% 20.75/20.89 assert (zenon_L2109_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H23a zenon_H2b9 zenon_H249 zenon_H328 zenon_H47b zenon_Hc8 zenon_H93 zenon_H6c zenon_H33e zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H295 zenon_H296 zenon_H297 zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_Hf1 zenon_Hdd zenon_H203 zenon_H1cf zenon_H46d zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H5 zenon_H273 zenon_H3ba zenon_H423 zenon_H2ab zenon_H335.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.89 apply (zenon_L2108_); trivial.
% 20.75/20.89 apply (zenon_L2062_); trivial.
% 20.75/20.89 apply (zenon_L223_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2109_ *)
% 20.75/20.89 assert (zenon_L2110_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H2db zenon_H2df zenon_H484 zenon_Hc0 zenon_H23c zenon_H535 zenon_H533 zenon_Hdc zenon_Hcc zenon_Hfb zenon_H1eb zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_Hf1 zenon_Hdd zenon_H183 zenon_H166 zenon_H1c8 zenon_H5a1 zenon_H59f zenon_H5b0 zenon_H387 zenon_H56b zenon_H358 zenon_H33e zenon_H4ac zenon_H4aa zenon_H4ab zenon_H335 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_Hf zenon_H435 zenon_H8c zenon_H203 zenon_H121 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328 zenon_H215 zenon_H212 zenon_H5ec zenon_H423 zenon_H40d zenon_H2ab zenon_H275 zenon_H19e zenon_H285 zenon_H165 zenon_H265 zenon_H277 zenon_H1cf zenon_H132 zenon_H485 zenon_H249 zenon_H2b9.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.89 apply (zenon_L2100_); trivial.
% 20.75/20.89 apply (zenon_L2109_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2110_ *)
% 20.75/20.89 assert (zenon_L2111_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H2e zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.89 apply (zenon_L396_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.89 apply (zenon_L1668_); trivial.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.89 exact (zenon_H60 zenon_H61).
% 20.75/20.89 apply (zenon_L1256_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2111_ *)
% 20.75/20.89 assert (zenon_L2112_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H1ce zenon_Hc5 zenon_H277 zenon_H275 zenon_H140 zenon_H141 zenon_H142 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e zenon_Ha3.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.89 apply (zenon_L2111_); trivial.
% 20.75/20.89 apply (zenon_L33_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.89 apply (zenon_L2111_); trivial.
% 20.75/20.89 apply (zenon_L37_); trivial.
% 20.75/20.89 apply (zenon_L417_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2112_ *)
% 20.75/20.89 assert (zenon_L2113_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e zenon_Ha3 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.89 apply (zenon_L77_); trivial.
% 20.75/20.89 apply (zenon_L2112_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2113_ *)
% 20.75/20.89 assert (zenon_L2114_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_Hc8 zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H5a1 zenon_H59f zenon_H33e zenon_H338 zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.75/20.89 apply (zenon_L73_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.89 apply (zenon_L2113_); trivial.
% 20.75/20.89 apply (zenon_L1217_); trivial.
% 20.75/20.89 apply (zenon_L1349_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2114_ *)
% 20.75/20.89 assert (zenon_L2115_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp42)) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H1f1 zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.89 apply (zenon_L1197_); trivial.
% 20.75/20.89 apply (zenon_L270_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2115_ *)
% 20.75/20.89 assert (zenon_L2116_ : ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> (c0_1 (a1046)) -> (c1_1 (a1046)) -> (~(c2_1 (a1046))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1049)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H93 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H206 zenon_H208 zenon_H207 zenon_H500 zenon_H5ed zenon_H5eb zenon_H100 zenon_H101 zenon_Hff zenon_H230 zenon_H22f zenon_H22e zenon_H8c zenon_H46d zenon_H2e.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.89 apply (zenon_L396_); trivial.
% 20.75/20.89 apply (zenon_L1540_); trivial.
% 20.75/20.89 apply (zenon_L1199_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2116_ *)
% 20.75/20.89 assert (zenon_L2117_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H214 zenon_H121 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H2e zenon_H46d zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.89 apply (zenon_L1197_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.89 apply (zenon_L2116_); trivial.
% 20.75/20.89 apply (zenon_L1416_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2117_ *)
% 20.75/20.89 assert (zenon_L2118_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H237 zenon_H219 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.89 apply (zenon_L2115_); trivial.
% 20.75/20.89 apply (zenon_L2117_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2118_ *)
% 20.75/20.89 assert (zenon_L2119_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (~(hskp38)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H121 zenon_H1dd zenon_H46f zenon_H2f zenon_H471 zenon_H470 zenon_H8c zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.89 apply (zenon_L1197_); trivial.
% 20.75/20.89 apply (zenon_L1466_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2119_ *)
% 20.75/20.89 assert (zenon_L2120_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.89 apply (zenon_L2119_); trivial.
% 20.75/20.89 apply (zenon_L1204_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2120_ *)
% 20.75/20.89 assert (zenon_L2121_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H256 zenon_H25e zenon_H255 zenon_H265 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H59f zenon_H5a1 zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_Hc8 zenon_H203 zenon_H46d zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.89 apply (zenon_L3_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.89 apply (zenon_L2114_); trivial.
% 20.75/20.89 apply (zenon_L916_); trivial.
% 20.75/20.89 apply (zenon_L2118_); trivial.
% 20.75/20.89 apply (zenon_L2120_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2121_ *)
% 20.75/20.89 assert (zenon_L2122_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H237 zenon_H121 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.89 apply (zenon_L1197_); trivial.
% 20.75/20.89 apply (zenon_L620_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2122_ *)
% 20.75/20.89 assert (zenon_L2123_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.89 apply (zenon_L252_); trivial.
% 20.75/20.89 apply (zenon_L2122_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2123_ *)
% 20.75/20.89 assert (zenon_L2124_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H23a zenon_Hc5 zenon_H5b0 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.89 apply (zenon_L2038_); trivial.
% 20.75/20.89 apply (zenon_L1416_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2124_ *)
% 20.75/20.89 assert (zenon_L2125_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H2d8 zenon_H2df zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H265 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H59f zenon_H5a1 zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_Hc8 zenon_H203 zenon_H46d zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H249 zenon_Hdd zenon_H335.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.89 apply (zenon_L2121_); trivial.
% 20.75/20.89 apply (zenon_L2123_); trivial.
% 20.75/20.89 apply (zenon_L2124_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2125_ *)
% 20.75/20.89 assert (zenon_L2126_ : ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp54)) -> (~(hskp47)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H5e zenon_H60 zenon_H6c zenon_Hfb.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.89 apply (zenon_L396_); trivial.
% 20.75/20.89 apply (zenon_L2066_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2126_ *)
% 20.75/20.89 assert (zenon_L2127_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H1ce zenon_Hc5 zenon_H277 zenon_H275 zenon_H140 zenon_H141 zenon_H142 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_Ha3.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.89 apply (zenon_L2126_); trivial.
% 20.75/20.89 apply (zenon_L33_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.89 apply (zenon_L2126_); trivial.
% 20.75/20.89 apply (zenon_L37_); trivial.
% 20.75/20.89 apply (zenon_L417_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2127_ *)
% 20.75/20.89 assert (zenon_L2128_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_Ha3 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.89 apply (zenon_L77_); trivial.
% 20.75/20.89 apply (zenon_L2127_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2128_ *)
% 20.75/20.89 assert (zenon_L2129_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H37c zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.75/20.89 apply (zenon_L73_); trivial.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.89 apply (zenon_L2128_); trivial.
% 20.75/20.89 apply (zenon_L1396_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2129_ *)
% 20.75/20.89 assert (zenon_L2130_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H23b zenon_H46d zenon_H463 zenon_Hc8 zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H5a1 zenon_H59f zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.89 apply (zenon_L2114_); trivial.
% 20.75/20.89 apply (zenon_L2129_); trivial.
% 20.75/20.89 apply (zenon_L2118_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2130_ *)
% 20.75/20.89 assert (zenon_L2131_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H1dd zenon_H121.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.89 apply (zenon_L2119_); trivial.
% 20.75/20.89 apply (zenon_L419_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2131_ *)
% 20.75/20.89 assert (zenon_L2132_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.75/20.89 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.89 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.89 apply (zenon_L1111_); trivial.
% 20.75/20.89 apply (zenon_L2122_); trivial.
% 20.75/20.89 (* end of lemma zenon_L2132_ *)
% 20.75/20.89 assert (zenon_L2133_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H23b zenon_H219 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.90 apply (zenon_L251_); trivial.
% 20.75/20.90 apply (zenon_L2118_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2133_ *)
% 20.75/20.90 assert (zenon_L2134_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8f zenon_H183 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H470 zenon_H471 zenon_H46f zenon_H1dd zenon_H121.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.90 apply (zenon_L2119_); trivial.
% 20.75/20.90 apply (zenon_L1237_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2134_ *)
% 20.75/20.90 assert (zenon_L2135_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H237 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.90 apply (zenon_L1498_); trivial.
% 20.75/20.90 apply (zenon_L2134_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2135_ *)
% 20.75/20.90 assert (zenon_L2136_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.90 apply (zenon_L251_); trivial.
% 20.75/20.90 apply (zenon_L2135_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2136_ *)
% 20.75/20.90 assert (zenon_L2137_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H332 zenon_H23b zenon_H121 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.90 apply (zenon_L251_); trivial.
% 20.75/20.90 apply (zenon_L2122_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2137_ *)
% 20.75/20.90 assert (zenon_L2138_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H4a2 zenon_H3af zenon_H183 zenon_H166 zenon_H2de zenon_H215 zenon_H212 zenon_H56b zenon_H423 zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H335 zenon_Hdd zenon_H249 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H46d zenon_H203 zenon_Hc8 zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H137 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H5a1 zenon_H59f zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H265 zenon_H285 zenon_H387 zenon_H47b zenon_H328 zenon_H2df zenon_H2e0 zenon_H3b0.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.75/20.90 apply (zenon_L1427_); trivial.
% 20.75/20.90 apply (zenon_L2125_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.90 apply (zenon_L3_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_L2130_); trivial.
% 20.75/20.90 apply (zenon_L2131_); trivial.
% 20.75/20.90 apply (zenon_L2132_); trivial.
% 20.75/20.90 apply (zenon_L2124_); trivial.
% 20.75/20.90 apply (zenon_L1417_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.90 apply (zenon_L3_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_L2133_); trivial.
% 20.75/20.90 apply (zenon_L2136_); trivial.
% 20.75/20.90 apply (zenon_L2137_); trivial.
% 20.75/20.90 apply (zenon_L2124_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2138_ *)
% 20.75/20.90 assert (zenon_L2139_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp47)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> (~(hskp43)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H2e zenon_H125 zenon_H126 zenon_H127 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_H60 zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H161 zenon_H163 zenon_H165 zenon_Hdc zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H59f zenon_Hee zenon_H5a1 zenon_H285 zenon_H8c zenon_H8f zenon_H93.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H5e | zenon_intro zenon_H8e ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.90 apply (zenon_L426_); trivial.
% 20.75/20.90 apply (zenon_L2044_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.90 apply (zenon_L1843_); trivial.
% 20.75/20.90 apply (zenon_L2044_); trivial.
% 20.75/20.90 apply (zenon_L33_); trivial.
% 20.75/20.90 apply (zenon_L308_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2139_ *)
% 20.75/20.90 assert (zenon_L2140_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(hskp42)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H1f1 zenon_H2e zenon_H125 zenon_H126 zenon_H127 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H59f zenon_H5a1 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.90 apply (zenon_L2139_); trivial.
% 20.75/20.90 apply (zenon_L311_); trivial.
% 20.75/20.90 apply (zenon_L100_); trivial.
% 20.75/20.90 apply (zenon_L1586_); trivial.
% 20.75/20.90 apply (zenon_L315_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2140_ *)
% 20.75/20.90 assert (zenon_L2141_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.90 apply (zenon_L2140_); trivial.
% 20.75/20.90 apply (zenon_L1591_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2141_ *)
% 20.75/20.90 assert (zenon_L2142_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp33)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hdd zenon_H249 zenon_H1c5 zenon_H392 zenon_H398 zenon_H319.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L368_); trivial.
% 20.75/20.90 apply (zenon_L2141_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2142_ *)
% 20.75/20.90 assert (zenon_L2143_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.90 apply (zenon_L2140_); trivial.
% 20.75/20.90 apply (zenon_L631_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2143_ *)
% 20.75/20.90 assert (zenon_L2144_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H59f zenon_H5a1 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_Hf1 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H212 zenon_H215 zenon_H219 zenon_H132.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L368_); trivial.
% 20.75/20.90 apply (zenon_L2143_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.75/20.90 apply (zenon_L1498_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L306_); trivial.
% 20.75/20.90 apply (zenon_L1795_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2144_ *)
% 20.75/20.90 assert (zenon_L2145_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.90 apply (zenon_L2142_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L264_); trivial.
% 20.75/20.90 apply (zenon_L2141_); trivial.
% 20.75/20.90 apply (zenon_L2144_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2145_ *)
% 20.75/20.90 assert (zenon_L2146_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.90 apply (zenon_L3_); trivial.
% 20.75/20.90 apply (zenon_L2145_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2146_ *)
% 20.75/20.90 assert (zenon_L2147_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (c3_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H328 zenon_H47b zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H158 zenon_H157 zenon_H156 zenon_H39a zenon_H39b zenon_H308 zenon_H2f9 zenon_H307 zenon_Ha3 zenon_H121 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H59f zenon_H5a1 zenon_H285 zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.90 apply (zenon_L3_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L1772_); trivial.
% 20.75/20.90 apply (zenon_L2141_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L1772_); trivial.
% 20.75/20.90 apply (zenon_L2143_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2147_ *)
% 20.75/20.90 assert (zenon_L2148_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H3ab zenon_H335 zenon_H273 zenon_H3ba zenon_H25e zenon_H256 zenon_H255 zenon_H249 zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_H19e zenon_H121 zenon_Ha3 zenon_H307 zenon_H2f9 zenon_H308 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_H47b zenon_H328.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.90 apply (zenon_L2147_); trivial.
% 20.75/20.90 apply (zenon_L674_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2148_ *)
% 20.75/20.90 assert (zenon_L2149_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.90 apply (zenon_L3_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.90 apply (zenon_L559_); trivial.
% 20.75/20.90 apply (zenon_L315_); trivial.
% 20.75/20.90 apply (zenon_L1591_); trivial.
% 20.75/20.90 apply (zenon_L1468_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2149_ *)
% 20.75/20.90 assert (zenon_L2150_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H39 zenon_H3b zenon_H5b zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H132 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.90 apply (zenon_L1497_); trivial.
% 20.75/20.90 apply (zenon_L1896_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2150_ *)
% 20.75/20.90 assert (zenon_L2151_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H481 zenon_H335 zenon_H39 zenon_H3b zenon_H5b zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H387 zenon_H56b zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Hc8 zenon_H1c8 zenon_H3ba zenon_H423 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H1eb zenon_H273 zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H47b zenon_H328.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.90 apply (zenon_L3_); trivial.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_L1892_); trivial.
% 20.75/20.90 apply (zenon_L2051_); trivial.
% 20.75/20.90 apply (zenon_L1896_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2151_ *)
% 20.75/20.90 assert (zenon_L2152_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H2b9 zenon_H249 zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H132 zenon_H19e zenon_H2e zenon_H40d zenon_H277 zenon_Hfb zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H3ba zenon_H273 zenon_H285 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H275 zenon_H2ab zenon_H33e zenon_H358 zenon_H5b zenon_H3b zenon_H39 zenon_H387 zenon_H335 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_H4ab zenon_H4aa zenon_H4ac zenon_H423 zenon_H1c8 zenon_H56b zenon_Hf zenon_H9 zenon_Hf1 zenon_Hdd zenon_H484.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.90 apply (zenon_L2149_); trivial.
% 20.75/20.90 apply (zenon_L1896_); trivial.
% 20.75/20.90 apply (zenon_L2150_); trivial.
% 20.75/20.90 apply (zenon_L2151_); trivial.
% 20.75/20.90 apply (zenon_L223_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2152_ *)
% 20.75/20.90 assert (zenon_L2153_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H1cf zenon_H48c zenon_H48a zenon_H1f1 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H165 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.90 apply (zenon_L2060_); trivial.
% 20.75/20.90 apply (zenon_L1860_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2153_ *)
% 20.75/20.90 assert (zenon_L2154_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H8c zenon_Hc5 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H1cf.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.90 apply (zenon_L2153_); trivial.
% 20.75/20.90 apply (zenon_L1591_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2154_ *)
% 20.75/20.90 assert (zenon_L2155_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8f zenon_H285 zenon_H273 zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_H8c zenon_Hc5 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H1cf zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.90 apply (zenon_L217_); trivial.
% 20.75/20.90 apply (zenon_L2154_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2155_ *)
% 20.75/20.90 assert (zenon_L2156_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H39 zenon_H3b zenon_H5b zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_H6c zenon_H93 zenon_Hc8 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H1cf zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H8c zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H3ba zenon_H273 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.90 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.90 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.90 apply (zenon_L2155_); trivial.
% 20.75/20.90 apply (zenon_L1895_); trivial.
% 20.75/20.90 (* end of lemma zenon_L2156_ *)
% 20.75/20.90 assert (zenon_L2157_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.90 do 0 intro. intros zenon_H485 zenon_Hdc zenon_Hcc zenon_Hfb zenon_H2e zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H436 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H132 zenon_H19e zenon_H285 zenon_H273 zenon_H3ba zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H277 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H275 zenon_H2ab zenon_H33e zenon_H358 zenon_H5b zenon_H3b zenon_H39 zenon_H387 zenon_H335.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.91 apply (zenon_L2149_); trivial.
% 20.75/20.91 apply (zenon_L2156_); trivial.
% 20.75/20.91 apply (zenon_L2150_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2157_ *)
% 20.75/20.91 assert (zenon_L2158_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.91 apply (zenon_L217_); trivial.
% 20.75/20.91 apply (zenon_L2141_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2158_ *)
% 20.75/20.91 assert (zenon_L2159_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H481 zenon_H335 zenon_H39 zenon_H3b zenon_H5b zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_Hdd zenon_Hf1 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H5a1 zenon_H59f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H277 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H121 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H387 zenon_H56b zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_Hc8 zenon_H1c8 zenon_H3ba zenon_H423 zenon_H1eb zenon_H273 zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H47b zenon_H328.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.91 apply (zenon_L3_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.91 apply (zenon_L2158_); trivial.
% 20.75/20.91 apply (zenon_L2051_); trivial.
% 20.75/20.91 apply (zenon_L1896_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2159_ *)
% 20.75/20.91 assert (zenon_L2160_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (c2_1 (a1059)) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H8c zenon_H340 zenon_H341 zenon_H4e9 zenon_H342 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.75/20.91 apply (zenon_L61_); trivial.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.75/20.91 apply (zenon_L1063_); trivial.
% 20.75/20.91 apply (zenon_L64_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2160_ *)
% 20.75/20.91 assert (zenon_L2161_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H500 zenon_Hff zenon_H100 zenon_H101 zenon_H8c zenon_H5ed zenon_H5eb zenon_H5ec zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.75/20.91 apply (zenon_L2160_); trivial.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.75/20.91 apply (zenon_L1431_); trivial.
% 20.75/20.91 apply (zenon_L1059_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2161_ *)
% 20.75/20.91 assert (zenon_L2162_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H183 zenon_H8f zenon_H78 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_Hff zenon_H101 zenon_H100 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.75/20.91 apply (zenon_L2161_); trivial.
% 20.75/20.91 apply (zenon_L89_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2162_ *)
% 20.75/20.91 assert (zenon_L2163_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H11b zenon_Ha3 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H8f zenon_H183.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.75/20.91 apply (zenon_L2162_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.75/20.91 apply (zenon_L2161_); trivial.
% 20.75/20.91 apply (zenon_L91_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2163_ *)
% 20.75/20.91 assert (zenon_L2164_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H121 zenon_Ha3 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H8f zenon_H183 zenon_H436 zenon_H433 zenon_H435.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.91 apply (zenon_L559_); trivial.
% 20.75/20.91 apply (zenon_L2163_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2164_ *)
% 20.75/20.91 assert (zenon_L2165_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp27)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H485 zenon_H335 zenon_H387 zenon_H39 zenon_H3b zenon_H5b zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H1cf zenon_H48c zenon_H48a zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H40d zenon_H2e zenon_H19e zenon_H132 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328 zenon_H435 zenon_H436 zenon_H183 zenon_H8f zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_Ha3 zenon_H121.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.91 apply (zenon_L2164_); trivial.
% 20.75/20.91 apply (zenon_L2150_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2165_ *)
% 20.75/20.91 assert (zenon_L2166_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H2db zenon_H293 zenon_H2b9 zenon_H249 zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H132 zenon_H19e zenon_H2e zenon_H40d zenon_H277 zenon_Hfb zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H3ba zenon_H273 zenon_H285 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H275 zenon_H2ab zenon_H33e zenon_H358 zenon_H5b zenon_H3b zenon_H387 zenon_H335 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_H4ab zenon_H4aa zenon_H4ac zenon_H423 zenon_H1c8 zenon_H56b zenon_Hf zenon_Hf1 zenon_Hdd zenon_H484 zenon_H4d4 zenon_H59f zenon_H5a1 zenon_H53b zenon_H2df.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.91 apply (zenon_L2152_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.91 apply (zenon_L2157_); trivial.
% 20.75/20.91 apply (zenon_L2159_); trivial.
% 20.75/20.91 apply (zenon_L1821_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.91 apply (zenon_L2165_); trivial.
% 20.75/20.91 apply (zenon_L2159_); trivial.
% 20.75/20.91 apply (zenon_L223_); trivial.
% 20.75/20.91 apply (zenon_L206_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2166_ *)
% 20.75/20.91 assert (zenon_L2167_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.91 apply (zenon_L1904_); trivial.
% 20.75/20.91 apply (zenon_L1591_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2167_ *)
% 20.75/20.91 assert (zenon_L2168_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp33)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hc zenon_Hdd zenon_H249 zenon_H1c5 zenon_H392 zenon_H398 zenon_H319.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.91 apply (zenon_L368_); trivial.
% 20.75/20.91 apply (zenon_L2167_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2168_ *)
% 20.75/20.91 assert (zenon_L2169_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(hskp31)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H46d zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H463 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.91 apply (zenon_L2003_); trivial.
% 20.75/20.91 apply (zenon_L2032_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2169_ *)
% 20.75/20.91 assert (zenon_L2170_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H12e zenon_H1cf zenon_Hc5 zenon_H46d zenon_H340 zenon_H341 zenon_H342 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.91 apply (zenon_L571_); trivial.
% 20.75/20.91 apply (zenon_L2169_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2170_ *)
% 20.75/20.91 assert (zenon_L2171_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_Hc5 zenon_H46d zenon_H340 zenon_H341 zenon_H342 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H212 zenon_H215 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H19e zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_H12 zenon_H11 zenon_H10 zenon_Hdd zenon_H249 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.91 apply (zenon_L264_); trivial.
% 20.75/20.91 apply (zenon_L2170_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2171_ *)
% 20.75/20.91 assert (zenon_L2172_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp31)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H23b zenon_Hc5 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_Hc zenon_H10 zenon_H11 zenon_H12 zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H463 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H132.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.91 apply (zenon_L2168_); trivial.
% 20.75/20.91 apply (zenon_L2171_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2172_ *)
% 20.75/20.91 assert (zenon_L2173_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H121 zenon_H2e zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_H156 zenon_H158 zenon_H157 zenon_H59f zenon_H5a1 zenon_H93 zenon_Hf1 zenon_H132 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H392 zenon_H398 zenon_H319 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_Hc5 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.91 apply (zenon_L3_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.91 apply (zenon_L2172_); trivial.
% 20.75/20.91 apply (zenon_L2144_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2173_ *)
% 20.75/20.91 assert (zenon_L2174_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c1_1 (a1080))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H335 zenon_H25e zenon_H436 zenon_H433 zenon_H435 zenon_H5 zenon_H6 zenon_H23b zenon_Hc5 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H132 zenon_Hf1 zenon_H93 zenon_H5a1 zenon_H59f zenon_H157 zenon_H158 zenon_H156 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H2e zenon_H121 zenon_H358 zenon_H33e zenon_H387 zenon_H47b zenon_H328.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.91 apply (zenon_L2173_); trivial.
% 20.75/20.91 apply (zenon_L695_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2174_ *)
% 20.75/20.91 assert (zenon_L2175_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8f zenon_H165 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H8c zenon_Hc5 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H1cf zenon_H249 zenon_Hdd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_Hc zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.91 apply (zenon_L666_); trivial.
% 20.75/20.91 apply (zenon_L2154_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2175_ *)
% 20.75/20.91 assert (zenon_L2176_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H1cf zenon_H32b zenon_H32a zenon_H329 zenon_H48c zenon_H48a zenon_H1f1 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H285 zenon_H256 zenon_H25e zenon_H255 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.75/20.91 apply (zenon_L1753_); trivial.
% 20.75/20.91 apply (zenon_L1860_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2176_ *)
% 20.75/20.91 assert (zenon_L2177_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H12e zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H255 zenon_H25e zenon_H256 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H329 zenon_H32a zenon_H32b zenon_H1cf.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.91 apply (zenon_L2176_); trivial.
% 20.75/20.91 apply (zenon_L631_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2177_ *)
% 20.75/20.91 assert (zenon_L2178_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H165 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H1cf zenon_H249 zenon_Hdd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.91 apply (zenon_L666_); trivial.
% 20.75/20.91 apply (zenon_L2177_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2178_ *)
% 20.75/20.91 assert (zenon_L2179_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H332 zenon_H47b zenon_H2ba zenon_H2bb zenon_H2bc zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_Hdd zenon_H249 zenon_H1cf zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H165 zenon_H8f zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.91 apply (zenon_L2175_); trivial.
% 20.75/20.91 apply (zenon_L2178_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2179_ *)
% 20.75/20.91 assert (zenon_L2180_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c1_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H481 zenon_H335 zenon_H25e zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_Hc5 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H319 zenon_H398 zenon_H392 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H308 zenon_H2f9 zenon_H307 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H132 zenon_Hf1 zenon_H93 zenon_H5a1 zenon_H59f zenon_H157 zenon_H158 zenon_H156 zenon_Hdc zenon_Hcc zenon_H6c zenon_Hfb zenon_H2e zenon_H121 zenon_H358 zenon_H33e zenon_H387 zenon_H47b zenon_H328.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.91 apply (zenon_L2173_); trivial.
% 20.75/20.91 apply (zenon_L2179_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2180_ *)
% 20.75/20.91 assert (zenon_L2181_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.91 apply (zenon_L217_); trivial.
% 20.75/20.91 apply (zenon_L2167_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2181_ *)
% 20.75/20.91 assert (zenon_L2182_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H481 zenon_H335 zenon_H39 zenon_H3b zenon_H5b zenon_H158 zenon_H156 zenon_H157 zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H387 zenon_H56b zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H1c8 zenon_H423 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H40d zenon_H1eb zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H47b zenon_H328.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.91 apply (zenon_L3_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.91 apply (zenon_L2181_); trivial.
% 20.75/20.91 apply (zenon_L2051_); trivial.
% 20.75/20.91 apply (zenon_L2156_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2182_ *)
% 20.75/20.91 assert (zenon_L2183_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H39 zenon_H3b zenon_H5b zenon_H358 zenon_H1dd zenon_H29e zenon_H2a6 zenon_H33e zenon_H6c zenon_H93 zenon_Hc8 zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H1cf zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H8c zenon_H277 zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H3ba zenon_H273 zenon_H285 zenon_H8f zenon_Ha3 zenon_H19e zenon_H132 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.91 apply (zenon_L1497_); trivial.
% 20.75/20.91 apply (zenon_L2156_); trivial.
% 20.75/20.91 (* end of lemma zenon_L2183_ *)
% 20.75/20.91 assert (zenon_L2184_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> False).
% 20.75/20.91 do 0 intro. intros zenon_H2db zenon_H293 zenon_H2b9 zenon_H249 zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H132 zenon_H19e zenon_H2e zenon_H40d zenon_H277 zenon_Hfb zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H3ba zenon_H273 zenon_H285 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H275 zenon_H2ab zenon_H33e zenon_H358 zenon_H5b zenon_H3b zenon_H387 zenon_H335 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_H4ab zenon_H4aa zenon_H4ac zenon_H423 zenon_H1c8 zenon_H56b zenon_Hf zenon_Hf1 zenon_Hdd zenon_H484 zenon_H4d4 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H53b zenon_H2df.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.91 apply (zenon_L2152_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.91 apply (zenon_L2157_); trivial.
% 20.75/20.91 apply (zenon_L2182_); trivial.
% 20.75/20.91 apply (zenon_L1821_); trivial.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.75/20.91 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.75/20.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.75/20.92 apply (zenon_L2164_); trivial.
% 20.75/20.92 apply (zenon_L2183_); trivial.
% 20.75/20.92 apply (zenon_L2182_); trivial.
% 20.75/20.92 apply (zenon_L223_); trivial.
% 20.75/20.92 apply (zenon_L206_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2184_ *)
% 20.75/20.92 assert (zenon_L2185_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H325 zenon_H47b zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H398 zenon_H392 zenon_H249 zenon_H255 zenon_H256 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H59f zenon_H5a1 zenon_H285 zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.75/20.92 apply (zenon_L354_); trivial.
% 20.75/20.92 apply (zenon_L2141_); trivial.
% 20.75/20.92 apply (zenon_L2144_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2185_ *)
% 20.75/20.92 assert (zenon_L2186_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H398 zenon_H392 zenon_H249 zenon_H255 zenon_H256 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2e2 zenon_H2e1 zenon_H2e3 zenon_H2f9 zenon_H307 zenon_H121 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H59f zenon_H5a1 zenon_H285 zenon_H93 zenon_Hf1 zenon_Hdd zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.92 apply (zenon_L3_); trivial.
% 20.75/20.92 apply (zenon_L2185_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2186_ *)
% 20.75/20.92 assert (zenon_L2187_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H332 zenon_H47b zenon_H2e zenon_Hfb zenon_H6c zenon_Hcc zenon_Hdc zenon_H93 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_Hdd zenon_H249 zenon_H1cf zenon_H48c zenon_H48a zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_Hc5 zenon_H8c zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H165 zenon_H8f zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_L2175_); trivial.
% 20.75/20.92 apply (zenon_L1865_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2187_ *)
% 20.75/20.92 assert (zenon_L2188_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H4a2 zenon_H2df zenon_H5a1 zenon_H59f zenon_H93 zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H40d zenon_H2e zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b0 zenon_Hc5 zenon_H121.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.75/20.92 apply (zenon_L1197_); trivial.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.92 apply (zenon_L2029_); trivial.
% 20.75/20.92 apply (zenon_L1416_); trivial.
% 20.75/20.92 apply (zenon_L2124_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2188_ *)
% 20.75/20.92 assert (zenon_L2189_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (ndr1_0) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H2de zenon_H2b9 zenon_H249 zenon_Hdd zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H6c zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hc zenon_Hc8 zenon_H273 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2e0.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.92 apply (zenon_L1390_); trivial.
% 20.75/20.92 apply (zenon_L1958_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2189_ *)
% 20.75/20.92 assert (zenon_L2190_ : ((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H5d6 zenon_H4a5 zenon_H3b0 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H2e0 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H1c7 zenon_Ha3 zenon_H1ed zenon_H137 zenon_H273 zenon_Hc8 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20 zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_Hdd zenon_H249 zenon_H2b9 zenon_H2de zenon_H3af.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_Hc. zenon_intro zenon_H5d7.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H5ca. zenon_intro zenon_H5d8.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H5cb. zenon_intro zenon_H5cc.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.75/20.92 apply (zenon_L2189_); trivial.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.75/20.92 apply (zenon_L1946_); trivial.
% 20.75/20.92 apply (zenon_L1963_); trivial.
% 20.75/20.92 apply (zenon_L1388_); trivial.
% 20.75/20.92 apply (zenon_L1413_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2190_ *)
% 20.75/20.92 assert (zenon_L2191_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ce zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L1673_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2191_ *)
% 20.75/20.92 assert (zenon_L2192_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.92 apply (zenon_L77_); trivial.
% 20.75/20.92 apply (zenon_L2191_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2192_ *)
% 20.75/20.92 assert (zenon_L2193_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L576_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2193_ *)
% 20.75/20.92 assert (zenon_L2194_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.75/20.92 apply (zenon_L73_); trivial.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.92 apply (zenon_L2192_); trivial.
% 20.75/20.92 apply (zenon_L2193_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2194_ *)
% 20.75/20.92 assert (zenon_L2195_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp40)) -> (~(hskp41)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> (ndr1_0) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H219 zenon_H46d zenon_H13b zenon_H13d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22f zenon_H230 zenon_H149 zenon_H463 zenon_Hc zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L1458_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2195_ *)
% 20.75/20.92 assert (zenon_L2196_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1031)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (ndr1_0) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp40)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ed zenon_H121 zenon_H22e zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_Hc zenon_H463 zenon_H149 zenon_H230 zenon_H22f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H13b zenon_H46d zenon_H219.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.92 apply (zenon_L2195_); trivial.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L1454_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2196_ *)
% 20.75/20.92 assert (zenon_L2197_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H237 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H1ed.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.92 apply (zenon_L2196_); trivial.
% 20.75/20.92 apply (zenon_L2193_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2197_ *)
% 20.75/20.92 assert (zenon_L2198_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H478 zenon_H219 zenon_H215 zenon_H212 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L631_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2198_ *)
% 20.75/20.92 assert (zenon_L2199_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H23b.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.92 apply (zenon_L2194_); trivial.
% 20.75/20.92 apply (zenon_L2197_); trivial.
% 20.75/20.92 apply (zenon_L2198_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2199_ *)
% 20.75/20.92 assert (zenon_L2200_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H3b2 zenon_H1ec zenon_H219 zenon_H215 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_H149 zenon_H3f5 zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f3 zenon_H212 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1ed.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.92 apply (zenon_L1532_); trivial.
% 20.75/20.92 apply (zenon_L2193_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2200_ *)
% 20.75/20.92 assert (zenon_L2201_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H3b1 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H1ed zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H23b.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.92 apply (zenon_L251_); trivial.
% 20.75/20.92 apply (zenon_L2197_); trivial.
% 20.75/20.92 apply (zenon_L2198_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2201_ *)
% 20.75/20.92 assert (zenon_L2202_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H4a6 zenon_H3b0 zenon_H3f5 zenon_H3f3 zenon_H23b zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H137 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H5df zenon_H5de zenon_H5dd zenon_H48c zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H47b zenon_H3af.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.75/20.92 apply (zenon_L2199_); trivial.
% 20.75/20.92 apply (zenon_L2200_); trivial.
% 20.75/20.92 apply (zenon_L2201_); trivial.
% 20.75/20.92 apply (zenon_L730_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2202_ *)
% 20.75/20.92 assert (zenon_L2203_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> (ndr1_0) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H340 zenon_H342 zenon_H341 zenon_H212 zenon_H215 zenon_H463 zenon_Hc zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L1591_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2203_ *)
% 20.75/20.92 assert (zenon_L2204_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H47b zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_Hc zenon_H215 zenon_H212 zenon_H341 zenon_H342 zenon_H340 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_L2203_); trivial.
% 20.75/20.92 apply (zenon_L2198_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2204_ *)
% 20.75/20.92 assert (zenon_L2205_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H5df zenon_H5de zenon_H5dd zenon_H48c zenon_H47b.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.75/20.92 apply (zenon_L2204_); trivial.
% 20.75/20.92 apply (zenon_L730_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2205_ *)
% 20.75/20.92 assert (zenon_L2206_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H4a5 zenon_H3af zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H137 zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H23b zenon_H3f3 zenon_H3f5 zenon_H3b0 zenon_H4a6.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.75/20.92 apply (zenon_L2202_); trivial.
% 20.75/20.92 apply (zenon_L2205_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2206_ *)
% 20.75/20.92 assert (zenon_L2207_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> (ndr1_0) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_Hc zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L628_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2207_ *)
% 20.75/20.92 assert (zenon_L2208_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H332 zenon_H47b zenon_H215 zenon_H212 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H46d zenon_H219.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_L2207_); trivial.
% 20.75/20.92 apply (zenon_L2198_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2208_ *)
% 20.75/20.92 assert (zenon_L2209_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> (ndr1_0) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H156 zenon_H158 zenon_H212 zenon_H215 zenon_H463 zenon_Hc zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L1565_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2209_ *)
% 20.75/20.92 assert (zenon_L2210_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H23a zenon_H47b zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.92 apply (zenon_L2209_); trivial.
% 20.75/20.92 apply (zenon_L2198_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2210_ *)
% 20.75/20.92 assert (zenon_L2211_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H41a zenon_Hc zenon_H5de zenon_H5df zenon_H5dd.
% 20.75/20.92 generalize (zenon_H41a (a1041)). zenon_intro zenon_H62d.
% 20.75/20.92 apply (zenon_imply_s _ _ zenon_H62d); [ zenon_intro zenon_Hb | zenon_intro zenon_H62e ].
% 20.75/20.92 exact (zenon_Hb zenon_Hc).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H62e); [ zenon_intro zenon_H5e5 | zenon_intro zenon_H62f ].
% 20.75/20.92 exact (zenon_H5de zenon_H5e5).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H62f); [ zenon_intro zenon_H5e3 | zenon_intro zenon_H5e4 ].
% 20.75/20.92 exact (zenon_H5e3 zenon_H5df).
% 20.75/20.92 exact (zenon_H5dd zenon_H5e4).
% 20.75/20.92 (* end of lemma zenon_L2211_ *)
% 20.75/20.92 assert (zenon_L2212_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp58)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H263 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_Hc zenon_H5de zenon_H5df zenon_H5dd.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.75/20.92 apply (zenon_L523_); trivial.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.75/20.92 apply (zenon_L1102_); trivial.
% 20.75/20.92 apply (zenon_L2211_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2212_ *)
% 20.75/20.92 assert (zenon_L2213_ : (forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84)))))) -> (ndr1_0) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1b6 zenon_Hc zenon_H5dd zenon_H5de zenon_H5df.
% 20.75/20.92 generalize (zenon_H1b6 (a1041)). zenon_intro zenon_H630.
% 20.75/20.92 apply (zenon_imply_s _ _ zenon_H630); [ zenon_intro zenon_Hb | zenon_intro zenon_H631 ].
% 20.75/20.92 exact (zenon_Hb zenon_Hc).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H631); [ zenon_intro zenon_H5e4 | zenon_intro zenon_H632 ].
% 20.75/20.92 exact (zenon_H5dd zenon_H5e4).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H632); [ zenon_intro zenon_H5e5 | zenon_intro zenon_H5e3 ].
% 20.75/20.92 exact (zenon_H5de zenon_H5e5).
% 20.75/20.92 exact (zenon_H5e3 zenon_H5df).
% 20.75/20.92 (* end of lemma zenon_L2213_ *)
% 20.75/20.92 assert (zenon_L2214_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp35)) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H282 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H1bc.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.75/20.92 apply (zenon_L996_); trivial.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.75/20.92 apply (zenon_L2213_); trivial.
% 20.75/20.92 exact (zenon_H1bc zenon_H1bd).
% 20.75/20.92 (* end of lemma zenon_L2214_ *)
% 20.75/20.92 assert (zenon_L2215_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H285 zenon_H1c8 zenon_H1bc zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H5de zenon_H5df zenon_H5dd zenon_H423.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.75/20.92 apply (zenon_L2212_); trivial.
% 20.75/20.92 apply (zenon_L2214_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2215_ *)
% 20.75/20.92 assert (zenon_L2216_ : (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13))))) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H5ac zenon_Hc zenon_H633 zenon_H5de zenon_H5dd zenon_H5df.
% 20.75/20.92 generalize (zenon_H5ac (a1041)). zenon_intro zenon_H634.
% 20.75/20.92 apply (zenon_imply_s _ _ zenon_H634); [ zenon_intro zenon_Hb | zenon_intro zenon_H635 ].
% 20.75/20.92 exact (zenon_Hb zenon_Hc).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H635); [ zenon_intro zenon_H637 | zenon_intro zenon_H636 ].
% 20.75/20.92 generalize (zenon_H633 (a1041)). zenon_intro zenon_H638.
% 20.75/20.92 apply (zenon_imply_s _ _ zenon_H638); [ zenon_intro zenon_Hb | zenon_intro zenon_H639 ].
% 20.75/20.92 exact (zenon_Hb zenon_Hc).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H639); [ zenon_intro zenon_H63a | zenon_intro zenon_H5e2 ].
% 20.75/20.92 exact (zenon_H637 zenon_H63a).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H5e2); [ zenon_intro zenon_H5e5 | zenon_intro zenon_H5e4 ].
% 20.75/20.92 exact (zenon_H5de zenon_H5e5).
% 20.75/20.92 exact (zenon_H5dd zenon_H5e4).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H636); [ zenon_intro zenon_H5e3 | zenon_intro zenon_H5e5 ].
% 20.75/20.92 exact (zenon_H5e3 zenon_H5df).
% 20.75/20.92 exact (zenon_H5de zenon_H5e5).
% 20.75/20.92 (* end of lemma zenon_L2216_ *)
% 20.75/20.92 assert (zenon_L2217_ : (~(hskp9)) -> (hskp9) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H63b zenon_H63c.
% 20.75/20.92 exact (zenon_H63b zenon_H63c).
% 20.75/20.92 (* end of lemma zenon_L2217_ *)
% 20.75/20.92 assert (zenon_L2218_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(c1_1 (a1045))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H63d zenon_Hc zenon_H1a2 zenon_H1a0 zenon_H1be.
% 20.75/20.92 generalize (zenon_H63d (a1045)). zenon_intro zenon_H63e.
% 20.75/20.92 apply (zenon_imply_s _ _ zenon_H63e); [ zenon_intro zenon_Hb | zenon_intro zenon_H63f ].
% 20.75/20.92 exact (zenon_Hb zenon_Hc).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H63f); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1c1 ].
% 20.75/20.92 exact (zenon_H1a2 zenon_H1a7).
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c2 ].
% 20.75/20.92 exact (zenon_H1a6 zenon_H1a0).
% 20.75/20.92 exact (zenon_H1be zenon_H1c2).
% 20.75/20.92 (* end of lemma zenon_L2218_ *)
% 20.75/20.92 assert (zenon_L2219_ : ((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c2_1 (a1056)) -> (c1_1 (a1056)) -> (c3_1 (a1056)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(c1_1 (a1045))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1f zenon_H640 zenon_H5df zenon_H5dd zenon_H5de zenon_Ha6 zenon_Ha5 zenon_Ha7 zenon_H5b0 zenon_H63b zenon_H1a2 zenon_H1a0 zenon_H1be.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hc. zenon_intro zenon_H21.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H633 | zenon_intro zenon_H641 ].
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 20.75/20.92 apply (zenon_L213_); trivial.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 20.75/20.92 apply (zenon_L1230_); trivial.
% 20.75/20.92 apply (zenon_L2216_); trivial.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H63c | zenon_intro zenon_H63d ].
% 20.75/20.92 exact (zenon_H63b zenon_H63c).
% 20.75/20.92 apply (zenon_L2218_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2219_ *)
% 20.75/20.92 assert (zenon_L2220_ : ((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(c1_1 (a1045))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(hskp9)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_Hbf zenon_H2e zenon_H640 zenon_H1be zenon_H1a0 zenon_H1a2 zenon_H63b zenon_H5de zenon_H5dd zenon_H5df zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ].
% 20.75/20.92 apply (zenon_L7_); trivial.
% 20.75/20.92 apply (zenon_L2219_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2220_ *)
% 20.75/20.92 assert (zenon_L2221_ : ((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(c1_1 (a1045))) -> (c3_1 (a1045)) -> (~(c0_1 (a1045))) -> (~(hskp9)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H214 zenon_Hc5 zenon_H640 zenon_H1be zenon_H1a0 zenon_H1a2 zenon_H63b zenon_H5de zenon_H5dd zenon_H5df zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H46d zenon_H2e zenon_H8c zenon_Ha3.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.92 apply (zenon_L1714_); trivial.
% 20.75/20.92 apply (zenon_L2220_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2221_ *)
% 20.75/20.92 assert (zenon_L2222_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ce zenon_H219 zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H463 zenon_H1dd zenon_H230 zenon_H22e zenon_H22f zenon_H5eb zenon_H5ed zenon_H500 zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H46d zenon_H2e zenon_H8c zenon_Ha3 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.75/20.92 apply (zenon_L1421_); trivial.
% 20.75/20.92 apply (zenon_L2221_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2222_ *)
% 20.75/20.92 assert (zenon_L2223_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> (~(hskp38)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (ndr1_0) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp40)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H22e zenon_H2f zenon_H21a zenon_H21c zenon_H223 zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_Hc zenon_H463 zenon_H149 zenon_H230 zenon_H22f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H13b zenon_H46d zenon_H219.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.92 apply (zenon_L2195_); trivial.
% 20.75/20.92 apply (zenon_L2222_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2223_ *)
% 20.75/20.92 assert (zenon_L2224_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> (ndr1_0) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp38)) -> (c3_1 (a1031)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22f zenon_H230 zenon_H149 zenon_H463 zenon_Hc zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_Ha3 zenon_H8c zenon_H2e zenon_H223 zenon_H21c zenon_H21a zenon_H2f zenon_H22e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H10 zenon_H11 zenon_H12 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_H1ed.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.92 apply (zenon_L2223_); trivial.
% 20.75/20.92 apply (zenon_L2193_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2224_ *)
% 20.75/20.92 assert (zenon_L2225_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ce zenon_Hc5 zenon_H2e zenon_H640 zenon_H63b zenon_H5de zenon_H5dd zenon_H5df zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H93 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.75/20.92 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.92 apply (zenon_L39_); trivial.
% 20.75/20.92 apply (zenon_L2220_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2225_ *)
% 20.75/20.92 assert (zenon_L2226_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (ndr1_0) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp40)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.75/20.92 do 0 intro. intros zenon_H1ed zenon_Hc5 zenon_H2e zenon_H640 zenon_H63b zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H93 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_Ha3 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_Hc zenon_H463 zenon_H149 zenon_H230 zenon_H22f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H13b zenon_H46d zenon_H219.
% 20.75/20.92 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.75/20.92 apply (zenon_L2195_); trivial.
% 20.75/20.92 apply (zenon_L2225_); trivial.
% 20.75/20.92 (* end of lemma zenon_L2226_ *)
% 20.75/20.92 assert (zenon_L2227_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H22e zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H463 zenon_H149 zenon_H230 zenon_H22f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.75/20.93 apply (zenon_L2224_); trivial.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.75/20.93 apply (zenon_L2226_); trivial.
% 20.75/20.93 apply (zenon_L2193_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2227_ *)
% 20.75/20.93 assert (zenon_L2228_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H237 zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H423 zenon_H5dd zenon_H5df zenon_H5de zenon_H11 zenon_H12 zenon_H10 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H295 zenon_H297 zenon_H296 zenon_H1c8 zenon_H285.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.75/20.93 apply (zenon_L2215_); trivial.
% 20.75/20.93 apply (zenon_L2227_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2228_ *)
% 20.75/20.93 assert (zenon_L2229_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H285 zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.75/20.93 apply (zenon_L3_); trivial.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.75/20.93 apply (zenon_L2194_); trivial.
% 20.75/20.93 apply (zenon_L2228_); trivial.
% 20.75/20.93 apply (zenon_L2198_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2229_ *)
% 20.75/20.93 assert (zenon_L2230_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30))))) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H329 zenon_H32a zenon_H32b zenon_H403 zenon_Hc zenon_H5de zenon_H5df zenon_H5dd.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.75/20.93 apply (zenon_L523_); trivial.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.75/20.93 apply (zenon_L823_); trivial.
% 20.75/20.93 apply (zenon_L2211_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2230_ *)
% 20.75/20.93 assert (zenon_L2231_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H32a zenon_H329 zenon_H32b zenon_H40a zenon_Hc zenon_H5de zenon_H5df zenon_H5dd.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.75/20.93 apply (zenon_L523_); trivial.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.75/20.93 apply (zenon_L826_); trivial.
% 20.75/20.93 apply (zenon_L2211_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2231_ *)
% 20.75/20.93 assert (zenon_L2232_ : ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp47)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H40d zenon_H60 zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H32a zenon_H329 zenon_H32b zenon_Hc zenon_H5de zenon_H5df zenon_H5dd.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.75/20.93 apply (zenon_L2230_); trivial.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.75/20.93 exact (zenon_H60 zenon_H61).
% 20.75/20.93 apply (zenon_L2231_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2232_ *)
% 20.75/20.93 assert (zenon_L2233_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H332 zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H423 zenon_H5dd zenon_H5df zenon_H5de zenon_H295 zenon_H297 zenon_H296 zenon_H40d.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.75/20.93 apply (zenon_L2232_); trivial.
% 20.75/20.93 apply (zenon_L400_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2233_ *)
% 20.75/20.93 assert (zenon_L2234_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H2db zenon_H2df zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H285 zenon_H1c8 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H40d zenon_H273 zenon_H335.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.75/20.93 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.75/20.93 apply (zenon_L2229_); trivial.
% 20.75/20.93 apply (zenon_L2233_); trivial.
% 20.75/20.93 apply (zenon_L2210_); trivial.
% 20.75/20.93 (* end of lemma zenon_L2234_ *)
% 20.75/20.93 assert (zenon_L2235_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.75/20.93 do 0 intro. intros zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H25e zenon_H256 zenon_H255 zenon_H23f zenon_Hc zenon_H263.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.75/20.93 apply (zenon_L530_); trivial.
% 20.75/20.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.75/20.93 apply (zenon_L172_); trivial.
% 20.75/20.93 exact (zenon_H263 zenon_H264).
% 20.75/20.93 (* end of lemma zenon_L2235_ *)
% 20.75/20.93 assert (zenon_L2236_ : ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(hskp58)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H249 zenon_Hdd zenon_Hc zenon_H11 zenon_H12 zenon_H10 zenon_H255 zenon_H256 zenon_H25e zenon_H263 zenon_H265.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.85/20.93 apply (zenon_L2235_); trivial.
% 20.85/20.93 exact (zenon_Hdd zenon_Hde).
% 20.85/20.93 (* end of lemma zenon_L2236_ *)
% 20.85/20.93 assert (zenon_L2237_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_Hdd zenon_H249.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.93 apply (zenon_L2236_); trivial.
% 20.85/20.93 apply (zenon_L2214_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2237_ *)
% 20.85/20.93 assert (zenon_L2238_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H237 zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H249 zenon_Hdd zenon_H11 zenon_H12 zenon_H10 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.93 apply (zenon_L2237_); trivial.
% 20.85/20.93 apply (zenon_L2227_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2238_ *)
% 20.85/20.93 assert (zenon_L2239_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H23b zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H11 zenon_H12 zenon_H10 zenon_H25e zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hc zenon_Hdd zenon_H249.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.93 apply (zenon_L252_); trivial.
% 20.85/20.93 apply (zenon_L2238_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2239_ *)
% 20.85/20.93 assert (zenon_L2240_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.93 apply (zenon_L1498_); trivial.
% 20.85/20.93 apply (zenon_L1022_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2240_ *)
% 20.85/20.93 assert (zenon_L2241_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c1_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H25e zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H256 zenon_H255 zenon_Hdd zenon_H249.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.93 apply (zenon_L252_); trivial.
% 20.85/20.93 apply (zenon_L2240_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2241_ *)
% 20.85/20.93 assert (zenon_L2242_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_H249 zenon_Hdd zenon_H255 zenon_H256 zenon_H1c3 zenon_H1c7 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_H25e zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H48a zenon_H48c zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_H1ed zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.93 apply (zenon_L3_); trivial.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.93 apply (zenon_L2239_); trivial.
% 20.85/20.93 apply (zenon_L2241_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2242_ *)
% 20.85/20.93 assert (zenon_L2243_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H5de zenon_H5df zenon_H5dd zenon_H423.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.85/20.93 apply (zenon_L523_); trivial.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.85/20.93 apply (zenon_L526_); trivial.
% 20.85/20.93 apply (zenon_L2211_); trivial.
% 20.85/20.93 apply (zenon_L257_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2243_ *)
% 20.85/20.93 assert (zenon_L2244_ : ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (ndr1_0) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H423 zenon_H5dd zenon_H5df zenon_H5de zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_Hc zenon_Hae zenon_H2f9 zenon_H307.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.85/20.93 apply (zenon_L2243_); trivial.
% 20.85/20.93 apply (zenon_L305_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2244_ *)
% 20.85/20.93 assert (zenon_L2245_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.93 apply (zenon_L226_); trivial.
% 20.85/20.93 apply (zenon_L2191_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2245_ *)
% 20.85/20.93 assert (zenon_L2246_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H12e zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.93 apply (zenon_L2245_); trivial.
% 20.85/20.93 apply (zenon_L585_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2246_ *)
% 20.85/20.93 assert (zenon_L2247_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H307 zenon_H2f9 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H5de zenon_H5df zenon_H5dd zenon_H423 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.93 apply (zenon_L2244_); trivial.
% 20.85/20.93 apply (zenon_L2246_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2247_ *)
% 20.85/20.93 assert (zenon_L2248_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (ndr1_0) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_Hc zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.93 apply (zenon_L531_); trivial.
% 20.85/20.93 apply (zenon_L2214_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2248_ *)
% 20.85/20.93 assert (zenon_L2249_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H37c zenon_H23c zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.93 apply (zenon_L2248_); trivial.
% 20.85/20.93 apply (zenon_L1525_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2249_ *)
% 20.85/20.93 assert (zenon_L2250_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H478 zenon_H387 zenon_H23c zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.93 apply (zenon_L1505_); trivial.
% 20.85/20.93 apply (zenon_L2249_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2250_ *)
% 20.85/20.93 assert (zenon_L2251_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H358 zenon_H29e zenon_H2a6 zenon_H33e zenon_H132 zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H307 zenon_H2f9 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5de zenon_H5df zenon_H5dd zenon_H423 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c8 zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.93 apply (zenon_L3_); trivial.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.93 apply (zenon_L2247_); trivial.
% 20.85/20.93 apply (zenon_L2228_); trivial.
% 20.85/20.93 apply (zenon_L2250_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2251_ *)
% 20.85/20.93 assert (zenon_L2252_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H2db zenon_H2df zenon_H335 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hc8 zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H1c8 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H423 zenon_H5dd zenon_H5df zenon_H5de zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H48a zenon_H48c zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H132 zenon_H33e zenon_H2a6 zenon_H358 zenon_H387 zenon_H47b zenon_H328 zenon_Hdd zenon_H249 zenon_H2b9.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.93 apply (zenon_L2251_); trivial.
% 20.85/20.93 apply (zenon_L2233_); trivial.
% 20.85/20.93 apply (zenon_L223_); trivial.
% 20.85/20.93 apply (zenon_L2210_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2252_ *)
% 20.85/20.93 assert (zenon_L2253_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H23b zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H249 zenon_Hdd zenon_H11 zenon_H12 zenon_H10 zenon_H255 zenon_H256 zenon_H25e zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.93 apply (zenon_L251_); trivial.
% 20.85/20.93 apply (zenon_L2238_); trivial.
% 20.85/20.93 (* end of lemma zenon_L2253_ *)
% 20.85/20.93 assert (zenon_L2254_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.93 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H48a zenon_H48c zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_H1ed zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.93 apply (zenon_L3_); trivial.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.93 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.93 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_L2253_); trivial.
% 20.85/20.94 apply (zenon_L2198_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2254_ *)
% 20.85/20.94 assert (zenon_L2255_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H2d8 zenon_H2df zenon_H328 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_Hdd zenon_H249 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H48a zenon_H48c zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_H1ed zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H335.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.94 apply (zenon_L2254_); trivial.
% 20.85/20.94 apply (zenon_L2208_); trivial.
% 20.85/20.94 apply (zenon_L2210_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2255_ *)
% 20.85/20.94 assert (zenon_L2256_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H2e0 zenon_H2df zenon_H328 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_Hdd zenon_H249 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H149 zenon_H48a zenon_H48c zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_H1ed zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H335 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/20.94 apply (zenon_L1427_); trivial.
% 20.85/20.94 apply (zenon_L2255_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2256_ *)
% 20.85/20.94 assert (zenon_L2257_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H285 zenon_H1c8 zenon_H296 zenon_H297 zenon_H295 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5de zenon_H5df zenon_H5dd zenon_H423 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H48a zenon_H48c zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_H1ed zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.94 apply (zenon_L3_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.94 apply (zenon_L251_); trivial.
% 20.85/20.94 apply (zenon_L2228_); trivial.
% 20.85/20.94 apply (zenon_L2198_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2257_ *)
% 20.85/20.94 assert (zenon_L2258_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H3b1 zenon_H2de zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H40d zenon_H273 zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H149 zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H249 zenon_Hdd zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_H1c3 zenon_H1c7 zenon_H47b zenon_H328 zenon_H2df zenon_H2e0.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.94 apply (zenon_L2256_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.94 apply (zenon_L2257_); trivial.
% 20.85/20.94 apply (zenon_L2233_); trivial.
% 20.85/20.94 apply (zenon_L2210_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2258_ *)
% 20.85/20.94 assert (zenon_L2259_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1048)) -> (c3_1 (a1048)) -> (~(c2_1 (a1048))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H4a5 zenon_H3af zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H137 zenon_H183 zenon_H8f zenon_H8c zenon_H5ca zenon_H5cb zenon_H5cc zenon_H166 zenon_Ha3 zenon_H23b zenon_H319 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_H3b0 zenon_H4a6.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.94 apply (zenon_L2194_); trivial.
% 20.85/20.94 apply (zenon_L1370_); trivial.
% 20.85/20.94 apply (zenon_L2198_); trivial.
% 20.85/20.94 apply (zenon_L2200_); trivial.
% 20.85/20.94 apply (zenon_L1388_); trivial.
% 20.85/20.94 apply (zenon_L730_); trivial.
% 20.85/20.94 apply (zenon_L1413_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2259_ *)
% 20.85/20.94 assert (zenon_L2260_ : ((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp5)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H5d6 zenon_H4c0 zenon_H328 zenon_H6 zenon_H5 zenon_H335 zenon_H2e0 zenon_H1dd zenon_H273 zenon_Hc8 zenon_H121 zenon_H11c zenon_Hfc zenon_Hfb zenon_Hf1 zenon_Hdd zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_H2df zenon_H6c zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H249 zenon_H2b9 zenon_H2de zenon_H4a6 zenon_H3b0 zenon_H3f5 zenon_H5b2 zenon_H3f3 zenon_H319 zenon_H23b zenon_Ha3 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H137 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c7 zenon_H5df zenon_H5de zenon_H5dd zenon_H48c zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H47b zenon_H3af zenon_H4a5.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_Hc. zenon_intro zenon_H5d7.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H5ca. zenon_intro zenon_H5d8.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H5cb. zenon_intro zenon_H5cc.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.85/20.94 apply (zenon_L2259_); trivial.
% 20.85/20.94 apply (zenon_L1966_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2260_ *)
% 20.85/20.94 assert (zenon_L2261_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7))))) -> (ndr1_0) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H592 zenon_Hc zenon_H5dd zenon_H5df zenon_H5de.
% 20.85/20.94 generalize (zenon_H592 (a1041)). zenon_intro zenon_H642.
% 20.85/20.94 apply (zenon_imply_s _ _ zenon_H642); [ zenon_intro zenon_Hb | zenon_intro zenon_H643 ].
% 20.85/20.94 exact (zenon_Hb zenon_Hc).
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H643); [ zenon_intro zenon_H5e4 | zenon_intro zenon_H636 ].
% 20.85/20.94 exact (zenon_H5dd zenon_H5e4).
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H636); [ zenon_intro zenon_H5e3 | zenon_intro zenon_H5e5 ].
% 20.85/20.94 exact (zenon_H5e3 zenon_H5df).
% 20.85/20.94 exact (zenon_H5de zenon_H5e5).
% 20.85/20.94 (* end of lemma zenon_L2261_ *)
% 20.85/20.94 assert (zenon_L2262_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (ndr1_0) -> (~(hskp34)) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H59a zenon_H5de zenon_H5df zenon_H5dd zenon_H4ab zenon_H4ac zenon_H4aa zenon_Hc zenon_H338.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H59a); [ zenon_intro zenon_H592 | zenon_intro zenon_H59b ].
% 20.85/20.94 apply (zenon_L2261_); trivial.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H59b); [ zenon_intro zenon_H596 | zenon_intro zenon_H339 ].
% 20.85/20.94 apply (zenon_L1151_); trivial.
% 20.85/20.94 exact (zenon_H338 zenon_H339).
% 20.85/20.94 (* end of lemma zenon_L2262_ *)
% 20.85/20.94 assert (zenon_L2263_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp33)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H37c zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H1c5 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.94 apply (zenon_L226_); trivial.
% 20.85/20.94 apply (zenon_L1674_); trivial.
% 20.85/20.94 apply (zenon_L1396_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2263_ *)
% 20.85/20.94 assert (zenon_L2264_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp33)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (ndr1_0) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H387 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H1c5 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_Hc zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.94 apply (zenon_L2262_); trivial.
% 20.85/20.94 apply (zenon_L2263_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2264_ *)
% 20.85/20.94 assert (zenon_L2265_ : ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1034))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (ndr1_0) -> (~(hskp35)) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H1c8 zenon_H125 zenon_H127 zenon_H126 zenon_H24a zenon_H5df zenon_H5de zenon_H5dd zenon_Hc zenon_H1bc.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.85/20.94 generalize (zenon_H1a9 (a1034)). zenon_intro zenon_H644.
% 20.85/20.94 apply (zenon_imply_s _ _ zenon_H644); [ zenon_intro zenon_Hb | zenon_intro zenon_H645 ].
% 20.85/20.94 exact (zenon_Hb zenon_Hc).
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H645); [ zenon_intro zenon_H286 | zenon_intro zenon_H646 ].
% 20.85/20.94 apply (zenon_L189_); trivial.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H646); [ zenon_intro zenon_H12b | zenon_intro zenon_H12c ].
% 20.85/20.94 exact (zenon_H12b zenon_H127).
% 20.85/20.94 exact (zenon_H125 zenon_H12c).
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.85/20.94 apply (zenon_L2213_); trivial.
% 20.85/20.94 exact (zenon_H1bc zenon_H1bd).
% 20.85/20.94 (* end of lemma zenon_L2265_ *)
% 20.85/20.94 assert (zenon_L2266_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H12e zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.85/20.94 apply (zenon_L2265_); trivial.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.85/20.94 apply (zenon_L458_); trivial.
% 20.85/20.94 exact (zenon_H263 zenon_H264).
% 20.85/20.94 apply (zenon_L2214_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2266_ *)
% 20.85/20.94 assert (zenon_L2267_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H132 zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.94 apply (zenon_L217_); trivial.
% 20.85/20.94 apply (zenon_L2266_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2267_ *)
% 20.85/20.94 assert (zenon_L2268_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H37c zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H22e zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H230 zenon_H22f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_H132.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.94 apply (zenon_L2267_); trivial.
% 20.85/20.94 apply (zenon_L2227_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2268_ *)
% 20.85/20.94 assert (zenon_L2269_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H2ab zenon_H275 zenon_H297 zenon_H296 zenon_H295 zenon_H265 zenon_H1c8 zenon_H285 zenon_H132 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.94 apply (zenon_L2262_); trivial.
% 20.85/20.94 apply (zenon_L2268_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2269_ *)
% 20.85/20.94 assert (zenon_L2270_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> (ndr1_0) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H219 zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc zenon_H5df zenon_H5de zenon_H5dd zenon_H48a zenon_H48c.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.94 apply (zenon_L1421_); trivial.
% 20.85/20.94 apply (zenon_L1493_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2270_ *)
% 20.85/20.94 assert (zenon_L2271_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H47c zenon_H47b zenon_H215 zenon_H212 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H46d zenon_H219.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_L2270_); trivial.
% 20.85/20.94 apply (zenon_L2198_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2271_ *)
% 20.85/20.94 assert (zenon_L2272_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (~(hskp36)) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_Hc0 zenon_H451 zenon_Hae zenon_H452 zenon_H450 zenon_Hc zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.94 apply (zenon_L610_); trivial.
% 20.85/20.94 apply (zenon_L2214_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2272_ *)
% 20.85/20.94 assert (zenon_L2273_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H132 zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H5dd zenon_H5de zenon_H5df zenon_H1bc zenon_H1c8 zenon_H285.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.94 apply (zenon_L2272_); trivial.
% 20.85/20.94 apply (zenon_L2266_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2273_ *)
% 20.85/20.94 assert (zenon_L2274_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c3_1 (a1031)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H37c zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H22e zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H230 zenon_H22f zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H265 zenon_H132.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.94 apply (zenon_L2273_); trivial.
% 20.85/20.94 apply (zenon_L2227_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2274_ *)
% 20.85/20.94 assert (zenon_L2275_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_Hc8 zenon_H1ed zenon_Hc5 zenon_H640 zenon_H63b zenon_H5b0 zenon_H12 zenon_H11 zenon_H10 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H8c zenon_Ha3 zenon_H48c zenon_H48a zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H285 zenon_H1c8 zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H265 zenon_H132 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.94 apply (zenon_L2262_); trivial.
% 20.85/20.94 apply (zenon_L2274_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2275_ *)
% 20.85/20.94 assert (zenon_L2276_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H3af zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H137 zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H23b zenon_H2e0 zenon_H293 zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H33 zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20 zenon_H2df zenon_H484 zenon_Hc0 zenon_H33e zenon_H358 zenon_H335 zenon_H5 zenon_H6 zenon_H23c zenon_H640 zenon_H63b zenon_H5b0 zenon_Hfb zenon_Hcc zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H2ab zenon_H1c8 zenon_H132 zenon_H59a zenon_H203 zenon_H56b zenon_H387 zenon_H435 zenon_H2a6 zenon_H328 zenon_H485 zenon_H2b9 zenon_H2de zenon_H3b0.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.85/20.94 apply (zenon_L2199_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.94 apply (zenon_L735_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.94 apply (zenon_L3_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.94 apply (zenon_L2264_); trivial.
% 20.85/20.94 apply (zenon_L2269_); trivial.
% 20.85/20.94 apply (zenon_L1468_); trivial.
% 20.85/20.94 apply (zenon_L2208_); trivial.
% 20.85/20.94 apply (zenon_L2271_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.94 apply (zenon_L3_); trivial.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.94 apply (zenon_L216_); trivial.
% 20.85/20.94 apply (zenon_L2275_); trivial.
% 20.85/20.94 apply (zenon_L2250_); trivial.
% 20.85/20.94 apply (zenon_L2208_); trivial.
% 20.85/20.94 apply (zenon_L223_); trivial.
% 20.85/20.94 apply (zenon_L2210_); trivial.
% 20.85/20.94 apply (zenon_L206_); trivial.
% 20.85/20.94 apply (zenon_L2201_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2276_ *)
% 20.85/20.94 assert (zenon_L2277_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.85/20.94 apply (zenon_L1197_); trivial.
% 20.85/20.94 apply (zenon_L1970_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2277_ *)
% 20.85/20.94 assert (zenon_L2278_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.94 apply (zenon_L2277_); trivial.
% 20.85/20.94 apply (zenon_L1244_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2278_ *)
% 20.85/20.94 assert (zenon_L2279_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H237 zenon_H387 zenon_H5b0 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H49b zenon_H49a zenon_H499 zenon_H1ec zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.94 apply (zenon_L1977_); trivial.
% 20.85/20.94 apply (zenon_L2278_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2279_ *)
% 20.85/20.94 assert (zenon_L2280_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H470 zenon_H471 zenon_H46f zenon_H1dd zenon_H121.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.94 apply (zenon_L2119_); trivial.
% 20.85/20.94 apply (zenon_L1244_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2280_ *)
% 20.85/20.94 assert (zenon_L2281_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H237 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.94 apply (zenon_L1498_); trivial.
% 20.85/20.94 apply (zenon_L2280_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2281_ *)
% 20.85/20.94 assert (zenon_L2282_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.94 apply (zenon_L216_); trivial.
% 20.85/20.94 apply (zenon_L2281_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2282_ *)
% 20.85/20.94 assert (zenon_L2283_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H332 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H1dd zenon_H358 zenon_H1ec zenon_H499 zenon_H49a zenon_H49b zenon_H273 zenon_H5b0 zenon_H387 zenon_H23b.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.94 apply (zenon_L216_); trivial.
% 20.85/20.94 apply (zenon_L2279_); trivial.
% 20.85/20.94 apply (zenon_L2282_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2283_ *)
% 20.85/20.94 assert (zenon_L2284_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_Ha3 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H8f zenon_H183 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H470 zenon_H471 zenon_H46f zenon_H1dd zenon_H121.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.94 apply (zenon_L2119_); trivial.
% 20.85/20.94 apply (zenon_L1251_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2284_ *)
% 20.85/20.94 assert (zenon_L2285_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H478 zenon_H387 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H183 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H121 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.94 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.94 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.94 apply (zenon_L1505_); trivial.
% 20.85/20.94 apply (zenon_L2284_); trivial.
% 20.85/20.94 (* end of lemma zenon_L2285_ *)
% 20.85/20.94 assert (zenon_L2286_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.94 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H49b zenon_H49a zenon_H499 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L1975_); trivial.
% 20.85/20.95 apply (zenon_L2285_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2286_ *)
% 20.85/20.95 assert (zenon_L2287_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> (~(hskp10)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H49b zenon_H49a zenon_H499 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_Hf1 zenon_Hdd zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_L2286_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2287_ *)
% 20.85/20.95 assert (zenon_L2288_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (ndr1_0) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_Hc zenon_H2ba zenon_H2bc zenon_H2bb zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.85/20.95 apply (zenon_L1257_); trivial.
% 20.85/20.95 apply (zenon_L214_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2288_ *)
% 20.85/20.95 assert (zenon_L2289_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c0_1 (a1078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H2db zenon_H2b9 zenon_H249 zenon_Hdd zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H2bb zenon_H2bc zenon_H2ba zenon_H2a6 zenon_Hc5.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.95 apply (zenon_L2288_); trivial.
% 20.85/20.95 apply (zenon_L223_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2289_ *)
% 20.85/20.95 assert (zenon_L2290_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H2b9 zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H2a6 zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H249 zenon_Hdd zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H5b zenon_Hc9 zenon_H293 zenon_H2e0.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.95 apply (zenon_L1530_); trivial.
% 20.85/20.95 apply (zenon_L2289_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2290_ *)
% 20.85/20.95 assert (zenon_L2291_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.95 apply (zenon_L2277_); trivial.
% 20.85/20.95 apply (zenon_L1204_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2291_ *)
% 20.85/20.95 assert (zenon_L2292_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L251_); trivial.
% 20.85/20.95 apply (zenon_L2291_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2292_ *)
% 20.85/20.95 assert (zenon_L2293_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H2d8 zenon_H47b zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H273 zenon_H5b0 zenon_Hc5 zenon_Hc8 zenon_H23b.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L2292_); trivial.
% 20.85/20.95 apply (zenon_L2120_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2293_ *)
% 20.85/20.95 assert (zenon_L2294_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H2e0 zenon_H47b zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H1cf zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H273 zenon_H5b0 zenon_Hc5 zenon_Hc8 zenon_H23b zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/20.95 apply (zenon_L732_); trivial.
% 20.85/20.95 apply (zenon_L2293_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2294_ *)
% 20.85/20.95 assert (zenon_L2295_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H332 zenon_H47b zenon_H5b zenon_H39 zenon_H3b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H1ec zenon_H499 zenon_H49a zenon_H49b zenon_H273 zenon_H5b0 zenon_H387 zenon_H23b.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L251_); trivial.
% 20.85/20.95 apply (zenon_L2279_); trivial.
% 20.85/20.95 apply (zenon_L2282_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2295_ *)
% 20.85/20.95 assert (zenon_L2296_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.95 apply (zenon_L2277_); trivial.
% 20.85/20.95 apply (zenon_L1226_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2296_ *)
% 20.85/20.95 assert (zenon_L2297_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H5b0 zenon_H273 zenon_H2e zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.95 apply (zenon_L2277_); trivial.
% 20.85/20.95 apply (zenon_L1237_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2297_ *)
% 20.85/20.95 assert (zenon_L2298_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H237 zenon_H387 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H2e zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2296_); trivial.
% 20.85/20.95 apply (zenon_L2297_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2298_ *)
% 20.85/20.95 assert (zenon_L2299_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H23b zenon_H387 zenon_Hf zenon_H10 zenon_H11 zenon_H12 zenon_H9 zenon_H2e zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L251_); trivial.
% 20.85/20.95 apply (zenon_L2298_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2299_ *)
% 20.85/20.95 assert (zenon_L2300_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H325 zenon_H47b zenon_H1dd zenon_H33e zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121 zenon_H2e zenon_H9 zenon_Hf zenon_H387 zenon_H23b.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L2299_); trivial.
% 20.85/20.95 apply (zenon_L2136_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2300_ *)
% 20.85/20.95 assert (zenon_L2301_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H237 zenon_H387 zenon_H329 zenon_H32a zenon_H32b zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2296_); trivial.
% 20.85/20.95 apply (zenon_L2278_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2301_ *)
% 20.85/20.95 assert (zenon_L2302_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H23b zenon_H387 zenon_H329 zenon_H32a zenon_H32b zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L251_); trivial.
% 20.85/20.95 apply (zenon_L2301_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2302_ *)
% 20.85/20.95 assert (zenon_L2303_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_H329 zenon_H32a zenon_H32b zenon_H273 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L251_); trivial.
% 20.85/20.95 apply (zenon_L2281_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2303_ *)
% 20.85/20.95 assert (zenon_L2304_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H2b6 zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H387 zenon_Hf zenon_H9 zenon_H2e zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H358 zenon_H33e zenon_H1dd zenon_H47b zenon_H328.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_L2300_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L2302_); trivial.
% 20.85/20.95 apply (zenon_L2303_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2304_ *)
% 20.85/20.95 assert (zenon_L2305_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.95 apply (zenon_L2277_); trivial.
% 20.85/20.95 apply (zenon_L1251_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2305_ *)
% 20.85/20.95 assert (zenon_L2306_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H237 zenon_H387 zenon_H156 zenon_H157 zenon_H158 zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2296_); trivial.
% 20.85/20.95 apply (zenon_L2305_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2306_ *)
% 20.85/20.95 assert (zenon_L2307_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H23b zenon_H387 zenon_H156 zenon_H157 zenon_H158 zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L251_); trivial.
% 20.85/20.95 apply (zenon_L2306_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2307_ *)
% 20.85/20.95 assert (zenon_L2308_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H8c zenon_H470 zenon_H471 zenon_H46f zenon_H1dd zenon_H121.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.95 apply (zenon_L2119_); trivial.
% 20.85/20.95 apply (zenon_L1226_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2308_ *)
% 20.85/20.95 assert (zenon_L2309_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H478 zenon_H387 zenon_Ha3 zenon_H156 zenon_H157 zenon_H158 zenon_H166 zenon_H8f zenon_H183 zenon_H121 zenon_H1dd zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc5 zenon_Hc8.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2308_); trivial.
% 20.85/20.95 apply (zenon_L2284_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2309_ *)
% 20.85/20.95 assert (zenon_L2310_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c2_1 (a1083)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H5b0 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121 zenon_H158 zenon_H157 zenon_H156 zenon_H387 zenon_H23b.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L2307_); trivial.
% 20.85/20.95 apply (zenon_L2309_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2310_ *)
% 20.85/20.95 assert (zenon_L2311_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H4a2 zenon_H3af zenon_H59a zenon_H2de zenon_H2b9 zenon_H328 zenon_H47b zenon_Hf zenon_H5b0 zenon_H2e zenon_H33e zenon_H1dd zenon_H358 zenon_H56b zenon_H387 zenon_H2a6 zenon_H1c3 zenon_H1c7 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H1ed zenon_Hf1 zenon_H203 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H335 zenon_H2df zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H132 zenon_H1eb zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H31 zenon_H33 zenon_H137 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc0 zenon_Hc5 zenon_Hc8 zenon_H293 zenon_H2e0 zenon_H40d zenon_H3b0.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.95 apply (zenon_L733_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L1975_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L1507_); trivial.
% 20.85/20.95 apply (zenon_L2135_); trivial.
% 20.85/20.95 apply (zenon_L2283_); trivial.
% 20.85/20.95 apply (zenon_L223_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.95 apply (zenon_L2287_); trivial.
% 20.85/20.95 apply (zenon_L2283_); trivial.
% 20.85/20.95 apply (zenon_L223_); trivial.
% 20.85/20.95 apply (zenon_L206_); trivial.
% 20.85/20.95 apply (zenon_L2290_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.95 apply (zenon_L2294_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_L1975_); trivial.
% 20.85/20.95 apply (zenon_L2136_); trivial.
% 20.85/20.95 apply (zenon_L2295_); trivial.
% 20.85/20.95 apply (zenon_L2304_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.95 apply (zenon_L2287_); trivial.
% 20.85/20.95 apply (zenon_L2295_); trivial.
% 20.85/20.95 apply (zenon_L2310_); trivial.
% 20.85/20.95 apply (zenon_L206_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2311_ *)
% 20.85/20.95 assert (zenon_L2312_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H285 zenon_H1c8 zenon_H265 zenon_H25e zenon_H256 zenon_H255 zenon_Hdd zenon_H249 zenon_Ha3 zenon_H8c zenon_H2e zenon_H1dd zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8f zenon_H93 zenon_H5b0 zenon_H63b zenon_H640 zenon_Hc5 zenon_Hc8 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.95 apply (zenon_L2194_); trivial.
% 20.85/20.95 apply (zenon_L2238_); trivial.
% 20.85/20.95 apply (zenon_L2198_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2312_ *)
% 20.85/20.95 assert (zenon_L2313_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H325 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2262_); trivial.
% 20.85/20.95 apply (zenon_L916_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2313_ *)
% 20.85/20.95 assert (zenon_L2314_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_L2313_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2314_ *)
% 20.85/20.95 assert (zenon_L2315_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H332 zenon_H387 zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2262_); trivial.
% 20.85/20.95 apply (zenon_L611_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2315_ *)
% 20.85/20.95 assert (zenon_L2316_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H481 zenon_H335 zenon_H132 zenon_Hc0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H5 zenon_H6 zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5de zenon_H5df zenon_H5dd zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.95 apply (zenon_L2314_); trivial.
% 20.85/20.95 apply (zenon_L2315_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2316_ *)
% 20.85/20.95 assert (zenon_L2317_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H325 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.95 apply (zenon_L2262_); trivial.
% 20.85/20.95 apply (zenon_L579_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2317_ *)
% 20.85/20.95 assert (zenon_L2318_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.95 apply (zenon_L3_); trivial.
% 20.85/20.95 apply (zenon_L2317_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2318_ *)
% 20.85/20.95 assert (zenon_L2319_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp35)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> (~(hskp33)) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H1ce zenon_H1c7 zenon_H1bc zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H1c3 zenon_H1c5.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H19f | zenon_intro zenon_H1c9 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.85/20.95 apply (zenon_L103_); trivial.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.85/20.95 apply (zenon_L2213_); trivial.
% 20.85/20.95 exact (zenon_H1bc zenon_H1bd).
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ].
% 20.85/20.95 exact (zenon_H1c3 zenon_H1c4).
% 20.85/20.95 exact (zenon_H1c5 zenon_H1c6).
% 20.85/20.95 (* end of lemma zenon_L2319_ *)
% 20.85/20.95 assert (zenon_L2320_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H1ed zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5dd zenon_H5de zenon_H5df zenon_H1bc zenon_H1c8 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.95 apply (zenon_L226_); trivial.
% 20.85/20.95 apply (zenon_L2319_); trivial.
% 20.85/20.95 (* end of lemma zenon_L2320_ *)
% 20.85/20.95 assert (zenon_L2321_ : ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp55)) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (ndr1_0) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp21)) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H3b zenon_H37 zenon_Hff zenon_H100 zenon_H101 zenon_Hc zenon_H1df zenon_H1e1 zenon_H1e0 zenon_H8c zenon_H39.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ].
% 20.85/20.95 exact (zenon_H37 zenon_H38).
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.85/20.95 apply (zenon_L61_); trivial.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.85/20.95 apply (zenon_L463_); trivial.
% 20.85/20.95 apply (zenon_L64_); trivial.
% 20.85/20.95 exact (zenon_H39 zenon_H3a).
% 20.85/20.95 (* end of lemma zenon_L2321_ *)
% 20.85/20.95 assert (zenon_L2322_ : ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c0_1 (a1081))) -> (c3_1 (a1081)) -> (c1_1 (a1081)) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (ndr1_0) -> (~(hskp35)) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H1c8 zenon_H51 zenon_H50 zenon_H4f zenon_H24a zenon_H5df zenon_H5de zenon_H5dd zenon_Hc zenon_H1bc.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1ca ].
% 20.85/20.95 generalize (zenon_H1a9 (a1081)). zenon_intro zenon_H618.
% 20.85/20.95 apply (zenon_imply_s _ _ zenon_H618); [ zenon_intro zenon_Hb | zenon_intro zenon_H619 ].
% 20.85/20.95 exact (zenon_Hb zenon_Hc).
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H619); [ zenon_intro zenon_H24b | zenon_intro zenon_H61a ].
% 20.85/20.95 apply (zenon_L169_); trivial.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H61a); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ].
% 20.85/20.95 exact (zenon_H57 zenon_H50).
% 20.85/20.95 exact (zenon_H51 zenon_H58).
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1bd ].
% 20.85/20.95 apply (zenon_L2213_); trivial.
% 20.85/20.95 exact (zenon_H1bc zenon_H1bd).
% 20.85/20.95 (* end of lemma zenon_L2322_ *)
% 20.85/20.95 assert (zenon_L2323_ : ((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.85/20.95 do 0 intro. intros zenon_H4b zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Hc. zenon_intro zenon_H4d.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 20.85/20.95 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.85/20.95 apply (zenon_L2322_); trivial.
% 20.85/20.95 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.85/20.95 apply (zenon_L458_); trivial.
% 20.85/20.95 exact (zenon_H263 zenon_H264).
% 20.85/20.95 apply (zenon_L2214_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2323_ *)
% 20.85/20.96 assert (zenon_L2324_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H1e8 zenon_H121 zenon_H5b zenon_H285 zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H39 zenon_H3b zenon_H436 zenon_H433 zenon_H435.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.85/20.96 apply (zenon_L559_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4b ].
% 20.85/20.96 apply (zenon_L2321_); trivial.
% 20.85/20.96 apply (zenon_L2323_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2324_ *)
% 20.85/20.96 assert (zenon_L2325_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H1ec zenon_H121 zenon_H5b zenon_H285 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H39 zenon_H3b zenon_H436 zenon_H433 zenon_H435 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H1c8 zenon_H1bc zenon_H5df zenon_H5de zenon_H5dd zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H1ed.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.96 apply (zenon_L2320_); trivial.
% 20.85/20.96 apply (zenon_L2324_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2325_ *)
% 20.85/20.96 assert (zenon_L2326_ : (forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81)))))) -> (ndr1_0) -> (c3_1 (a1033)) -> (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2ec zenon_Hc zenon_H21a zenon_H84 zenon_H21c zenon_H223.
% 20.85/20.96 generalize (zenon_H2ec (a1033)). zenon_intro zenon_H647.
% 20.85/20.96 apply (zenon_imply_s _ _ zenon_H647); [ zenon_intro zenon_Hb | zenon_intro zenon_H648 ].
% 20.85/20.96 exact (zenon_Hb zenon_Hc).
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H648); [ zenon_intro zenon_H220 | zenon_intro zenon_H649 ].
% 20.85/20.96 exact (zenon_H220 zenon_H21a).
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H649); [ zenon_intro zenon_H222 | zenon_intro zenon_H227 ].
% 20.85/20.96 generalize (zenon_H84 (a1033)). zenon_intro zenon_H228.
% 20.85/20.96 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_Hb | zenon_intro zenon_H229 ].
% 20.85/20.96 exact (zenon_Hb zenon_Hc).
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21b | zenon_intro zenon_H22a ].
% 20.85/20.96 exact (zenon_H21b zenon_H222).
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H221 | zenon_intro zenon_H220 ].
% 20.85/20.96 exact (zenon_H221 zenon_H21c).
% 20.85/20.96 exact (zenon_H220 zenon_H21a).
% 20.85/20.96 exact (zenon_H227 zenon_H223).
% 20.85/20.96 (* end of lemma zenon_L2326_ *)
% 20.85/20.96 assert (zenon_L2327_ : ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (c3_1 (a1033)) -> (~(hskp59)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H308 zenon_H223 zenon_H21c zenon_H84 zenon_H21a zenon_H2f0 zenon_Hc zenon_H23f zenon_H255 zenon_H256.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ec | zenon_intro zenon_H309 ].
% 20.85/20.96 apply (zenon_L2326_); trivial.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 20.85/20.96 exact (zenon_H2f0 zenon_H2f1).
% 20.85/20.96 apply (zenon_L255_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2327_ *)
% 20.85/20.96 assert (zenon_L2328_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W))))) -> (~(hskp59)) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H8c zenon_H256 zenon_H255 zenon_H23f zenon_H2f0 zenon_H21a zenon_H21c zenon_H223 zenon_H308 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.85/20.96 apply (zenon_L61_); trivial.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.85/20.96 apply (zenon_L2327_); trivial.
% 20.85/20.96 apply (zenon_L64_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2328_ *)
% 20.85/20.96 assert (zenon_L2329_ : ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (~(hskp48)) -> (~(hskp36)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1033)) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c2_1 (a1049)) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (ndr1_0) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H307 zenon_H2f9 zenon_H2f6 zenon_Hae zenon_H8c zenon_H21a zenon_H21c zenon_H223 zenon_H255 zenon_H256 zenon_H308 zenon_Hff zenon_H101 zenon_H100 zenon_Hc zenon_Hdd zenon_H249.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2f8 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H23f | zenon_intro zenon_Hde ].
% 20.85/20.96 apply (zenon_L2328_); trivial.
% 20.85/20.96 exact (zenon_Hdd zenon_Hde).
% 20.85/20.96 apply (zenon_L257_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2329_ *)
% 20.85/20.96 assert (zenon_L2330_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H11b zenon_H319 zenon_H249 zenon_Hdd zenon_H308 zenon_H256 zenon_H255 zenon_H223 zenon_H21c zenon_H21a zenon_H8c zenon_Hae zenon_H2f9 zenon_H307.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.85/20.96 apply (zenon_L2329_); trivial.
% 20.85/20.96 apply (zenon_L1283_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2330_ *)
% 20.85/20.96 assert (zenon_L2331_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp36)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H121 zenon_H319 zenon_H249 zenon_Hdd zenon_H308 zenon_H256 zenon_H255 zenon_H223 zenon_H21c zenon_H21a zenon_H8c zenon_Hae zenon_H2f9 zenon_H307 zenon_H436 zenon_H433 zenon_H435.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.85/20.96 apply (zenon_L559_); trivial.
% 20.85/20.96 apply (zenon_L2330_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2331_ *)
% 20.85/20.96 assert (zenon_L2332_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H22b zenon_H132 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H435 zenon_H433 zenon_H436 zenon_H307 zenon_H2f9 zenon_H8c zenon_H255 zenon_H256 zenon_H308 zenon_Hdd zenon_H249 zenon_H319 zenon_H121.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.96 apply (zenon_L2331_); trivial.
% 20.85/20.96 apply (zenon_L471_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2332_ *)
% 20.85/20.96 assert (zenon_L2333_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H332 zenon_H23b zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5de zenon_H5df zenon_H5dd zenon_H1ec zenon_H121 zenon_H5b zenon_H285 zenon_H265 zenon_H8c zenon_H39 zenon_H3b zenon_H436 zenon_H433 zenon_H435 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_H319 zenon_H249 zenon_Hdd zenon_H308 zenon_H256 zenon_H255 zenon_H2f9 zenon_H307 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H132 zenon_H23c zenon_H387.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.96 apply (zenon_L2262_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.96 apply (zenon_L2325_); trivial.
% 20.85/20.96 apply (zenon_L2332_); trivial.
% 20.85/20.96 apply (zenon_L621_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2333_ *)
% 20.85/20.96 assert (zenon_L2334_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H481 zenon_H335 zenon_H132 zenon_Hc0 zenon_H5 zenon_H6 zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5de zenon_H5df zenon_H5dd zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H328.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_L2318_); trivial.
% 20.85/20.96 apply (zenon_L2315_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2334_ *)
% 20.85/20.96 assert (zenon_L2335_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2d8 zenon_H293 zenon_H485 zenon_H47b zenon_H215 zenon_H212 zenon_H48c zenon_H48a zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H46d zenon_H219 zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H6 zenon_H5 zenon_H23c zenon_H132 zenon_H307 zenon_H2f9 zenon_H308 zenon_Hdd zenon_H249 zenon_H319 zenon_H1ed zenon_H1c7 zenon_H1c3 zenon_H1c8 zenon_H149 zenon_H435 zenon_H3b zenon_H8c zenon_H5b zenon_H121 zenon_H1ec zenon_H23b zenon_H335 zenon_Hc0 zenon_H484.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_L2318_); trivial.
% 20.85/20.96 apply (zenon_L2333_); trivial.
% 20.85/20.96 apply (zenon_L2271_); trivial.
% 20.85/20.96 apply (zenon_L2334_); trivial.
% 20.85/20.96 apply (zenon_L206_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2335_ *)
% 20.85/20.96 assert (zenon_L2336_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2e0 zenon_H293 zenon_H485 zenon_H47b zenon_H215 zenon_H212 zenon_H48c zenon_H48a zenon_H500 zenon_H46d zenon_H219 zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H6 zenon_H5 zenon_H23c zenon_H132 zenon_H307 zenon_H2f9 zenon_H308 zenon_Hdd zenon_H249 zenon_H319 zenon_H1ed zenon_H1c7 zenon_H1c3 zenon_H1c8 zenon_H149 zenon_H435 zenon_H3b zenon_H8c zenon_H5b zenon_H121 zenon_H1ec zenon_H23b zenon_H335 zenon_Hc0 zenon_H484 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/20.96 apply (zenon_L1427_); trivial.
% 20.85/20.96 apply (zenon_L2335_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2336_ *)
% 20.85/20.96 assert (zenon_L2337_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_Hc5 zenon_H423 zenon_H40d zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H484 zenon_Hc0 zenon_H335 zenon_H23b zenon_H1ec zenon_H121 zenon_H5b zenon_H8c zenon_H3b zenon_H435 zenon_H149 zenon_H1c8 zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_H319 zenon_H249 zenon_Hdd zenon_H308 zenon_H2f9 zenon_H307 zenon_H132 zenon_H23c zenon_H5 zenon_H6 zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5de zenon_H5df zenon_H5dd zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H328 zenon_H219 zenon_H46d zenon_H500 zenon_H48a zenon_H48c zenon_H212 zenon_H215 zenon_H47b zenon_H485 zenon_H293 zenon_H2e0.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.96 apply (zenon_L2336_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_L2318_); trivial.
% 20.85/20.96 apply (zenon_L2233_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2337_ *)
% 20.85/20.96 assert (zenon_L2338_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2d8 zenon_H335 zenon_H23b zenon_H121 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H1c7 zenon_H1c3 zenon_Hdd zenon_H249 zenon_H5 zenon_H6 zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H5de zenon_H5df zenon_H5dd zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_L2314_); trivial.
% 20.85/20.96 apply (zenon_L2123_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2338_ *)
% 20.85/20.96 assert (zenon_L2339_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2e0 zenon_H335 zenon_H23b zenon_H121 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H1c7 zenon_H1c3 zenon_Hdd zenon_H249 zenon_H5 zenon_H6 zenon_H59a zenon_H5de zenon_H5df zenon_H5dd zenon_H137 zenon_H135 zenon_H138 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H285 zenon_H1eb zenon_H387 zenon_H328 zenon_H1b zenon_Hc zenon_H4ac zenon_H4ab zenon_H4aa zenon_H20.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/20.96 apply (zenon_L732_); trivial.
% 20.85/20.96 apply (zenon_L2338_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2339_ *)
% 20.85/20.96 assert (zenon_L2340_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (~(hskp38)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H223 zenon_H21c zenon_H21a zenon_H2f zenon_H1dd zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.96 apply (zenon_L2128_); trivial.
% 20.85/20.96 apply (zenon_L1739_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2340_ *)
% 20.85/20.96 assert (zenon_L2341_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_H5b0 zenon_H499 zenon_H49b zenon_H49a zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.85/20.96 apply (zenon_L73_); trivial.
% 20.85/20.96 apply (zenon_L2340_); trivial.
% 20.85/20.96 apply (zenon_L1349_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2341_ *)
% 20.85/20.96 assert (zenon_L2342_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H23b zenon_H219 zenon_H46d zenon_H463 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Hc8 zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H5a1 zenon_H59f zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H132 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H23c zenon_H387.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.96 apply (zenon_L2114_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.96 apply (zenon_L2267_); trivial.
% 20.85/20.96 apply (zenon_L2341_); trivial.
% 20.85/20.96 apply (zenon_L2118_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2342_ *)
% 20.85/20.96 assert (zenon_L2343_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H328 zenon_H47b zenon_H435 zenon_H433 zenon_H436 zenon_H387 zenon_H23c zenon_H2ab zenon_H297 zenon_H296 zenon_H295 zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_H132 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H59f zenon_H5a1 zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_Hc8 zenon_H203 zenon_H46d zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.96 apply (zenon_L3_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.96 apply (zenon_L2342_); trivial.
% 20.85/20.96 apply (zenon_L1680_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2343_ *)
% 20.85/20.96 assert (zenon_L2344_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H332 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H423 zenon_H5dd zenon_H5df zenon_H5de zenon_H295 zenon_H297 zenon_H296 zenon_H49a zenon_H499 zenon_H49b zenon_H40d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.85/20.96 apply (zenon_L2230_); trivial.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.85/20.96 exact (zenon_H60 zenon_H61).
% 20.85/20.96 apply (zenon_L1256_); trivial.
% 20.85/20.96 apply (zenon_L214_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2344_ *)
% 20.85/20.96 assert (zenon_L2345_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H47c zenon_H335 zenon_H423 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H1dd zenon_H358 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_H23c zenon_H387 zenon_H47b zenon_H328.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.96 apply (zenon_L3_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.96 apply (zenon_L1494_); trivial.
% 20.85/20.96 apply (zenon_L2250_); trivial.
% 20.85/20.96 apply (zenon_L2344_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2345_ *)
% 20.85/20.96 assert (zenon_L2346_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp27)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_H435 zenon_H436 zenon_H387 zenon_H23c zenon_H2ab zenon_H297 zenon_H296 zenon_H295 zenon_H265 zenon_H5dd zenon_H5de zenon_H5df zenon_H1c8 zenon_H285 zenon_H132 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H59f zenon_H5a1 zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H5b0 zenon_Hc8 zenon_H203 zenon_H46d zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H423 zenon_H29e zenon_H2a6 zenon_H335.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_L2343_); trivial.
% 20.85/20.96 apply (zenon_L2344_); trivial.
% 20.85/20.96 apply (zenon_L2345_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2346_ *)
% 20.85/20.96 assert (zenon_L2347_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H49a zenon_H49b zenon_H499 zenon_H5b0 zenon_Hc5.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.85/20.96 apply (zenon_L1524_); trivial.
% 20.85/20.96 apply (zenon_L1416_); trivial.
% 20.85/20.96 apply (zenon_L1349_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2347_ *)
% 20.85/20.96 assert (zenon_L2348_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c0_1 (a1101))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H478 zenon_H387 zenon_H23c zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H49a zenon_H49b zenon_H499 zenon_H5b0 zenon_Hc5 zenon_H285 zenon_H1c8 zenon_Hc0 zenon_H451 zenon_H452 zenon_H450 zenon_H265 zenon_H132 zenon_H5dd zenon_H5df zenon_H5de zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.96 apply (zenon_L2262_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.96 apply (zenon_L2273_); trivial.
% 20.85/20.96 apply (zenon_L2347_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2348_ *)
% 20.85/20.96 assert (zenon_L2349_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H481 zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H46d zenon_H203 zenon_Hc8 zenon_H5b0 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H5a1 zenon_H59f zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H132 zenon_H285 zenon_H1c8 zenon_H5df zenon_H5de zenon_H5dd zenon_H265 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H23c zenon_H387 zenon_H59a zenon_Hc0 zenon_H47b zenon_H328.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.96 apply (zenon_L3_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.96 apply (zenon_L2342_); trivial.
% 20.85/20.96 apply (zenon_L2348_); trivial.
% 20.85/20.96 apply (zenon_L2315_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2349_ *)
% 20.85/20.96 assert (zenon_L2350_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2d8 zenon_H2df zenon_H5ec zenon_H40d zenon_H328 zenon_H47b zenon_Hc8 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H500 zenon_H5ed zenon_H5eb zenon_H46d zenon_H2e zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b0 zenon_Hc5 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H335.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.96 apply (zenon_L3_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.96 apply (zenon_L2133_); trivial.
% 20.85/20.96 apply (zenon_L2120_); trivial.
% 20.85/20.96 apply (zenon_L2137_); trivial.
% 20.85/20.96 apply (zenon_L2124_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2350_ *)
% 20.85/20.96 assert (zenon_L2351_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H2e0 zenon_H2df zenon_H40d zenon_H328 zenon_H47b zenon_Hc8 zenon_H1dd zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H121 zenon_H203 zenon_H8c zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H500 zenon_H46d zenon_H2e zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b0 zenon_Hc5 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H335 zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/20.96 apply (zenon_L1427_); trivial.
% 20.85/20.96 apply (zenon_L2350_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2351_ *)
% 20.85/20.96 assert (zenon_L2352_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> (~(c2_1 (a1041))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H481 zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_Hc5 zenon_H5b0 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H203 zenon_H121 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H59a zenon_H5de zenon_H5df zenon_H5dd zenon_H132 zenon_H265 zenon_Hc0 zenon_H1c8 zenon_H285 zenon_H8f zenon_H1dd zenon_Ha3 zenon_Hc8 zenon_H23c zenon_H387 zenon_H47b zenon_H328.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.96 apply (zenon_L3_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.96 apply (zenon_L2133_); trivial.
% 20.85/20.96 apply (zenon_L2348_); trivial.
% 20.85/20.96 apply (zenon_L2315_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2352_ *)
% 20.85/20.96 assert (zenon_L2353_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1041))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 20.85/20.96 do 0 intro. intros zenon_H4a2 zenon_H3af zenon_H2de zenon_H2df zenon_H484 zenon_Hc0 zenon_H2a6 zenon_H423 zenon_H219 zenon_H46d zenon_H203 zenon_Hc8 zenon_H5b0 zenon_H1ed zenon_Hc5 zenon_H93 zenon_H8f zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H33e zenon_H1dd zenon_H358 zenon_H1ec zenon_H132 zenon_H1c8 zenon_H2ab zenon_H23c zenon_H435 zenon_H47b zenon_H485 zenon_H2b9 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H328 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H137 zenon_H5dd zenon_H5df zenon_H5de zenon_H59a zenon_H6 zenon_H5 zenon_H249 zenon_Hdd zenon_H1c3 zenon_H1c7 zenon_H5a1 zenon_H59f zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H121 zenon_H23b zenon_H335 zenon_H2e0 zenon_H3b0.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.96 apply (zenon_L2339_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.85/20.96 apply (zenon_L2346_); trivial.
% 20.85/20.96 apply (zenon_L2349_); trivial.
% 20.85/20.96 apply (zenon_L223_); trivial.
% 20.85/20.96 apply (zenon_L2124_); trivial.
% 20.85/20.96 apply (zenon_L1417_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.96 apply (zenon_L2351_); trivial.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/20.96 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.85/20.96 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.85/20.96 apply (zenon_L1799_); trivial.
% 20.85/20.96 apply (zenon_L2345_); trivial.
% 20.85/20.96 apply (zenon_L2352_); trivial.
% 20.85/20.96 apply (zenon_L223_); trivial.
% 20.85/20.96 apply (zenon_L2124_); trivial.
% 20.85/20.96 (* end of lemma zenon_L2353_ *)
% 20.85/20.96 assert (zenon_L2354_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c1_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c2_1 (a1041))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H2df zenon_H5a1 zenon_H59f zenon_H93 zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H40d zenon_H2e zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H5b0 zenon_Hc5 zenon_H121 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H5df zenon_H5de zenon_H5dd zenon_H48c zenon_H47b.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.85/20.97 apply (zenon_L2204_); trivial.
% 20.85/20.97 apply (zenon_L2188_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2354_ *)
% 20.85/20.97 assert (zenon_L2355_ : ((ndr1_0)/\((~(c1_1 (a1043)))/\((c0_1 (a1043))/\(~(c3_1 (a1043)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1041))) -> (~(c3_1 (a1041))) -> (c1_1 (a1041)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(hskp10)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(c2_1 X13)))))\/((hskp9)\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c3_1 X14))\/(c1_1 X14))))))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp10)\/((forall X32 : zenon_U, ((ndr1_0)->((~(c1_1 X32))\/((c0_1 X32)\/(~(c2_1 X32))))))\/(hskp43))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a1055)))/\((~(c1_1 (a1055)))/\(~(c2_1 (a1055))))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H5d9 zenon_H5da zenon_H4a5 zenon_H3af zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H5dd zenon_H5de zenon_H5df zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H137 zenon_H121 zenon_H5a1 zenon_H5b2 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H23b zenon_H2e0 zenon_H293 zenon_Hc9 zenon_H5b zenon_H285 zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_Hdd zenon_H249 zenon_H3b zenon_H33 zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H20 zenon_H2df zenon_H484 zenon_Hc0 zenon_H33e zenon_H358 zenon_H335 zenon_H5 zenon_H6 zenon_H23c zenon_H640 zenon_H63b zenon_H5b0 zenon_Hfb zenon_Hcc zenon_Hf zenon_Hdc zenon_H1dd zenon_H2e zenon_H2ab zenon_H1c8 zenon_H132 zenon_H59a zenon_H203 zenon_H56b zenon_H387 zenon_H435 zenon_H2a6 zenon_H328 zenon_H485 zenon_H2b9 zenon_H2de zenon_H3b0 zenon_H40d zenon_Hf1 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H1cf zenon_H4a6 zenon_H308 zenon_H2f9 zenon_H307 zenon_H423 zenon_H4c0.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H5d9). zenon_intro zenon_Hc. zenon_intro zenon_H5db.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H5db). zenon_intro zenon_H4ac. zenon_intro zenon_H5dc.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H5dc). zenon_intro zenon_H4ab. zenon_intro zenon_H4aa.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H5da); [ zenon_intro zenon_H59f | zenon_intro zenon_H5d6 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H4c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H4bd ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.85/20.97 apply (zenon_L2276_); trivial.
% 20.85/20.97 apply (zenon_L2311_); trivial.
% 20.85/20.97 apply (zenon_L2040_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Hc. zenon_intro zenon_H4be.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H3ba. zenon_intro zenon_H4bf.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H3bb. zenon_intro zenon_H3bc.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/20.97 apply (zenon_L1427_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.97 apply (zenon_L2312_); trivial.
% 20.85/20.97 apply (zenon_L1648_); trivial.
% 20.85/20.97 apply (zenon_L2271_); trivial.
% 20.85/20.97 apply (zenon_L2316_); trivial.
% 20.85/20.97 apply (zenon_L2210_); trivial.
% 20.85/20.97 apply (zenon_L2234_); trivial.
% 20.85/20.97 apply (zenon_L2337_); trivial.
% 20.85/20.97 apply (zenon_L2258_); trivial.
% 20.85/20.97 apply (zenon_L2353_); trivial.
% 20.85/20.97 apply (zenon_L2354_); trivial.
% 20.85/20.97 apply (zenon_L2190_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2355_ *)
% 20.85/20.97 assert (zenon_L2356_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H22e zenon_H230 zenon_H22f zenon_H212 zenon_H215.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.85/20.97 apply (zenon_L1484_); trivial.
% 20.85/20.97 apply (zenon_L762_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2356_ *)
% 20.85/20.97 assert (zenon_L2357_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_H93 zenon_H6c zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H1cf.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.85/20.97 apply (zenon_L995_); trivial.
% 20.85/20.97 apply (zenon_L2356_); trivial.
% 20.85/20.97 apply (zenon_L819_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2357_ *)
% 20.85/20.97 assert (zenon_L2358_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H23b zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1cf zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.97 apply (zenon_L927_); trivial.
% 20.85/20.97 apply (zenon_L2357_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2358_ *)
% 20.85/20.97 assert (zenon_L2359_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ce zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H127 zenon_H126 zenon_H125 zenon_H48a zenon_H48c.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.97 apply (zenon_L768_); trivial.
% 20.85/20.97 apply (zenon_L1673_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2359_ *)
% 20.85/20.97 assert (zenon_L2360_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H127 zenon_H126 zenon_H125 zenon_H48a zenon_H48c zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.97 apply (zenon_L77_); trivial.
% 20.85/20.97 apply (zenon_L2359_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2360_ *)
% 20.85/20.97 assert (zenon_L2361_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H127 zenon_H126 zenon_H125 zenon_H48a zenon_H48c.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.97 apply (zenon_L768_); trivial.
% 20.85/20.97 apply (zenon_L576_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2361_ *)
% 20.85/20.97 assert (zenon_L2362_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H125 zenon_H126 zenon_H127 zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.97 apply (zenon_L2360_); trivial.
% 20.85/20.97 apply (zenon_L2361_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2362_ *)
% 20.85/20.97 assert (zenon_L2363_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.97 apply (zenon_L764_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.85/20.97 apply (zenon_L73_); trivial.
% 20.85/20.97 apply (zenon_L2362_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2363_ *)
% 20.85/20.97 assert (zenon_L2364_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp40)) -> (~(hskp41)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H219 zenon_H46d zenon_H13b zenon_H13d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22f zenon_H230 zenon_H149 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H48a zenon_H48c.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.97 apply (zenon_L768_); trivial.
% 20.85/20.97 apply (zenon_L1458_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2364_ *)
% 20.85/20.97 assert (zenon_L2365_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c3_1 (a1031)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H12e zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22f zenon_H230 zenon_H149 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H22e zenon_H121 zenon_H1ed.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.97 apply (zenon_L2364_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.97 apply (zenon_L768_); trivial.
% 20.85/20.97 apply (zenon_L1454_); trivial.
% 20.85/20.97 apply (zenon_L2361_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2365_ *)
% 20.85/20.97 assert (zenon_L2366_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H1ed zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.97 apply (zenon_L764_); trivial.
% 20.85/20.97 apply (zenon_L2365_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2366_ *)
% 20.85/20.97 assert (zenon_L2367_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H23b zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.97 apply (zenon_L2363_); trivial.
% 20.85/20.97 apply (zenon_L2366_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2367_ *)
% 20.85/20.97 assert (zenon_L2368_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.97 apply (zenon_L764_); trivial.
% 20.85/20.97 apply (zenon_L1819_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2368_ *)
% 20.85/20.97 assert (zenon_L2369_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H23b.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.97 apply (zenon_L2367_); trivial.
% 20.85/20.97 apply (zenon_L2368_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2369_ *)
% 20.85/20.97 assert (zenon_L2370_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H2b9 zenon_H47b zenon_H132 zenon_H1eb zenon_H1ec zenon_H149 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.97 apply (zenon_L2358_); trivial.
% 20.85/20.97 apply (zenon_L2369_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2370_ *)
% 20.85/20.97 assert (zenon_L2371_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H13f zenon_Hc zenon_H558 zenon_H550 zenon_H551.
% 20.85/20.97 generalize (zenon_H13f (a1070)). zenon_intro zenon_H64a.
% 20.85/20.97 apply (zenon_imply_s _ _ zenon_H64a); [ zenon_intro zenon_Hb | zenon_intro zenon_H64b ].
% 20.85/20.97 exact (zenon_Hb zenon_Hc).
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H64b); [ zenon_intro zenon_H55c | zenon_intro zenon_H554 ].
% 20.85/20.97 exact (zenon_H55c zenon_H558).
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H557 | zenon_intro zenon_H556 ].
% 20.85/20.97 exact (zenon_H550 zenon_H557).
% 20.85/20.97 exact (zenon_H556 zenon_H551).
% 20.85/20.97 (* end of lemma zenon_L2371_ *)
% 20.85/20.97 assert (zenon_L2372_ : ((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp40)) -> (~(hskp41)) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H55d zenon_H149 zenon_H13b zenon_H13d.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H13c | zenon_intro zenon_H14a ].
% 20.85/20.97 exact (zenon_H13b zenon_H13c).
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 20.85/20.97 exact (zenon_H13d zenon_H13e).
% 20.85/20.97 apply (zenon_L2371_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2372_ *)
% 20.85/20.97 assert (zenon_L2373_ : ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp41)) -> (~(hskp40)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H560 zenon_H149 zenon_H13d zenon_H13b zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.85/20.97 apply (zenon_L1824_); trivial.
% 20.85/20.97 apply (zenon_L2372_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2373_ *)
% 20.85/20.97 assert (zenon_L2374_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ec zenon_H358 zenon_H338 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H3f5 zenon_H5b2 zenon_H31 zenon_H3f3 zenon_H212 zenon_H319 zenon_H1ed.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.97 apply (zenon_L2373_); trivial.
% 20.85/20.97 apply (zenon_L1531_); trivial.
% 20.85/20.97 apply (zenon_L1471_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2374_ *)
% 20.85/20.97 assert (zenon_L2375_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp53)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H282 zenon_H8f zenon_H15f zenon_H273 zenon_H558 zenon_H550 zenon_H551 zenon_H35e zenon_H35f zenon_H37f zenon_H166 zenon_H78 zenon_H22e zenon_H22f zenon_H230.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.85/20.97 apply (zenon_L896_); trivial.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.85/20.97 apply (zenon_L473_); trivial.
% 20.85/20.97 exact (zenon_H15f zenon_H160).
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.85/20.97 exact (zenon_H78 zenon_H79).
% 20.85/20.97 apply (zenon_L158_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2375_ *)
% 20.85/20.97 assert (zenon_L2376_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H183 zenon_H8c zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H10 zenon_H12 zenon_H11 zenon_Hc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H551 zenon_H550 zenon_H558 zenon_H273 zenon_H78 zenon_H8f zenon_H285.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.97 apply (zenon_L531_); trivial.
% 20.85/20.97 apply (zenon_L2375_); trivial.
% 20.85/20.97 apply (zenon_L89_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2376_ *)
% 20.85/20.97 assert (zenon_L2377_ : ((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H55d zenon_Ha3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H285 zenon_H8f zenon_H273 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H11 zenon_H12 zenon_H10 zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H183.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.85/20.97 apply (zenon_L2376_); trivial.
% 20.85/20.97 apply (zenon_L1823_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2377_ *)
% 20.85/20.97 assert (zenon_L2378_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H37c zenon_H560 zenon_H285 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.85/20.97 apply (zenon_L1824_); trivial.
% 20.85/20.97 apply (zenon_L2377_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2378_ *)
% 20.85/20.97 assert (zenon_L2379_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H237 zenon_H387 zenon_H285 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.97 apply (zenon_L2374_); trivial.
% 20.85/20.97 apply (zenon_L2378_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2379_ *)
% 20.85/20.97 assert (zenon_L2380_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> (~(hskp38)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp35)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ec zenon_H215 zenon_H212 zenon_H560 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H33 zenon_H31 zenon_H2f zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1bc zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.97 apply (zenon_L2373_); trivial.
% 20.85/20.97 apply (zenon_L1442_); trivial.
% 20.85/20.97 apply (zenon_L1444_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2380_ *)
% 20.85/20.97 assert (zenon_L2381_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H93 zenon_H6c zenon_H1ed zenon_H1cf zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H212 zenon_H215 zenon_H1ec.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.97 apply (zenon_L2380_); trivial.
% 20.85/20.97 apply (zenon_L813_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2381_ *)
% 20.85/20.97 assert (zenon_L2382_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61))))) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H265 zenon_H14c zenon_H6e zenon_H142 zenon_H141 zenon_H140 zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H35f zenon_H37f zenon_H35e zenon_Hc zenon_H263.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 20.85/20.97 apply (zenon_L190_); trivial.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 20.85/20.97 apply (zenon_L443_); trivial.
% 20.85/20.97 apply (zenon_L322_); trivial.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.85/20.97 apply (zenon_L458_); trivial.
% 20.85/20.97 exact (zenon_H263 zenon_H264).
% 20.85/20.97 (* end of lemma zenon_L2382_ *)
% 20.85/20.97 assert (zenon_L2383_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp57)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp53)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H282 zenon_H8f zenon_H15f zenon_H273 zenon_H140 zenon_H141 zenon_H142 zenon_H35e zenon_H35f zenon_H37f zenon_H166 zenon_H78 zenon_H22e zenon_H22f zenon_H230.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.85/20.97 apply (zenon_L836_); trivial.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.85/20.97 apply (zenon_L473_); trivial.
% 20.85/20.97 exact (zenon_H15f zenon_H160).
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.85/20.97 exact (zenon_H78 zenon_H79).
% 20.85/20.97 apply (zenon_L158_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2383_ *)
% 20.85/20.97 assert (zenon_L2384_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H183 zenon_H8c zenon_H8f zenon_H78 zenon_H265 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H142 zenon_H141 zenon_H140 zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H285.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H14c | zenon_intro zenon_H168 ].
% 20.85/20.97 apply (zenon_L2382_); trivial.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H155 | zenon_intro zenon_H160 ].
% 20.85/20.97 apply (zenon_L473_); trivial.
% 20.85/20.97 exact (zenon_H15f zenon_H160).
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.85/20.97 exact (zenon_H78 zenon_H79).
% 20.85/20.97 apply (zenon_L158_); trivial.
% 20.85/20.97 apply (zenon_L2383_); trivial.
% 20.85/20.97 apply (zenon_L89_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2384_ *)
% 20.85/20.97 assert (zenon_L2385_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ee zenon_Ha3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H285 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_H8f zenon_H8c zenon_H183.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.85/20.97 apply (zenon_L2384_); trivial.
% 20.85/20.97 apply (zenon_L1823_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2385_ *)
% 20.85/20.97 assert (zenon_L2386_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp11)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (c1_1 (a1033)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H12e zenon_H1eb zenon_Ha3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H285 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H265 zenon_H8f zenon_H8c zenon_H183 zenon_H533 zenon_H21c zenon_H21a zenon_H223 zenon_H535.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.85/20.97 apply (zenon_L875_); trivial.
% 20.85/20.97 apply (zenon_L2385_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2386_ *)
% 20.85/20.97 assert (zenon_L2387_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H22b zenon_H132 zenon_H1eb zenon_H5ec zenon_H5eb zenon_H5ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H285 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H265 zenon_H533 zenon_H535 zenon_Hc9 zenon_Hc5 zenon_Hc0 zenon_Ha3 zenon_H2e zenon_H500 zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H183 zenon_H93 zenon_H319 zenon_H31 zenon_H33 zenon_Hc8.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.97 apply (zenon_L1548_); trivial.
% 20.85/20.97 apply (zenon_L2386_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2387_ *)
% 20.85/20.97 assert (zenon_L2388_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H19e zenon_H33 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_Hc8 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.97 apply (zenon_L2374_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.97 apply (zenon_L2381_); trivial.
% 20.85/20.97 apply (zenon_L2387_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2388_ *)
% 20.85/20.97 assert (zenon_L2389_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_Hc5 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H8c zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.97 apply (zenon_L1024_); trivial.
% 20.85/20.97 apply (zenon_L2388_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2389_ *)
% 20.85/20.97 assert (zenon_L2390_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H335 zenon_H23c zenon_H132 zenon_H1eb zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H256 zenon_H25e zenon_H255 zenon_H5 zenon_H6 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H3f5 zenon_H5b2 zenon_H3f3 zenon_H212 zenon_H319 zenon_H1ed zenon_H265 zenon_H273 zenon_H285 zenon_H387 zenon_H23b zenon_H328.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.97 apply (zenon_L3_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.97 apply (zenon_L927_); trivial.
% 20.85/20.97 apply (zenon_L2379_); trivial.
% 20.85/20.97 apply (zenon_L2389_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2390_ *)
% 20.85/20.97 assert (zenon_L2391_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (c3_1 (a1045)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H11b zenon_H183 zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1be zenon_H1a2 zenon_H1a0 zenon_H1c3 zenon_H1c5 zenon_H1c7.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.85/20.97 apply (zenon_L783_); trivial.
% 20.85/20.97 apply (zenon_L1235_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2391_ *)
% 20.85/20.97 assert (zenon_L2392_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ce zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 20.85/20.97 apply (zenon_L1449_); trivial.
% 20.85/20.97 apply (zenon_L2391_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2392_ *)
% 20.85/20.97 assert (zenon_L2393_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.97 apply (zenon_L77_); trivial.
% 20.85/20.97 apply (zenon_L2392_); trivial.
% 20.85/20.97 (* end of lemma zenon_L2393_ *)
% 20.85/20.97 assert (zenon_L2394_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.85/20.97 do 0 intro. intros zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.97 apply (zenon_L777_); trivial.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/20.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/20.97 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.85/20.98 apply (zenon_L73_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.98 apply (zenon_L2393_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.98 apply (zenon_L796_); trivial.
% 20.85/20.98 apply (zenon_L576_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2394_ *)
% 20.85/20.98 assert (zenon_L2395_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H33e zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.98 apply (zenon_L777_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.85/20.98 apply (zenon_L73_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.98 apply (zenon_L2393_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.98 apply (zenon_L796_); trivial.
% 20.85/20.98 apply (zenon_L628_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2395_ *)
% 20.85/20.98 assert (zenon_L2396_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (c3_1 (a1032)) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H329 zenon_H32a zenon_H32b zenon_H35e zenon_H35f zenon_H37f zenon_H273 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.98 apply (zenon_L1445_); trivial.
% 20.85/20.98 apply (zenon_L813_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2396_ *)
% 20.85/20.98 assert (zenon_L2397_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H37c zenon_H23c zenon_H132 zenon_H1eb zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H6c zenon_H93 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_Hc8.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.98 apply (zenon_L2396_); trivial.
% 20.85/20.98 apply (zenon_L2387_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2397_ *)
% 20.85/20.98 assert (zenon_L2398_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H1cf zenon_H46d zenon_H463 zenon_Hc9 zenon_H165 zenon_H33 zenon_H19e zenon_H1c8 zenon_H6c zenon_H93 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_Hc8 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2374_); trivial.
% 20.85/20.98 apply (zenon_L2397_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2398_ *)
% 20.85/20.98 assert (zenon_L2399_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H23b zenon_H23c zenon_H132 zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H1cf zenon_H165 zenon_H19e zenon_H1c8 zenon_H6c zenon_H93 zenon_Hc5 zenon_H212 zenon_H3f3 zenon_H3f5 zenon_H54a zenon_H560 zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H4c2 zenon_H423 zenon_H51a zenon_H387.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2395_); trivial.
% 20.85/20.98 apply (zenon_L807_); trivial.
% 20.85/20.98 apply (zenon_L2398_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2399_ *)
% 20.85/20.98 assert (zenon_L2400_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H65 zenon_H64 zenon_H63 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.98 apply (zenon_L2393_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.85/20.98 apply (zenon_L715_); trivial.
% 20.85/20.98 apply (zenon_L795_); trivial.
% 20.85/20.98 apply (zenon_L576_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2400_ *)
% 20.85/20.98 assert (zenon_L2401_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (~(hskp34)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H338 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.98 apply (zenon_L777_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.85/20.98 apply (zenon_L73_); trivial.
% 20.85/20.98 apply (zenon_L2400_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2401_ *)
% 20.85/20.98 assert (zenon_L2402_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H387 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2401_); trivial.
% 20.85/20.98 apply (zenon_L807_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2402_ *)
% 20.85/20.98 assert (zenon_L2403_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1039)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H51a zenon_H423 zenon_H4c2 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H46d zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H560 zenon_H54a zenon_H3f5 zenon_H3f3 zenon_H212 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1c8 zenon_H19e zenon_H165 zenon_H1cf zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H285 zenon_H132 zenon_H23c zenon_H23b.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.98 apply (zenon_L2399_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.98 apply (zenon_L2402_); trivial.
% 20.85/20.98 apply (zenon_L2388_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2403_ *)
% 20.85/20.98 assert (zenon_L2404_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H47b zenon_H51a zenon_H423 zenon_H46d zenon_H277 zenon_H275 zenon_H137 zenon_H135 zenon_H138 zenon_H121 zenon_H5a1 zenon_H59f zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H219 zenon_H328 zenon_H23b zenon_H387 zenon_H285 zenon_H273 zenon_H265 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H5b2 zenon_H3f5 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H6 zenon_H5 zenon_H255 zenon_H25e zenon_H256 zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H1eb zenon_H132 zenon_H23c zenon_H335.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.98 apply (zenon_L2390_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.98 apply (zenon_L3_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2394_); trivial.
% 20.85/20.98 apply (zenon_L916_); trivial.
% 20.85/20.98 apply (zenon_L2379_); trivial.
% 20.85/20.98 apply (zenon_L2403_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2404_ *)
% 20.85/20.98 assert (zenon_L2405_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H535 zenon_H533 zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H22e zenon_H22f zenon_H230 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H149 zenon_H19e zenon_H33 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.98 apply (zenon_L1457_); trivial.
% 20.85/20.98 apply (zenon_L819_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2405_ *)
% 20.85/20.98 assert (zenon_L2406_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H237 zenon_H23c zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.98 apply (zenon_L1446_); trivial.
% 20.85/20.98 apply (zenon_L2405_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2406_ *)
% 20.85/20.98 assert (zenon_L2407_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H295 zenon_H296 zenon_H297 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.98 apply (zenon_L927_); trivial.
% 20.85/20.98 apply (zenon_L2406_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2407_ *)
% 20.85/20.98 assert (zenon_L2408_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp25)) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp38)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H359 zenon_H1dd zenon_H29e zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_H2f zenon_H470 zenon_H471 zenon_H46f.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H10b | zenon_intro zenon_H1de ].
% 20.85/20.98 apply (zenon_L909_); trivial.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H30 | zenon_intro zenon_H1d8 ].
% 20.85/20.98 exact (zenon_H2f zenon_H30).
% 20.85/20.98 apply (zenon_L1465_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2408_ *)
% 20.85/20.98 assert (zenon_L2409_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (ndr1_0) -> (~(hskp34)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_Hc zenon_H338 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 20.85/20.98 apply (zenon_L715_); trivial.
% 20.85/20.98 apply (zenon_L2408_); trivial.
% 20.85/20.98 apply (zenon_L819_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2409_ *)
% 20.85/20.98 assert (zenon_L2410_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (ndr1_0) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2409_); trivial.
% 20.85/20.98 apply (zenon_L1506_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2410_ *)
% 20.85/20.98 assert (zenon_L2411_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H478 zenon_H23b zenon_H273 zenon_H1ed zenon_H319 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H1ec zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.98 apply (zenon_L2410_); trivial.
% 20.85/20.98 apply (zenon_L2379_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2411_ *)
% 20.85/20.98 assert (zenon_L2412_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H19e zenon_H33 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_H273 zenon_Hc8 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H29e zenon_H2a6 zenon_Hc5.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.98 apply (zenon_L829_); trivial.
% 20.85/20.98 apply (zenon_L2388_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2412_ *)
% 20.85/20.98 assert (zenon_L2413_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H335 zenon_H132 zenon_Hc0 zenon_H2e zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H40d zenon_H423 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H295 zenon_H296 zenon_H297 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H560 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H3f5 zenon_H3f3 zenon_H273 zenon_H47b zenon_H328.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.98 apply (zenon_L3_); trivial.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.98 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.98 apply (zenon_L2407_); trivial.
% 20.85/20.98 apply (zenon_L2411_); trivial.
% 20.85/20.98 apply (zenon_L2412_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2413_ *)
% 20.85/20.98 assert (zenon_L2414_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H387 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H46d zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2394_); trivial.
% 20.85/20.98 apply (zenon_L1677_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2414_ *)
% 20.85/20.98 assert (zenon_L2415_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.98 do 0 intro. intros zenon_H387 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 20.85/20.98 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.98 apply (zenon_L2401_); trivial.
% 20.85/20.98 apply (zenon_L1506_); trivial.
% 20.85/20.98 (* end of lemma zenon_L2415_ *)
% 20.85/20.98 assert (zenon_L2416_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H138 zenon_H135 zenon_H137 zenon_H328 zenon_H47b zenon_H273 zenon_H3f3 zenon_H3f5 zenon_H54a zenon_H560 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H423 zenon_H40d zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_Hc0 zenon_H132 zenon_H335.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.99 apply (zenon_L2413_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.99 apply (zenon_L3_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L2414_); trivial.
% 20.85/20.99 apply (zenon_L2379_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L2415_); trivial.
% 20.85/20.99 apply (zenon_L2379_); trivial.
% 20.85/20.99 apply (zenon_L2403_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2416_ *)
% 20.85/20.99 assert (zenon_L2417_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H127 zenon_H126 zenon_H125 zenon_H48a zenon_H48c zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.99 apply (zenon_L226_); trivial.
% 20.85/20.99 apply (zenon_L2359_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2417_ *)
% 20.85/20.99 assert (zenon_L2418_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H12e zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.99 apply (zenon_L2417_); trivial.
% 20.85/20.99 apply (zenon_L2361_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2418_ *)
% 20.85/20.99 assert (zenon_L2419_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.99 apply (zenon_L764_); trivial.
% 20.85/20.99 apply (zenon_L2418_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2419_ *)
% 20.85/20.99 assert (zenon_L2420_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H93 zenon_H6c zenon_H1ed zenon_H1cf zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.99 apply (zenon_L1985_); trivial.
% 20.85/20.99 apply (zenon_L247_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2420_ *)
% 20.85/20.99 assert (zenon_L2421_ : ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (c3_1 (a1033)) -> (ndr1_0) -> (~(hskp38)) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_H223 zenon_H21c zenon_H21a zenon_Hc zenon_H2f zenon_H470 zenon_H471 zenon_H46f zenon_H1dd zenon_Ha3.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.85/20.99 apply (zenon_L1524_); trivial.
% 20.85/20.99 apply (zenon_L1136_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2421_ *)
% 20.85/20.99 assert (zenon_L2422_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H22b zenon_Hc8 zenon_Ha3 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.99 apply (zenon_L2421_); trivial.
% 20.85/20.99 apply (zenon_L247_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2422_ *)
% 20.85/20.99 assert (zenon_L2423_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H237 zenon_H23c zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H6c zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_Hc5 zenon_Hc8.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.85/20.99 apply (zenon_L2420_); trivial.
% 20.85/20.99 apply (zenon_L2422_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2423_ *)
% 20.85/20.99 assert (zenon_L2424_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H1dd zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5 zenon_Hc8.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L1021_); trivial.
% 20.85/20.99 apply (zenon_L2423_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2424_ *)
% 20.85/20.99 assert (zenon_L2425_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H2b9 zenon_H47b zenon_H23c zenon_H1dd zenon_H1c8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H132 zenon_H1ec zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H1ed zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.99 apply (zenon_L2358_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L2419_); trivial.
% 20.85/20.99 apply (zenon_L2366_); trivial.
% 20.85/20.99 apply (zenon_L2424_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2425_ *)
% 20.85/20.99 assert (zenon_L2426_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_H149 zenon_H560.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.99 apply (zenon_L2373_); trivial.
% 20.85/20.99 apply (zenon_L1455_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2426_ *)
% 20.85/20.99 assert (zenon_L2427_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H1ec zenon_H358 zenon_H338 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H319 zenon_H463 zenon_H46d zenon_H219 zenon_H1ed.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.99 apply (zenon_L2426_); trivial.
% 20.85/20.99 apply (zenon_L1471_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2427_ *)
% 20.85/20.99 assert (zenon_L2428_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H23b zenon_H387 zenon_H285 zenon_H265 zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5 zenon_Hc8.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L1021_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.99 apply (zenon_L2427_); trivial.
% 20.85/20.99 apply (zenon_L1022_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2428_ *)
% 20.85/20.99 assert (zenon_L2429_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H1cf zenon_H46d zenon_H463 zenon_Hc9 zenon_H165 zenon_H33 zenon_H19e zenon_H1c8 zenon_H6c zenon_H93 zenon_H273 zenon_H32b zenon_H32a zenon_H329 zenon_Hc5 zenon_Hc8 zenon_H1ed zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H31 zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_H1ec.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.99 apply (zenon_L1533_); trivial.
% 20.85/20.99 apply (zenon_L2397_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2429_ *)
% 20.85/20.99 assert (zenon_L2430_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H1dd zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H183 zenon_H8f zenon_H166 zenon_H165 zenon_Ha3 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H6c zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L1024_); trivial.
% 20.85/20.99 apply (zenon_L2423_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2430_ *)
% 20.85/20.99 assert (zenon_L2431_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H332 zenon_H47b zenon_H275 zenon_H277 zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H8c zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H166 zenon_H183 zenon_H33e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H3f5 zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f3 zenon_H212 zenon_H8f zenon_Ha3 zenon_H319 zenon_H1ed zenon_Hc5 zenon_H93 zenon_H6c zenon_H1c8 zenon_H19e zenon_H165 zenon_H46d zenon_H1cf zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H285 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H1eb zenon_H132 zenon_H23c zenon_H387 zenon_H23b.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L1024_); trivial.
% 20.85/20.99 apply (zenon_L2429_); trivial.
% 20.85/20.99 apply (zenon_L2430_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2431_ *)
% 20.85/20.99 assert (zenon_L2432_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H51c zenon_H335 zenon_H3f5 zenon_H3f3 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H1eb zenon_H132 zenon_H5 zenon_H6 zenon_H23b zenon_H387 zenon_H285 zenon_H265 zenon_H1ed zenon_H219 zenon_H46d zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5 zenon_Hc8 zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H212 zenon_H215 zenon_H1dd zenon_H23c zenon_H47b zenon_H328.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/20.99 apply (zenon_L3_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.99 apply (zenon_L2428_); trivial.
% 20.85/20.99 apply (zenon_L2424_); trivial.
% 20.85/20.99 apply (zenon_L2431_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2432_ *)
% 20.85/20.99 assert (zenon_L2433_ : ((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H2d8 zenon_H53b zenon_H335 zenon_H3f5 zenon_H3f3 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H1eb zenon_H5 zenon_H6 zenon_H387 zenon_H285 zenon_H265 zenon_H203 zenon_H54a zenon_H560 zenon_H33e zenon_H358 zenon_H328 zenon_H23b zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1cf zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H2ab zenon_H1ed zenon_H219 zenon_H46d zenon_H4d4 zenon_H48a zenon_H48c zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H1ec zenon_H132 zenon_H273 zenon_H1c8 zenon_H1dd zenon_H23c zenon_H47b zenon_H2b9.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/20.99 apply (zenon_L2425_); trivial.
% 20.85/20.99 apply (zenon_L2432_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2433_ *)
% 20.85/20.99 assert (zenon_L2434_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (ndr1_0) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_Hc zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/20.99 apply (zenon_L217_); trivial.
% 20.85/20.99 apply (zenon_L2418_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2434_ *)
% 20.85/20.99 assert (zenon_L2435_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H23b.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L2434_); trivial.
% 20.85/20.99 apply (zenon_L2366_); trivial.
% 20.85/20.99 apply (zenon_L2368_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2435_ *)
% 20.85/20.99 assert (zenon_L2436_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H2b9 zenon_H47b zenon_H132 zenon_H1ec zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H1ed zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/20.99 apply (zenon_L2358_); trivial.
% 20.85/20.99 apply (zenon_L2435_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2436_ *)
% 20.85/20.99 assert (zenon_L2437_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp21)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H23b zenon_H23c zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H5b zenon_H1c7 zenon_H1c3 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_H39 zenon_H3b zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/20.99 apply (zenon_L216_); trivial.
% 20.85/20.99 apply (zenon_L2406_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2437_ *)
% 20.85/20.99 assert (zenon_L2438_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H387 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H46d zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_Hc5 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H166 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H183 zenon_H33e zenon_H93 zenon_H6c zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.99 apply (zenon_L777_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.99 apply (zenon_L1532_); trivial.
% 20.85/20.99 apply (zenon_L982_); trivial.
% 20.85/20.99 apply (zenon_L2263_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2438_ *)
% 20.85/20.99 assert (zenon_L2439_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_Ha3 zenon_H6c zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H8f zenon_H93 zenon_H33e zenon_H338 zenon_H183 zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H2bb zenon_H2bc zenon_H166 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_Hc5.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/20.99 apply (zenon_L981_); trivial.
% 20.85/20.99 apply (zenon_L631_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2439_ *)
% 20.85/20.99 assert (zenon_L2440_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H387 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_Hc5 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H166 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H183 zenon_H33e zenon_H93 zenon_H6c zenon_H46f zenon_H470 zenon_H471 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/20.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.99 apply (zenon_L777_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.99 apply (zenon_L1532_); trivial.
% 20.85/20.99 apply (zenon_L2439_); trivial.
% 20.85/20.99 apply (zenon_L1506_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2440_ *)
% 20.85/20.99 assert (zenon_L2441_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/20.99 apply (zenon_L226_); trivial.
% 20.85/20.99 apply (zenon_L2392_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2441_ *)
% 20.85/20.99 assert (zenon_L2442_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H46d zenon_H463 zenon_H33e zenon_H338 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/20.99 apply (zenon_L777_); trivial.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/20.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/20.99 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/20.99 apply (zenon_L2441_); trivial.
% 20.85/20.99 apply (zenon_L963_); trivial.
% 20.85/20.99 (* end of lemma zenon_L2442_ *)
% 20.85/20.99 assert (zenon_L2443_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.85/20.99 do 0 intro. intros zenon_H23b zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H1cf zenon_H165 zenon_H19e zenon_H1c8 zenon_H6c zenon_H93 zenon_Hc5 zenon_H212 zenon_H3f3 zenon_H3f5 zenon_Hc8 zenon_H1ec zenon_H219 zenon_H46d zenon_H463 zenon_H33e zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H387.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/21.00 apply (zenon_L2442_); trivial.
% 20.85/21.00 apply (zenon_L807_); trivial.
% 20.85/21.00 apply (zenon_L2429_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2443_ *)
% 20.85/21.00 assert (zenon_L2444_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H33e zenon_H338 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.00 apply (zenon_L777_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/21.00 apply (zenon_L2441_); trivial.
% 20.85/21.00 apply (zenon_L965_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2444_ *)
% 20.85/21.00 assert (zenon_L2445_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H4c2 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H51a zenon_H33e zenon_H46f zenon_H470 zenon_H471 zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/21.00 apply (zenon_L2444_); trivial.
% 20.85/21.00 apply (zenon_L807_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2445_ *)
% 20.85/21.00 assert (zenon_L2446_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H332 zenon_H47b zenon_H54a zenon_H560 zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H4c2 zenon_H423 zenon_H51a zenon_H33e zenon_H46d zenon_H219 zenon_H1ec zenon_Hc8 zenon_H3f5 zenon_H3f3 zenon_H212 zenon_Hc5 zenon_H93 zenon_H6c zenon_H1c8 zenon_H19e zenon_H165 zenon_H1cf zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H285 zenon_H1eb zenon_H132 zenon_H23c zenon_H23b.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_L2443_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L2445_); trivial.
% 20.85/21.00 apply (zenon_L2388_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2446_ *)
% 20.85/21.00 assert (zenon_L2447_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> (~(hskp21)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H2bc zenon_H2bb zenon_H2ba zenon_H4e3 zenon_H4e1 zenon_H328 zenon_H47b zenon_H273 zenon_H3f3 zenon_H3f5 zenon_H54a zenon_H560 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H3b zenon_H39 zenon_H2a6 zenon_H297 zenon_H296 zenon_H295 zenon_H1c3 zenon_H1c7 zenon_H5b zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H423 zenon_H40d zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_Hc0 zenon_H132 zenon_H335.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/21.00 apply (zenon_L3_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_L2437_); trivial.
% 20.85/21.00 apply (zenon_L2411_); trivial.
% 20.85/21.00 apply (zenon_L2412_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/21.00 apply (zenon_L3_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L2438_); trivial.
% 20.85/21.00 apply (zenon_L2379_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L2440_); trivial.
% 20.85/21.00 apply (zenon_L2379_); trivial.
% 20.85/21.00 apply (zenon_L2446_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2447_ *)
% 20.85/21.00 assert (zenon_L2448_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H387 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H46d zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H166 zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H183 zenon_H33e zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.00 apply (zenon_L777_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/21.00 apply (zenon_L1532_); trivial.
% 20.85/21.00 apply (zenon_L1036_); trivial.
% 20.85/21.00 apply (zenon_L2263_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2448_ *)
% 20.85/21.00 assert (zenon_L2449_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H33e zenon_H338 zenon_H183 zenon_H8f zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H2bb zenon_H2bc zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H166 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_Ha3 zenon_H358.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/21.00 apply (zenon_L1035_); trivial.
% 20.85/21.00 apply (zenon_L631_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2449_ *)
% 20.85/21.00 assert (zenon_L2450_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H387 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H212 zenon_H3f3 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H3f5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H358 zenon_H11c zenon_Hfc zenon_H48c zenon_H48a zenon_H166 zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H183 zenon_H33e zenon_H46f zenon_H470 zenon_H471 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.00 apply (zenon_L777_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/21.00 apply (zenon_L1532_); trivial.
% 20.85/21.00 apply (zenon_L2449_); trivial.
% 20.85/21.00 apply (zenon_L1506_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2450_ *)
% 20.85/21.00 assert (zenon_L2451_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (ndr1_0) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp42)) -> (~(hskp16)) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H48c zenon_H241 zenon_H240 zenon_H242 zenon_Hc zenon_H2bb zenon_H2bc zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H78 zenon_H507 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H8f zenon_H1f1 zenon_H48a.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H48c); [ zenon_intro zenon_H486 | zenon_intro zenon_H48d ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.85/21.00 apply (zenon_L861_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.85/21.00 exact (zenon_H78 zenon_H79).
% 20.85/21.00 apply (zenon_L1033_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H48b ].
% 20.85/21.00 exact (zenon_H1f1 zenon_H1f2).
% 20.85/21.00 exact (zenon_H48a zenon_H48b).
% 20.85/21.00 (* end of lemma zenon_L2451_ *)
% 20.85/21.00 assert (zenon_L2452_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H84 zenon_Hc zenon_H507 zenon_H1e0 zenon_H1e1 zenon_H1df.
% 20.85/21.00 generalize (zenon_H84 (a1044)). zenon_intro zenon_H3e5.
% 20.85/21.00 apply (zenon_imply_s _ _ zenon_H3e5); [ zenon_intro zenon_Hb | zenon_intro zenon_H3e6 ].
% 20.85/21.00 exact (zenon_Hb zenon_Hc).
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3e8 | zenon_intro zenon_H3e7 ].
% 20.85/21.00 apply (zenon_L860_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H3e7); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e7 ].
% 20.85/21.00 exact (zenon_H1e5 zenon_H1df).
% 20.85/21.00 exact (zenon_H1e7 zenon_H1e0).
% 20.85/21.00 (* end of lemma zenon_L2452_ *)
% 20.85/21.00 assert (zenon_L2453_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (ndr1_0) -> (c0_1 (a1073)) -> (c1_1 (a1073)) -> (c2_1 (a1073)) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H8c zenon_H1df zenon_H1e1 zenon_H1e0 zenon_H507 zenon_Hc zenon_H95 zenon_H94 zenon_H96.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 20.85/21.00 apply (zenon_L35_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 20.85/21.00 apply (zenon_L2452_); trivial.
% 20.85/21.00 apply (zenon_L36_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2453_ *)
% 20.85/21.00 assert (zenon_L2454_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp1)) -> False).
% 20.85/21.00 do 0 intro. intros zenon_Ha0 zenon_H51a zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H8c zenon_H1c5 zenon_H1c3 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c7 zenon_H4e1.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H507 | zenon_intro zenon_H51b ].
% 20.85/21.00 apply (zenon_L2453_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H51b); [ zenon_intro zenon_H50e | zenon_intro zenon_H4e2 ].
% 20.85/21.00 apply (zenon_L806_); trivial.
% 20.85/21.00 exact (zenon_H4e1 zenon_H4e2).
% 20.85/21.00 (* end of lemma zenon_L2454_ *)
% 20.85/21.00 assert (zenon_L2455_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp42)) -> (ndr1_0) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_Ha3 zenon_H48c zenon_H48a zenon_H1f1 zenon_Hc zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H2bc zenon_H2bb zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H507 | zenon_intro zenon_H51b ].
% 20.85/21.00 apply (zenon_L2451_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H51b); [ zenon_intro zenon_H50e | zenon_intro zenon_H4e2 ].
% 20.85/21.00 apply (zenon_L806_); trivial.
% 20.85/21.00 exact (zenon_H4e1 zenon_H4e2).
% 20.85/21.00 apply (zenon_L2454_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2455_ *)
% 20.85/21.00 assert (zenon_L2456_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> (c1_1 (a1040)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H51a zenon_H4e1 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_H63 zenon_H64 zenon_H65 zenon_H2bb zenon_H2bc zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H48a zenon_H48c zenon_Ha3.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/21.00 apply (zenon_L2455_); trivial.
% 20.85/21.00 apply (zenon_L576_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2456_ *)
% 20.85/21.00 assert (zenon_L2457_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H242 zenon_H240 zenon_H241 zenon_H273 zenon_H48a zenon_H48c zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.00 apply (zenon_L777_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/21.00 apply (zenon_L2441_); trivial.
% 20.85/21.00 apply (zenon_L2456_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2457_ *)
% 20.85/21.00 assert (zenon_L2458_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_Hc5 zenon_H3f3 zenon_H3f5 zenon_H54a zenon_H560 zenon_H33e zenon_H358 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H48c zenon_H48a zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H4c2 zenon_H423 zenon_H51a zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L2457_); trivial.
% 20.85/21.00 apply (zenon_L2388_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2458_ *)
% 20.85/21.00 assert (zenon_L2459_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (c1_1 (a1039)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H51c zenon_H335 zenon_H23c zenon_H132 zenon_H1eb zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_Hc5 zenon_H121 zenon_H5a1 zenon_H59f zenon_H4c2 zenon_H423 zenon_H51a zenon_H5 zenon_H6 zenon_H23b zenon_H54a zenon_H560 zenon_Hc8 zenon_H1ec zenon_H219 zenon_H215 zenon_H33e zenon_H183 zenon_H273 zenon_H241 zenon_H240 zenon_H242 zenon_H166 zenon_H48a zenon_H48c zenon_Hfc zenon_H11c zenon_H358 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H3f5 zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f3 zenon_H212 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H46d zenon_H265 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H387 zenon_H47b zenon_H328.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/21.00 apply (zenon_L3_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L2448_); trivial.
% 20.85/21.00 apply (zenon_L2379_); trivial.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L2450_); trivial.
% 20.85/21.00 apply (zenon_L2379_); trivial.
% 20.85/21.00 apply (zenon_L2458_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2459_ *)
% 20.85/21.00 assert (zenon_L2460_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H23b zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H1ed zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L251_); trivial.
% 20.85/21.00 apply (zenon_L2366_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2460_ *)
% 20.85/21.00 assert (zenon_L2461_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1ed zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H23b.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_L2460_); trivial.
% 20.85/21.00 apply (zenon_L2368_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2461_ *)
% 20.85/21.00 assert (zenon_L2462_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H2b9 zenon_H47b zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H2ab zenon_H1ed zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H149 zenon_H46d zenon_H219 zenon_H1ec zenon_H132 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/21.00 apply (zenon_L2358_); trivial.
% 20.85/21.00 apply (zenon_L2461_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2462_ *)
% 20.85/21.00 assert (zenon_L2463_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H325 zenon_H23b zenon_H387 zenon_H285 zenon_H273 zenon_H265 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L251_); trivial.
% 20.85/21.00 apply (zenon_L2379_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2463_ *)
% 20.85/21.00 assert (zenon_L2464_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H328 zenon_H23b zenon_H387 zenon_H285 zenon_H273 zenon_H265 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H1 zenon_H5.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/21.00 apply (zenon_L3_); trivial.
% 20.85/21.00 apply (zenon_L2463_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2464_ *)
% 20.85/21.00 assert (zenon_L2465_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H332 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H19e zenon_H33 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_H273 zenon_Hc5 zenon_Hc8 zenon_H1ed zenon_H319 zenon_H212 zenon_H3f3 zenon_H31 zenon_H5b2 zenon_H3f5 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.85/21.00 apply (zenon_L251_); trivial.
% 20.85/21.00 apply (zenon_L2388_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2465_ *)
% 20.85/21.00 assert (zenon_L2466_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H51c zenon_H335 zenon_H23c zenon_H132 zenon_H1eb zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H19e zenon_H33 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H6c zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H3f5 zenon_H5b2 zenon_H31 zenon_H3f3 zenon_H212 zenon_H319 zenon_H1ed zenon_H265 zenon_H273 zenon_H285 zenon_H387 zenon_H23b zenon_H328.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/21.00 apply (zenon_L2464_); trivial.
% 20.85/21.00 apply (zenon_L2465_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2466_ *)
% 20.85/21.00 assert (zenon_L2467_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1cf zenon_H48c zenon_H48a zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H212 zenon_H215 zenon_H219.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.00 apply (zenon_L1595_); trivial.
% 20.85/21.00 apply (zenon_L819_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2467_ *)
% 20.85/21.00 assert (zenon_L2468_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H332 zenon_H47b zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_H46d zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H1cf zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_L1599_); trivial.
% 20.85/21.00 apply (zenon_L2467_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2468_ *)
% 20.85/21.00 assert (zenon_L2469_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H340 zenon_H342 zenon_H341 zenon_H212 zenon_H215 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.85/21.00 apply (zenon_L768_); trivial.
% 20.85/21.00 apply (zenon_L1591_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2469_ *)
% 20.85/21.00 assert (zenon_L2470_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H215 zenon_H212 zenon_H341 zenon_H342 zenon_H340 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H132.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.85/21.00 apply (zenon_L764_); trivial.
% 20.85/21.00 apply (zenon_L2469_); trivial.
% 20.85/21.00 apply (zenon_L2368_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2470_ *)
% 20.85/21.00 assert (zenon_L2471_ : ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp41)) -> (~(hskp40)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H560 zenon_H149 zenon_H13d zenon_H13b zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_Hc zenon_H166 zenon_H500 zenon_Ha3.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.85/21.00 apply (zenon_L1936_); trivial.
% 20.85/21.00 apply (zenon_L2372_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2471_ *)
% 20.85/21.00 assert (zenon_L2472_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp14)) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (~(hskp48)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H500 zenon_H31 zenon_H1a2 zenon_H1be zenon_H2f6 zenon_H5b2 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.85/21.00 apply (zenon_L1209_); trivial.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.85/21.00 apply (zenon_L1058_); trivial.
% 20.85/21.00 apply (zenon_L1059_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2472_ *)
% 20.85/21.00 assert (zenon_L2473_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (ndr1_0) -> (~(hskp48)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H5b2 zenon_H31 zenon_H1be zenon_H1a2 zenon_Hc zenon_H2f6 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.85/21.00 apply (zenon_L2472_); trivial.
% 20.85/21.00 apply (zenon_L89_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2473_ *)
% 20.85/21.00 assert (zenon_L2474_ : ((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a1045))) -> (~(c0_1 (a1045))) -> (~(hskp48)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_Ha0 zenon_H183 zenon_H8c zenon_H5b2 zenon_H31 zenon_H1be zenon_H1a2 zenon_H2f6 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_Hc. zenon_intro zenon_Ha1.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H94. zenon_intro zenon_Ha2.
% 20.85/21.00 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H96. zenon_intro zenon_H95.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.85/21.00 apply (zenon_L2472_); trivial.
% 20.85/21.00 apply (zenon_L91_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2474_ *)
% 20.85/21.00 assert (zenon_L2475_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp48)) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (~(c1_1 (a1045))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.85/21.00 do 0 intro. intros zenon_Ha3 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H2f6 zenon_Hc zenon_H1a2 zenon_H1be zenon_H31 zenon_H5b2 zenon_H8c zenon_H8f zenon_H183.
% 20.85/21.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.85/21.00 apply (zenon_L2473_); trivial.
% 20.85/21.00 apply (zenon_L2474_); trivial.
% 20.85/21.00 (* end of lemma zenon_L2475_ *)
% 20.85/21.00 assert (zenon_L2476_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H1ce zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H5b2 zenon_H31 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_Ha3.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H316 ].
% 20.85/21.01 apply (zenon_L2475_); trivial.
% 20.85/21.01 apply (zenon_L305_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2476_ *)
% 20.85/21.01 assert (zenon_L2477_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (ndr1_0) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp40)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H1ed zenon_H319 zenon_H5b2 zenon_H31 zenon_Ha3 zenon_H500 zenon_H166 zenon_Hc zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H13b zenon_H149 zenon_H560.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.85/21.01 apply (zenon_L2471_); trivial.
% 20.85/21.01 apply (zenon_L2476_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2477_ *)
% 20.85/21.01 assert (zenon_L2478_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H215 zenon_H212 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2f zenon_H31 zenon_H33 zenon_H19e.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.85/21.01 apply (zenon_L1585_); trivial.
% 20.85/21.01 apply (zenon_L584_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2478_ *)
% 20.85/21.01 assert (zenon_L2479_ : ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp38)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_Hc9 zenon_H165 zenon_H2f zenon_H33 zenon_H19e zenon_H560 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_Hc zenon_H166 zenon_H500 zenon_Ha3 zenon_H31 zenon_H5b2 zenon_H319 zenon_H1ed.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.85/21.01 apply (zenon_L2477_); trivial.
% 20.85/21.01 apply (zenon_L2478_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2479_ *)
% 20.85/21.01 assert (zenon_L2480_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H51c zenon_Hc8 zenon_H277 zenon_H275 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H31 zenon_Ha3 zenon_H500 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H19e zenon_H33 zenon_H165 zenon_Hc9 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.01 apply (zenon_L2479_); trivial.
% 20.85/21.01 apply (zenon_L1067_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2480_ *)
% 20.85/21.01 assert (zenon_L2481_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H325 zenon_H47b zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.01 apply (zenon_L1601_); trivial.
% 20.85/21.01 apply (zenon_L2467_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2481_ *)
% 20.85/21.01 assert (zenon_L2482_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H328 zenon_H47b zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H6c zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H6 zenon_H1 zenon_H5.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/21.01 apply (zenon_L3_); trivial.
% 20.85/21.01 apply (zenon_L2481_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2482_ *)
% 20.85/21.01 assert (zenon_L2483_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H2de zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc zenon_H2b9 zenon_H2ab zenon_H275 zenon_H4d4 zenon_H132 zenon_H328 zenon_H47b zenon_H219 zenon_H46d zenon_H500 zenon_H212 zenon_H215 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H6c zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H6 zenon_H5 zenon_H273 zenon_H335 zenon_H1ec zenon_H560 zenon_H149 zenon_H54a zenon_H5b2 zenon_H319 zenon_H1ed zenon_H277 zenon_H53b zenon_H2e0.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/21.01 apply (zenon_L1427_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.85/21.01 apply (zenon_L3_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.85/21.01 apply (zenon_L1592_); trivial.
% 20.85/21.01 apply (zenon_L819_); trivial.
% 20.85/21.01 apply (zenon_L2467_); trivial.
% 20.85/21.01 apply (zenon_L2468_); trivial.
% 20.85/21.01 apply (zenon_L2470_); trivial.
% 20.85/21.01 apply (zenon_L2480_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.85/21.01 apply (zenon_L2482_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.85/21.01 apply (zenon_L1608_); trivial.
% 20.85/21.01 apply (zenon_L2467_); trivial.
% 20.85/21.01 apply (zenon_L2470_); trivial.
% 20.85/21.01 apply (zenon_L2480_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2483_ *)
% 20.85/21.01 assert (zenon_L2484_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((hskp55)\/((forall X56 : zenon_U, ((ndr1_0)->((~(c0_1 X56))\/((c2_1 X56)\/(c1_1 X56)))))\/(hskp21))) -> ((~(hskp55))\/((ndr1_0)/\((c1_1 (a1081))/\((~(c0_1 (a1081)))/\(c3_1 (a1081)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c3_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c0_1 (a1082))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H4a5 zenon_H3af zenon_H2de zenon_H56b zenon_H203 zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc zenon_H2b9 zenon_H47b zenon_H132 zenon_H1eb zenon_H1ec zenon_H149 zenon_H48c zenon_H4d4 zenon_H46d zenon_H219 zenon_H1ed zenon_H137 zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b zenon_H335 zenon_H23c zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H1c8 zenon_H5 zenon_H6 zenon_H358 zenon_H33e zenon_H560 zenon_H54a zenon_H3f5 zenon_H3f3 zenon_H265 zenon_H273 zenon_H285 zenon_H387 zenon_H328 zenon_Hfc zenon_H11c zenon_H423 zenon_H51a zenon_H53b zenon_H2e0 zenon_H3b zenon_H5b zenon_H293 zenon_H3b0 zenon_H4a6.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/21.01 apply (zenon_L1427_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_L2370_); trivial.
% 20.85/21.01 apply (zenon_L2404_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_L2370_); trivial.
% 20.85/21.01 apply (zenon_L2416_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.85/21.01 apply (zenon_L1427_); trivial.
% 20.85/21.01 apply (zenon_L2433_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H39 | zenon_intro zenon_H290 ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_L2436_); trivial.
% 20.85/21.01 apply (zenon_L2447_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hc. zenon_intro zenon_H291.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H240. zenon_intro zenon_H292.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H241. zenon_intro zenon_H242.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_L2436_); trivial.
% 20.85/21.01 apply (zenon_L2459_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.85/21.01 apply (zenon_L2462_); trivial.
% 20.85/21.01 apply (zenon_L2466_); trivial.
% 20.85/21.01 apply (zenon_L730_); trivial.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 20.85/21.01 apply (zenon_L2483_); trivial.
% 20.85/21.01 apply (zenon_L730_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2484_ *)
% 20.85/21.01 assert (zenon_L2485_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H285 zenon_H165 zenon_H161 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H230 zenon_H22f zenon_H22e zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.85/21.01 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.85/21.01 apply (zenon_L1613_); trivial.
% 20.85/21.01 apply (zenon_L762_); trivial.
% 20.85/21.01 apply (zenon_L994_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2485_ *)
% 20.85/21.01 assert (zenon_L2486_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H22e zenon_H22f zenon_H230 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.85/21.01 apply (zenon_L2485_); trivial.
% 20.85/21.01 apply (zenon_L2356_); trivial.
% 20.85/21.01 (* end of lemma zenon_L2486_ *)
% 20.85/21.01 assert (zenon_L2487_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.85/21.01 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.85/21.01 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.85/21.01 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.01 apply (zenon_L764_); trivial.
% 20.95/21.01 apply (zenon_L2486_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2487_ *)
% 20.95/21.01 assert (zenon_L2488_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H29e zenon_H2a6 zenon_Hc5.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.01 apply (zenon_L829_); trivial.
% 20.95/21.01 apply (zenon_L2487_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2488_ *)
% 20.95/21.01 assert (zenon_L2489_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp12)) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H335 zenon_H423 zenon_H5 zenon_H6 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H40d zenon_H2e zenon_Ha3 zenon_H149 zenon_H435 zenon_H433 zenon_H436 zenon_H33e zenon_Hfc zenon_H11c zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H2ab zenon_H19e zenon_H165 zenon_H3bb zenon_H3bc zenon_H215 zenon_H212 zenon_H1cf zenon_H132 zenon_H23b zenon_H328.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.01 apply (zenon_L3_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.95/21.01 apply (zenon_L73_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.95/21.01 apply (zenon_L77_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.95/21.01 apply (zenon_L1671_); trivial.
% 20.95/21.01 apply (zenon_L762_); trivial.
% 20.95/21.01 apply (zenon_L565_); trivial.
% 20.95/21.01 apply (zenon_L916_); trivial.
% 20.95/21.01 apply (zenon_L2487_); trivial.
% 20.95/21.01 apply (zenon_L2488_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2489_ *)
% 20.95/21.01 assert (zenon_L2490_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H47c zenon_H335 zenon_H23b zenon_H132 zenon_H1cf zenon_H277 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.01 apply (zenon_L1497_); trivial.
% 20.95/21.01 apply (zenon_L2488_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2490_ *)
% 20.95/21.01 assert (zenon_L2491_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp12)\/((forall X19 : zenon_U, ((ndr1_0)->((~(c2_1 X19))\/((~(c1_1 X19))\/(~(c0_1 X19))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16)))))))) -> (~(hskp12)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H485 zenon_H219 zenon_H46d zenon_H203 zenon_H47b zenon_H328 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_H3bc zenon_H3bb zenon_H165 zenon_H19e zenon_H2ab zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H11c zenon_Hfc zenon_H33e zenon_H436 zenon_H435 zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H265 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H6 zenon_H5 zenon_H423 zenon_H335.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.01 apply (zenon_L2489_); trivial.
% 20.95/21.01 apply (zenon_L2490_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2491_ *)
% 20.95/21.01 assert (zenon_L2492_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (~(hskp25)) -> (ndr1_0) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H29e zenon_Hc zenon_H24a zenon_H450 zenon_H452.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a7 ].
% 20.95/21.01 apply (zenon_L761_); trivial.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ].
% 20.95/21.01 exact (zenon_H29e zenon_H29f).
% 20.95/21.01 apply (zenon_L1510_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2492_ *)
% 20.95/21.01 assert (zenon_L2493_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp58)) -> (ndr1_0) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp44)) -> (~(hskp45)) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H165 zenon_H263 zenon_Hc zenon_H3bb zenon_H3bc zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H29e zenon_H450 zenon_H452 zenon_H265 zenon_H161 zenon_H163.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H14b | zenon_intro zenon_H167 ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.95/21.01 apply (zenon_L2492_); trivial.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.95/21.01 apply (zenon_L424_); trivial.
% 20.95/21.01 exact (zenon_H263 zenon_H264).
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ].
% 20.95/21.01 exact (zenon_H161 zenon_H162).
% 20.95/21.01 exact (zenon_H163 zenon_H164).
% 20.95/21.01 (* end of lemma zenon_L2493_ *)
% 20.95/21.01 assert (zenon_L2494_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H165 zenon_H161 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H142 zenon_H141 zenon_H140 zenon_H275 zenon_H277 zenon_H285.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.95/21.01 apply (zenon_L2493_); trivial.
% 20.95/21.01 apply (zenon_L183_); trivial.
% 20.95/21.01 apply (zenon_L100_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2494_ *)
% 20.95/21.01 assert (zenon_L2495_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H1ce zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H285 zenon_H277 zenon_H275 zenon_H140 zenon_H141 zenon_H142 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H165 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.01 apply (zenon_L2494_); trivial.
% 20.95/21.01 apply (zenon_L1734_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2495_ *)
% 20.95/21.01 assert (zenon_L2496_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H1ed zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H165 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.95/21.01 apply (zenon_L77_); trivial.
% 20.95/21.01 apply (zenon_L2495_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2496_ *)
% 20.95/21.01 assert (zenon_L2497_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp2)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H358 zenon_H58b zenon_H590 zenon_H338 zenon_H33e zenon_H149 zenon_H19e zenon_H165 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H265 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_H285 zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.01 apply (zenon_L1079_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.95/21.01 apply (zenon_L73_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.95/21.01 apply (zenon_L2496_); trivial.
% 20.95/21.01 apply (zenon_L1085_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2497_ *)
% 20.95/21.01 assert (zenon_L2498_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp2)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H387 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H265 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H165 zenon_H19e zenon_H149 zenon_H33e zenon_H590 zenon_H58b zenon_H358 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.01 apply (zenon_L2497_); trivial.
% 20.95/21.01 apply (zenon_L916_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2498_ *)
% 20.95/21.01 assert (zenon_L2499_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H478 zenon_H387 zenon_H1eb zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H138 zenon_H135 zenon_H137 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.01 apply (zenon_L2409_); trivial.
% 20.95/21.01 apply (zenon_L916_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2499_ *)
% 20.95/21.01 assert (zenon_L2500_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp2)) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H481 zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_Hc5 zenon_H40d zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H358 zenon_H58b zenon_H590 zenon_H33e zenon_H149 zenon_H19e zenon_H165 zenon_H2a6 zenon_H29e zenon_H265 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_H285 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H387 zenon_Hc8 zenon_H93 zenon_H6c zenon_H1dd zenon_H47b zenon_H328.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.01 apply (zenon_L3_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.01 apply (zenon_L2498_); trivial.
% 20.95/21.01 apply (zenon_L2487_); trivial.
% 20.95/21.01 apply (zenon_L2499_); trivial.
% 20.95/21.01 apply (zenon_L2488_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2500_ *)
% 20.95/21.01 assert (zenon_L2501_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H237 zenon_H132 zenon_H219 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H59f zenon_H5a1 zenon_Ha3 zenon_Hc5 zenon_H215 zenon_H212 zenon_H463 zenon_H46d zenon_H1cf zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.01 apply (zenon_L764_); trivial.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.01 apply (zenon_L768_); trivial.
% 20.95/21.01 apply (zenon_L1632_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2501_ *)
% 20.95/21.01 assert (zenon_L2502_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H23b zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H59f zenon_H5a1 zenon_Ha3 zenon_Hc5 zenon_H1cf zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.01 apply (zenon_L2363_); trivial.
% 20.95/21.01 apply (zenon_L2501_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2502_ *)
% 20.95/21.01 assert (zenon_L2503_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.01 apply (zenon_L768_); trivial.
% 20.95/21.01 apply (zenon_L628_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2503_ *)
% 20.95/21.01 assert (zenon_L2504_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H329 zenon_H32a zenon_H32b zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.01 apply (zenon_L764_); trivial.
% 20.95/21.01 apply (zenon_L2503_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2504_ *)
% 20.95/21.01 assert (zenon_L2505_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.01 do 0 intro. intros zenon_H332 zenon_H47b zenon_H215 zenon_H212 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.01 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.01 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.01 apply (zenon_L2504_); trivial.
% 20.95/21.01 apply (zenon_L2368_); trivial.
% 20.95/21.01 (* end of lemma zenon_L2505_ *)
% 20.95/21.01 assert (zenon_L2506_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H2b6 zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_Ha3 zenon_Hc5 zenon_H1cf zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c7 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132 zenon_H47b zenon_H328.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.02 apply (zenon_L3_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_L2502_); trivial.
% 20.95/21.02 apply (zenon_L2368_); trivial.
% 20.95/21.02 apply (zenon_L2505_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2506_ *)
% 20.95/21.02 assert (zenon_L2507_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59))))) -> (ndr1_0) -> (~(hskp58)) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H265 zenon_H6e zenon_H551 zenon_H550 zenon_H558 zenon_H125 zenon_H126 zenon_H127 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H413 zenon_Hc zenon_H263.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H24a | zenon_intro zenon_H266 ].
% 20.95/21.02 apply (zenon_L1825_); trivial.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ].
% 20.95/21.02 apply (zenon_L541_); trivial.
% 20.95/21.02 exact (zenon_H263 zenon_H264).
% 20.95/21.02 (* end of lemma zenon_L2507_ *)
% 20.95/21.02 assert (zenon_L2508_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H183 zenon_H8c zenon_H8f zenon_H78 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H125 zenon_H126 zenon_H127 zenon_H551 zenon_H550 zenon_H558 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H423 zenon_H285.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H40f | zenon_intro zenon_H424 ].
% 20.95/21.02 apply (zenon_L803_); trivial.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H413 | zenon_intro zenon_H41a ].
% 20.95/21.02 apply (zenon_L2507_); trivial.
% 20.95/21.02 apply (zenon_L1690_); trivial.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 20.95/21.02 exact (zenon_H78 zenon_H79).
% 20.95/21.02 apply (zenon_L158_); trivial.
% 20.95/21.02 apply (zenon_L1831_); trivial.
% 20.95/21.02 apply (zenon_L89_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2508_ *)
% 20.95/21.02 assert (zenon_L2509_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H1cb zenon_H560 zenon_H285 zenon_H423 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H127 zenon_H126 zenon_H125 zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.95/21.02 apply (zenon_L1824_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.95/21.02 apply (zenon_L2508_); trivial.
% 20.95/21.02 apply (zenon_L1823_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2509_ *)
% 20.95/21.02 assert (zenon_L2510_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H423 zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.02 apply (zenon_L764_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.02 apply (zenon_L1834_); trivial.
% 20.95/21.02 apply (zenon_L2509_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2510_ *)
% 20.95/21.02 assert (zenon_L2511_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H325 zenon_H23b zenon_H560 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H387.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L1088_); trivial.
% 20.95/21.02 apply (zenon_L2510_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2511_ *)
% 20.95/21.02 assert (zenon_L2512_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H328 zenon_H23b zenon_H560 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H277 zenon_H275 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H33e zenon_H19e zenon_H149 zenon_H183 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.02 apply (zenon_L3_); trivial.
% 20.95/21.02 apply (zenon_L2511_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2512_ *)
% 20.95/21.02 assert (zenon_L2513_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp2)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H51c zenon_H335 zenon_H40d zenon_Hc0 zenon_Hc5 zenon_H4e1 zenon_H51a zenon_H5 zenon_H6 zenon_H387 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H166 zenon_H500 zenon_H183 zenon_H149 zenon_H19e zenon_H33e zenon_H590 zenon_H165 zenon_H265 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H275 zenon_H277 zenon_H58b zenon_H285 zenon_H358 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H132 zenon_H2ab zenon_H5ed zenon_H5eb zenon_H5ec zenon_H54a zenon_H560 zenon_H23b zenon_H328.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_L2512_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L1093_); trivial.
% 20.95/21.02 apply (zenon_L2510_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2513_ *)
% 20.95/21.02 assert (zenon_L2514_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H335 zenon_H23b zenon_H132 zenon_H1cf zenon_H265 zenon_H165 zenon_H285 zenon_H19e zenon_H2ab zenon_H40d zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H29e zenon_H2a6 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_H1dd zenon_H137 zenon_H135 zenon_H138 zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1eb zenon_Hc8 zenon_H47b zenon_H328.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_L1871_); trivial.
% 20.95/21.02 apply (zenon_L2488_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2514_ *)
% 20.95/21.02 assert (zenon_L2515_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_H1eb zenon_Hc5 zenon_H277 zenon_H275 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H138 zenon_H135 zenon_H137 zenon_H1dd zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H2a6 zenon_H29e zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H2ab zenon_H19e zenon_H285 zenon_H165 zenon_H265 zenon_H1cf zenon_H132 zenon_H23b zenon_H335.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.02 apply (zenon_L2514_); trivial.
% 20.95/21.02 apply (zenon_L2490_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2515_ *)
% 20.95/21.02 assert (zenon_L2516_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H2b6 zenon_H47b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H215 zenon_H212 zenon_H158 zenon_H156 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.02 apply (zenon_L764_); trivial.
% 20.95/21.02 apply (zenon_L1818_); trivial.
% 20.95/21.02 apply (zenon_L2368_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2516_ *)
% 20.95/21.02 assert (zenon_L2517_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H13b zenon_Hc zenon_H140 zenon_H141 zenon_H142 zenon_H149.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 20.95/21.02 apply (zenon_L77_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.02 apply (zenon_L1103_); trivial.
% 20.95/21.02 apply (zenon_L1673_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2517_ *)
% 20.95/21.02 assert (zenon_L2518_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H1e8 zenon_H219 zenon_H215 zenon_H212 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.02 apply (zenon_L1103_); trivial.
% 20.95/21.02 apply (zenon_L576_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2518_ *)
% 20.95/21.02 assert (zenon_L2519_ : ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H11 zenon_H12 zenon_H10 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 20.95/21.02 apply (zenon_L73_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 20.95/21.02 apply (zenon_L2517_); trivial.
% 20.95/21.02 apply (zenon_L2518_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2519_ *)
% 20.95/21.02 assert (zenon_L2520_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H23b zenon_H132 zenon_H1cf zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H277 zenon_H40d zenon_H165 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L2519_); trivial.
% 20.95/21.02 apply (zenon_L2487_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2520_ *)
% 20.95/21.02 assert (zenon_L2521_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H10 zenon_H12 zenon_H11 zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.02 apply (zenon_L1103_); trivial.
% 20.95/21.02 apply (zenon_L631_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2521_ *)
% 20.95/21.02 assert (zenon_L2522_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H165 zenon_H40d zenon_H277 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H1cf zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.02 apply (zenon_L3_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_L2520_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L2521_); trivial.
% 20.95/21.02 apply (zenon_L2487_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2522_ *)
% 20.95/21.02 assert (zenon_L2523_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H1cf zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H277 zenon_H40d zenon_H165 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H47b zenon_H328.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_L2522_); trivial.
% 20.95/21.02 apply (zenon_L2488_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2523_ *)
% 20.95/21.02 assert (zenon_L2524_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H328 zenon_H47b zenon_H295 zenon_H296 zenon_H297 zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H1c7 zenon_H1c3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H1cf zenon_Hc5 zenon_Ha3 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2e zenon_H277 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.02 apply (zenon_L3_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_L2502_); trivial.
% 20.95/21.02 apply (zenon_L1820_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2524_ *)
% 20.95/21.02 assert (zenon_L2525_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H1dd zenon_H121.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.95/21.02 apply (zenon_L1467_); trivial.
% 20.95/21.02 apply (zenon_L437_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2525_ *)
% 20.95/21.02 assert (zenon_L2526_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H332 zenon_H47b zenon_Hc8 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H1dd zenon_H121 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_L2504_); trivial.
% 20.95/21.02 apply (zenon_L2525_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2526_ *)
% 20.95/21.02 assert (zenon_L2527_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c2_1 (a1102)) -> (~(c0_1 (a1102))) -> (~(c1_1 (a1102))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H446 zenon_H445 zenon_H444 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.02 apply (zenon_L768_); trivial.
% 20.95/21.02 apply (zenon_L1493_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2527_ *)
% 20.95/21.02 assert (zenon_L2528_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H47c zenon_H47b zenon_H215 zenon_H212 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.02 apply (zenon_L764_); trivial.
% 20.95/21.02 apply (zenon_L2527_); trivial.
% 20.95/21.02 apply (zenon_L2368_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2528_ *)
% 20.95/21.02 assert (zenon_L2529_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23b zenon_H387 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H285 zenon_H33e zenon_H183 zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_L2504_); trivial.
% 20.95/21.02 apply (zenon_L2054_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2529_ *)
% 20.95/21.02 assert (zenon_L2530_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H2b9 zenon_H484 zenon_H387 zenon_Hc0 zenon_H33e zenon_H358 zenon_Hc8 zenon_H273 zenon_H435 zenon_H1dd zenon_H121 zenon_H2e zenon_H183 zenon_H166 zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H485 zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H165 zenon_H40d zenon_H277 zenon_H2a6 zenon_Hc5 zenon_H1cf zenon_H132 zenon_H23b zenon_H6 zenon_H5 zenon_H335.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.02 apply (zenon_L2523_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_L2524_); trivial.
% 20.95/21.02 apply (zenon_L2526_); trivial.
% 20.95/21.02 apply (zenon_L2528_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_L2524_); trivial.
% 20.95/21.02 apply (zenon_L2529_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2530_ *)
% 20.95/21.02 assert (zenon_L2531_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H478 zenon_H23b zenon_H132 zenon_H1cf zenon_H560 zenon_H165 zenon_H273 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H11 zenon_H12 zenon_H10 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H212 zenon_H215 zenon_H219.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L2521_); trivial.
% 20.95/21.02 apply (zenon_L2510_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2531_ *)
% 20.95/21.02 assert (zenon_L2532_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H19e zenon_Ha3 zenon_H166 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H273 zenon_H165 zenon_H560 zenon_H1cf zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.02 apply (zenon_L3_); trivial.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L2519_); trivial.
% 20.95/21.02 apply (zenon_L2510_); trivial.
% 20.95/21.02 apply (zenon_L2531_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2532_ *)
% 20.95/21.02 assert (zenon_L2533_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H560 zenon_H165 zenon_H265 zenon_H285 zenon_H183 zenon_H8f zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H40d zenon_H423 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Hc5.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.02 apply (zenon_L1111_); trivial.
% 20.95/21.02 apply (zenon_L2510_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2533_ *)
% 20.95/21.02 assert (zenon_L2534_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H51c zenon_H335 zenon_H40d zenon_Hc5 zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H1cf zenon_H560 zenon_H165 zenon_H273 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H166 zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H47b zenon_H328.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.02 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.02 apply (zenon_L2532_); trivial.
% 20.95/21.02 apply (zenon_L2533_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2534_ *)
% 20.95/21.02 assert (zenon_L2535_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.02 do 0 intro. intros zenon_H2b9 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H158 zenon_H156 zenon_H157 zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H296 zenon_H297 zenon_H295 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H165 zenon_H40d zenon_H277 zenon_H2a6 zenon_Hc5 zenon_H1cf zenon_H132 zenon_H23b zenon_H6 zenon_H5 zenon_H335.
% 20.95/21.02 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.02 apply (zenon_L2523_); trivial.
% 20.95/21.02 apply (zenon_L1821_); trivial.
% 20.95/21.02 (* end of lemma zenon_L2535_ *)
% 20.95/21.02 assert (zenon_L2536_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H19e zenon_H275 zenon_H2ab zenon_H1eb zenon_H1ec zenon_H358 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H387.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.03 apply (zenon_L866_); trivial.
% 20.95/21.03 apply (zenon_L2510_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2536_ *)
% 20.95/21.03 assert (zenon_L2537_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H51c zenon_H335 zenon_H358 zenon_H4e1 zenon_H51a zenon_H33e zenon_H157 zenon_H158 zenon_H156 zenon_H387 zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H1cf zenon_H560 zenon_H165 zenon_H273 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H166 zenon_Ha3 zenon_H19e zenon_H275 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H265 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H295 zenon_H297 zenon_H296 zenon_H423 zenon_H203 zenon_H56b zenon_H285 zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H47b zenon_H328.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.03 apply (zenon_L2532_); trivial.
% 20.95/21.03 apply (zenon_L2536_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2537_ *)
% 20.95/21.03 assert (zenon_L2538_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H2db zenon_H2df zenon_H4e1 zenon_H51a zenon_H2b9 zenon_H484 zenon_H387 zenon_Hc0 zenon_H33e zenon_H358 zenon_Hc8 zenon_H273 zenon_H435 zenon_H1dd zenon_H121 zenon_H2e zenon_H183 zenon_H166 zenon_H5b0 zenon_Hf zenon_H59f zenon_H5a1 zenon_H4d4 zenon_H48a zenon_H48c zenon_H485 zenon_H328 zenon_H47b zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H285 zenon_H56b zenon_H203 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H265 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H2ab zenon_H275 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H165 zenon_H40d zenon_H277 zenon_H2a6 zenon_Hc5 zenon_H1cf zenon_H132 zenon_H23b zenon_H6 zenon_H5 zenon_H335 zenon_H54a zenon_H560 zenon_H53b.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.03 apply (zenon_L2530_); trivial.
% 20.95/21.03 apply (zenon_L2534_); trivial.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.03 apply (zenon_L2535_); trivial.
% 20.95/21.03 apply (zenon_L2537_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2538_ *)
% 20.95/21.03 assert (zenon_L2539_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.95/21.03 apply (zenon_L1126_); trivial.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.03 apply (zenon_L1079_); trivial.
% 20.95/21.03 apply (zenon_L1760_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2539_ *)
% 20.95/21.03 assert (zenon_L2540_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H478 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.03 apply (zenon_L2409_); trivial.
% 20.95/21.03 apply (zenon_L579_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2540_ *)
% 20.95/21.03 assert (zenon_L2541_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H358 zenon_H29e zenon_H2a6 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H121 zenon_H203 zenon_H436 zenon_H433 zenon_H435 zenon_Hf zenon_H9 zenon_H2e zenon_H219 zenon_H23b.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.03 apply (zenon_L2539_); trivial.
% 20.95/21.03 apply (zenon_L1542_); trivial.
% 20.95/21.03 apply (zenon_L2540_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2541_ *)
% 20.95/21.03 assert (zenon_L2542_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H358 zenon_H29e zenon_H2a6 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H121 zenon_H203 zenon_H436 zenon_H433 zenon_H435 zenon_Hf zenon_H9 zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.03 apply (zenon_L3_); trivial.
% 20.95/21.03 apply (zenon_L2541_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2542_ *)
% 20.95/21.03 assert (zenon_L2543_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H1dd zenon_H6c zenon_H93 zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.95/21.03 apply (zenon_L1142_); trivial.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_Hc. zenon_intro zenon_H22c.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21a.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.03 apply (zenon_L1091_); trivial.
% 20.95/21.03 apply (zenon_L1760_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2543_ *)
% 20.95/21.03 assert (zenon_L2544_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H23b zenon_H121 zenon_H436 zenon_H433 zenon_H435 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5 zenon_H1eb zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.03 apply (zenon_L2543_); trivial.
% 20.95/21.03 apply (zenon_L621_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2544_ *)
% 20.95/21.03 assert (zenon_L2545_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H478 zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H1dd zenon_H121.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 20.95/21.03 apply (zenon_L1467_); trivial.
% 20.95/21.03 apply (zenon_L247_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2545_ *)
% 20.95/21.03 assert (zenon_L2546_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H332 zenon_H47b zenon_H256 zenon_H25e zenon_H255 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H435 zenon_H433 zenon_H436 zenon_H121 zenon_H23b.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.03 apply (zenon_L2544_); trivial.
% 20.95/21.03 apply (zenon_L2545_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2546_ *)
% 20.95/21.03 assert (zenon_L2547_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H335 zenon_H256 zenon_H25e zenon_H255 zenon_Hc0 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H29e zenon_H358 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.03 apply (zenon_L2542_); trivial.
% 20.95/21.03 apply (zenon_L2546_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2547_ *)
% 20.95/21.03 assert (zenon_L2548_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp44)) -> (~(hskp45)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H161 zenon_H163 zenon_H165.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.95/21.03 apply (zenon_L2493_); trivial.
% 20.95/21.03 apply (zenon_L549_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2548_ *)
% 20.95/21.03 assert (zenon_L2549_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp44)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H8c zenon_H22e zenon_H22f zenon_H230 zenon_H8f zenon_H165 zenon_H161 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.95/21.03 apply (zenon_L2548_); trivial.
% 20.95/21.03 apply (zenon_L994_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2549_ *)
% 20.95/21.03 assert (zenon_L2550_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H237 zenon_H1cf zenon_Hc5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H212 zenon_H215 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H165 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.03 apply (zenon_L2549_); trivial.
% 20.95/21.03 apply (zenon_L2356_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2550_ *)
% 20.95/21.03 assert (zenon_L2551_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H23b zenon_H40d zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.03 apply (zenon_L2539_); trivial.
% 20.95/21.03 apply (zenon_L2550_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2551_ *)
% 20.95/21.03 assert (zenon_L2552_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H358 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H40d zenon_H23b.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.03 apply (zenon_L2551_); trivial.
% 20.95/21.03 apply (zenon_L2540_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2552_ *)
% 20.95/21.03 assert (zenon_L2553_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H358 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H40d zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.03 apply (zenon_L3_); trivial.
% 20.95/21.03 apply (zenon_L2552_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2553_ *)
% 20.95/21.03 assert (zenon_L2554_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp25)) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H23b zenon_H29e zenon_H450 zenon_H452 zenon_H2a6 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5 zenon_H1eb zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.03 apply (zenon_L2543_); trivial.
% 20.95/21.03 apply (zenon_L2550_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2554_ *)
% 20.95/21.03 assert (zenon_L2555_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H93 zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.95/21.03 apply (zenon_L1142_); trivial.
% 20.95/21.03 apply (zenon_L1777_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2555_ *)
% 20.95/21.03 assert (zenon_L2556_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H237 zenon_H387 zenon_H132 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.03 apply (zenon_L1498_); trivial.
% 20.95/21.03 apply (zenon_L1099_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2556_ *)
% 20.95/21.03 assert (zenon_L2557_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H2ab zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5 zenon_H1eb zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.03 apply (zenon_L2555_); trivial.
% 20.95/21.03 apply (zenon_L2556_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2557_ *)
% 20.95/21.03 assert (zenon_L2558_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.03 do 0 intro. intros zenon_H481 zenon_H335 zenon_H2ab zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_H40d zenon_H29e zenon_H2a6 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H358 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.03 apply (zenon_L2553_); trivial.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.03 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.03 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.03 apply (zenon_L2554_); trivial.
% 20.95/21.03 apply (zenon_L2557_); trivial.
% 20.95/21.03 (* end of lemma zenon_L2558_ *)
% 20.95/21.03 assert (zenon_L2559_ : ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H484 zenon_H335 zenon_H256 zenon_H25e zenon_H255 zenon_Hc0 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H29e zenon_H358 zenon_H387 zenon_H47b zenon_H328 zenon_H2ab zenon_H485.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.04 apply (zenon_L2547_); trivial.
% 20.95/21.04 apply (zenon_L2490_); trivial.
% 20.95/21.04 apply (zenon_L2558_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2559_ *)
% 20.95/21.04 assert (zenon_L2560_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H23b zenon_H219 zenon_H121 zenon_H40d zenon_H2e zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.04 apply (zenon_L2539_); trivial.
% 20.95/21.04 apply (zenon_L2501_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2560_ *)
% 20.95/21.04 assert (zenon_L2561_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_Hc5 zenon_H256 zenon_H25e zenon_H255 zenon_H93 zenon_H6c zenon_H1dd zenon_Hc8 zenon_H23c.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.95/21.04 apply (zenon_L1126_); trivial.
% 20.95/21.04 apply (zenon_L2422_); trivial.
% 20.95/21.04 apply (zenon_L2240_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2561_ *)
% 20.95/21.04 assert (zenon_L2562_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H256 zenon_H25e zenon_H255 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H40d zenon_H121 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.04 apply (zenon_L3_); trivial.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.04 apply (zenon_L2560_); trivial.
% 20.95/21.04 apply (zenon_L2561_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2562_ *)
% 20.95/21.04 assert (zenon_L2563_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H2b9 zenon_H5b0 zenon_H59f zenon_H5a1 zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H485 zenon_H2ab zenon_H328 zenon_H47b zenon_H387 zenon_H358 zenon_H2a6 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H121 zenon_H203 zenon_H435 zenon_Hf zenon_H9 zenon_H2e zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H40d zenon_Hc0 zenon_H255 zenon_H25e zenon_H256 zenon_H335 zenon_H484.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.04 apply (zenon_L2559_); trivial.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.04 apply (zenon_L2562_); trivial.
% 20.95/21.04 apply (zenon_L2505_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2563_ *)
% 20.95/21.04 assert (zenon_L2564_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H23b zenon_H560 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.04 apply (zenon_L2539_); trivial.
% 20.95/21.04 apply (zenon_L2510_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2564_ *)
% 20.95/21.04 assert (zenon_L2565_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H256 zenon_H25e zenon_H255 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H23b.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.04 apply (zenon_L2564_); trivial.
% 20.95/21.04 apply (zenon_L2561_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2565_ *)
% 20.95/21.04 assert (zenon_L2566_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H33e zenon_H358 zenon_H256 zenon_H25e zenon_H255 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.04 apply (zenon_L3_); trivial.
% 20.95/21.04 apply (zenon_L2565_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2566_ *)
% 20.95/21.04 assert (zenon_L2567_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H23b zenon_H560 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8f zenon_H277 zenon_H275 zenon_H3ba zenon_H273 zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H8c zenon_Hc0 zenon_Hc5 zenon_H1eb zenon_H93 zenon_H6c zenon_H1dd zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.04 apply (zenon_L2543_); trivial.
% 20.95/21.04 apply (zenon_L2510_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2567_ *)
% 20.95/21.04 assert (zenon_L2568_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H23b.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.04 apply (zenon_L2567_); trivial.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.04 apply (zenon_L2555_); trivial.
% 20.95/21.04 apply (zenon_L2510_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2568_ *)
% 20.95/21.04 assert (zenon_L2569_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H51c zenon_H335 zenon_Hc0 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H560 zenon_H54a zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H255 zenon_H25e zenon_H256 zenon_H358 zenon_H33e zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.04 apply (zenon_L2566_); trivial.
% 20.95/21.04 apply (zenon_L2568_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2569_ *)
% 20.95/21.04 assert (zenon_L2570_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H436 zenon_H433 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.04 apply (zenon_L3_); trivial.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.04 apply (zenon_L1566_); trivial.
% 20.95/21.04 apply (zenon_L2540_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2570_ *)
% 20.95/21.04 assert (zenon_L2571_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H335 zenon_H256 zenon_H25e zenon_H255 zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_Hc0 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H132 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358 zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.04 apply (zenon_L2570_); trivial.
% 20.95/21.04 apply (zenon_L2546_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2571_ *)
% 20.95/21.04 assert (zenon_L2572_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H2b9 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H485 zenon_H2ab zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H23b zenon_H132 zenon_H1ec zenon_H149 zenon_H19e zenon_H165 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_Hc0 zenon_H1eb zenon_H533 zenon_H535 zenon_H23c zenon_H255 zenon_H25e zenon_H256 zenon_H335 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H484.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.04 apply (zenon_L2571_); trivial.
% 20.95/21.04 apply (zenon_L2490_); trivial.
% 20.95/21.04 apply (zenon_L2558_); trivial.
% 20.95/21.04 apply (zenon_L2516_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2572_ *)
% 20.95/21.04 assert (zenon_L2573_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H332 zenon_H23b zenon_H132 zenon_H1cf zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H19e zenon_H275 zenon_H2ab zenon_H1ec zenon_H358 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H4e1 zenon_H51a zenon_H33e zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H387.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.04 apply (zenon_L976_); trivial.
% 20.95/21.04 apply (zenon_L2510_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2573_ *)
% 20.95/21.04 assert (zenon_L2574_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H51c zenon_H335 zenon_H4e1 zenon_H51a zenon_H157 zenon_H158 zenon_H156 zenon_H5 zenon_H6 zenon_H23b zenon_H560 zenon_H54a zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H255 zenon_H25e zenon_H256 zenon_H358 zenon_H33e zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.04 apply (zenon_L2566_); trivial.
% 20.95/21.04 apply (zenon_L2573_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2574_ *)
% 20.95/21.04 assert (zenon_L2575_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H23a zenon_H53b zenon_H4e1 zenon_H51a zenon_H560 zenon_H54a zenon_H484 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H335 zenon_H256 zenon_H25e zenon_H255 zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_Hc0 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H132 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H8c zenon_H203 zenon_H121 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358 zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H47b zenon_H328 zenon_H2ab zenon_H485 zenon_H4d4 zenon_H48a zenon_H48c zenon_H2b9.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.04 apply (zenon_L2572_); trivial.
% 20.95/21.04 apply (zenon_L2574_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2575_ *)
% 20.95/21.04 assert (zenon_L2576_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H478 zenon_H387 zenon_H132 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.04 apply (zenon_L2409_); trivial.
% 20.95/21.04 apply (zenon_L538_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2576_ *)
% 20.95/21.04 assert (zenon_L2577_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.04 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H358 zenon_H29e zenon_H2a6 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H435 zenon_H433 zenon_H436 zenon_H121 zenon_H23b.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.04 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.04 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.04 apply (zenon_L2544_); trivial.
% 20.95/21.04 apply (zenon_L2576_); trivial.
% 20.95/21.04 (* end of lemma zenon_L2577_ *)
% 20.95/21.04 assert (zenon_L2578_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H335 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_Hc0 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H433 zenon_H436 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H29e zenon_H358 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.05 apply (zenon_L2542_); trivial.
% 20.95/21.05 apply (zenon_L2577_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2578_ *)
% 20.95/21.05 assert (zenon_L2579_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H358 zenon_H33e zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_H1eb zenon_Hc5 zenon_Hc0 zenon_H8c zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H275 zenon_H277 zenon_H8f zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H23b.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.05 apply (zenon_L2554_); trivial.
% 20.95/21.05 apply (zenon_L2576_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2579_ *)
% 20.95/21.05 assert (zenon_L2580_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H481 zenon_H335 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_Hc0 zenon_H5 zenon_H6 zenon_H23b zenon_H40d zenon_H29e zenon_H2a6 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H358 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.05 apply (zenon_L2553_); trivial.
% 20.95/21.05 apply (zenon_L2579_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2580_ *)
% 20.95/21.05 assert (zenon_L2581_ : ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H484 zenon_H335 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_Hc0 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H29e zenon_H358 zenon_H387 zenon_H47b zenon_H328 zenon_H485.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.05 apply (zenon_L2578_); trivial.
% 20.95/21.05 apply (zenon_L2490_); trivial.
% 20.95/21.05 apply (zenon_L2580_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2581_ *)
% 20.95/21.05 assert (zenon_L2582_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H328 zenon_H47b zenon_H295 zenon_H296 zenon_H297 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H40d zenon_H121 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.05 apply (zenon_L3_); trivial.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.05 apply (zenon_L2560_); trivial.
% 20.95/21.05 apply (zenon_L1820_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2582_ *)
% 20.95/21.05 assert (zenon_L2583_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H12e zenon_H1cf zenon_H560 zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.05 apply (zenon_L571_); trivial.
% 20.95/21.05 apply (zenon_L2509_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2583_ *)
% 20.95/21.05 assert (zenon_L2584_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H560 zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H273 zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H295 zenon_H296 zenon_H297 zenon_H275 zenon_H2ab.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.05 apply (zenon_L217_); trivial.
% 20.95/21.05 apply (zenon_L2583_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2584_ *)
% 20.95/21.05 assert (zenon_L2585_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H1dd zenon_H46f zenon_H471 zenon_H470 zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 20.95/21.05 apply (zenon_L1758_); trivial.
% 20.95/21.05 apply (zenon_L1777_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2585_ *)
% 20.95/21.05 assert (zenon_L2586_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H478 zenon_H23b zenon_H560 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.05 apply (zenon_L2585_); trivial.
% 20.95/21.05 apply (zenon_L2584_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2586_ *)
% 20.95/21.05 assert (zenon_L2587_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> (~(hskp23)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_H398 zenon_H392 zenon_H1c7 zenon_H1c3 zenon_H296 zenon_H297 zenon_H295 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H8f zenon_H8c zenon_Ha3 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H560 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.05 apply (zenon_L3_); trivial.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.05 apply (zenon_L1768_); trivial.
% 20.95/21.05 apply (zenon_L2584_); trivial.
% 20.95/21.05 apply (zenon_L2586_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2587_ *)
% 20.95/21.05 assert (zenon_L2588_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H51c zenon_H335 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H560 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H54a zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H47b zenon_H328.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.05 apply (zenon_L2587_); trivial.
% 20.95/21.05 apply (zenon_L2533_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2588_ *)
% 20.95/21.05 assert (zenon_L2589_ : ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H484 zenon_H2ab zenon_Hc0 zenon_H40d zenon_H335 zenon_H296 zenon_H297 zenon_H295 zenon_H39a zenon_H3a6 zenon_H39b zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H29e zenon_H358 zenon_H387 zenon_H47b zenon_H328 zenon_H485.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.05 apply (zenon_L2542_); trivial.
% 20.95/21.05 apply (zenon_L2083_); trivial.
% 20.95/21.05 apply (zenon_L2085_); trivial.
% 20.95/21.05 apply (zenon_L2580_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2589_ *)
% 20.95/21.05 assert (zenon_L2590_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H39b zenon_H3a6 zenon_H39a zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.05 apply (zenon_L2585_); trivial.
% 20.95/21.05 apply (zenon_L1780_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2590_ *)
% 20.95/21.05 assert (zenon_L2591_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H39b zenon_H3a6 zenon_H39a zenon_H33e zenon_H358 zenon_H295 zenon_H297 zenon_H296 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H40d zenon_H121 zenon_H219 zenon_H23b.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.05 apply (zenon_L2560_); trivial.
% 20.95/21.05 apply (zenon_L2590_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2591_ *)
% 20.95/21.05 assert (zenon_L2592_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H39b zenon_H3a6 zenon_H39a zenon_H33e zenon_H358 zenon_H295 zenon_H297 zenon_H296 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H40d zenon_H121 zenon_H219 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.05 apply (zenon_L3_); trivial.
% 20.95/21.05 apply (zenon_L2591_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2592_ *)
% 20.95/21.05 assert (zenon_L2593_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp27)) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_H387 zenon_H39b zenon_H3a6 zenon_H39a zenon_H33e zenon_H358 zenon_H295 zenon_H297 zenon_H296 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H2e zenon_H40d zenon_H121 zenon_H219 zenon_H23b zenon_H6 zenon_H5 zenon_H435 zenon_H436 zenon_H335.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.05 apply (zenon_L2592_); trivial.
% 20.95/21.05 apply (zenon_L2083_); trivial.
% 20.95/21.05 apply (zenon_L2528_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2593_ *)
% 20.95/21.05 assert (zenon_L2594_ : ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c0_1 (a1070)) -> (~(c1_1 (a1070))) -> (c2_1 (a1070)) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (~(hskp57)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H285 zenon_H8f zenon_H78 zenon_H273 zenon_H558 zenon_H550 zenon_H551 zenon_H230 zenon_H22e zenon_H22f zenon_H15f zenon_H166 zenon_Hc zenon_H39b zenon_H3a6 zenon_H39a zenon_H35e zenon_H37f zenon_H35f zenon_H265.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 20.95/21.05 apply (zenon_L617_); trivial.
% 20.95/21.05 apply (zenon_L2375_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2594_ *)
% 20.95/21.05 assert (zenon_L2595_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1032))) -> (~(c1_1 (a1032))) -> (c3_1 (a1032)) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> (c2_1 (a1070)) -> (~(c1_1 (a1070))) -> (c0_1 (a1070)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H183 zenon_H8c zenon_H265 zenon_H35f zenon_H37f zenon_H35e zenon_H39a zenon_H3a6 zenon_H39b zenon_Hc zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H551 zenon_H550 zenon_H558 zenon_H273 zenon_H78 zenon_H8f zenon_H285.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.95/21.05 apply (zenon_L2594_); trivial.
% 20.95/21.05 apply (zenon_L89_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2595_ *)
% 20.95/21.05 assert (zenon_L2596_ : ((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> (c3_1 (a1032)) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H55d zenon_Ha3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H285 zenon_H8f zenon_H273 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H39b zenon_H3a6 zenon_H39a zenon_H35e zenon_H37f zenon_H35f zenon_H265 zenon_H8c zenon_H183.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_Hc. zenon_intro zenon_H55e.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H551. zenon_intro zenon_H55f.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H550. zenon_intro zenon_H558.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.95/21.05 apply (zenon_L2595_); trivial.
% 20.95/21.05 apply (zenon_L1823_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2596_ *)
% 20.95/21.05 assert (zenon_L2597_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H37c zenon_H560 zenon_H285 zenon_H273 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H560); [ zenon_intro zenon_H544 | zenon_intro zenon_H55d ].
% 20.95/21.05 apply (zenon_L1824_); trivial.
% 20.95/21.05 apply (zenon_L2596_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2597_ *)
% 20.95/21.05 assert (zenon_L2598_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H237 zenon_H387 zenon_H560 zenon_H285 zenon_H273 zenon_H39b zenon_H3a6 zenon_H39a zenon_H265 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.05 apply (zenon_L1498_); trivial.
% 20.95/21.05 apply (zenon_L2597_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2598_ *)
% 20.95/21.05 assert (zenon_L2599_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 20.95/21.05 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H560 zenon_H39b zenon_H3a6 zenon_H39a zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H33e zenon_H358 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.05 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.05 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.05 apply (zenon_L2585_); trivial.
% 20.95/21.05 apply (zenon_L2598_); trivial.
% 20.95/21.05 (* end of lemma zenon_L2599_ *)
% 20.95/21.05 assert (zenon_L2600_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c2_1 (a1088))) -> (c1_1 (a1088)) -> (c3_1 (a1088)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H39b zenon_H3a6 zenon_H39a zenon_H33e zenon_H358 zenon_H295 zenon_H297 zenon_H296 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1dd zenon_H6c zenon_H93 zenon_Hc5 zenon_H1eb zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H285 zenon_H165 zenon_H265 zenon_H273 zenon_H275 zenon_H277 zenon_H19e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec zenon_H132 zenon_H2ab zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.06 apply (zenon_L3_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.06 apply (zenon_L2564_); trivial.
% 20.95/21.06 apply (zenon_L2599_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2600_ *)
% 20.95/21.06 assert (zenon_L2601_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c3_1 (a1088)) -> (c1_1 (a1088)) -> (~(c2_1 (a1088))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H51c zenon_H335 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H560 zenon_H54a zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H296 zenon_H297 zenon_H295 zenon_H358 zenon_H33e zenon_H39a zenon_H3a6 zenon_H39b zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2600_); trivial.
% 20.95/21.06 apply (zenon_L2533_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2601_ *)
% 20.95/21.06 assert (zenon_L2602_ : ((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H3ab zenon_H53b zenon_H560 zenon_H54a zenon_H484 zenon_H2ab zenon_Hc0 zenon_H40d zenon_H335 zenon_H296 zenon_H297 zenon_H295 zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_H9 zenon_Hf zenon_H435 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H358 zenon_H387 zenon_H47b zenon_H328 zenon_H485 zenon_H48c zenon_H48a zenon_H4d4 zenon_H5a1 zenon_H59f zenon_H5b0 zenon_H2b9.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.06 apply (zenon_L2589_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.06 apply (zenon_L2593_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2592_); trivial.
% 20.95/21.06 apply (zenon_L2529_); trivial.
% 20.95/21.06 apply (zenon_L2601_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2602_ *)
% 20.95/21.06 assert (zenon_L2603_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H2b9 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H485 zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H121 zenon_H203 zenon_H156 zenon_H158 zenon_H157 zenon_H8c zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H23b zenon_H132 zenon_H1ec zenon_H149 zenon_H19e zenon_H165 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_Hc0 zenon_H1eb zenon_H533 zenon_H535 zenon_H23c zenon_H2ab zenon_H297 zenon_H296 zenon_H295 zenon_H335 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H484.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2570_); trivial.
% 20.95/21.06 apply (zenon_L2577_); trivial.
% 20.95/21.06 apply (zenon_L2490_); trivial.
% 20.95/21.06 apply (zenon_L2580_); trivial.
% 20.95/21.06 apply (zenon_L1821_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2603_ *)
% 20.95/21.06 assert (zenon_L2604_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H51c zenon_H335 zenon_H358 zenon_H4e1 zenon_H51a zenon_H33e zenon_H157 zenon_H158 zenon_H156 zenon_H387 zenon_H5 zenon_H6 zenon_H23b zenon_H560 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H54a zenon_H2ab zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H295 zenon_H297 zenon_H296 zenon_H1c3 zenon_H1c7 zenon_H392 zenon_H398 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H47b zenon_H328.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2587_); trivial.
% 20.95/21.06 apply (zenon_L2573_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2604_ *)
% 20.95/21.06 assert (zenon_L2605_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(hskp23)) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H53b zenon_H4e1 zenon_H51a zenon_H560 zenon_H54a zenon_H392 zenon_H398 zenon_H484 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H335 zenon_H295 zenon_H296 zenon_H297 zenon_H2ab zenon_H23c zenon_H535 zenon_H533 zenon_H1eb zenon_Hc0 zenon_H1c7 zenon_H1c3 zenon_H423 zenon_H40d zenon_H1ed zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_H165 zenon_H19e zenon_H149 zenon_H1ec zenon_H132 zenon_H23b zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H8c zenon_H157 zenon_H158 zenon_H156 zenon_H203 zenon_H121 zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358 zenon_H265 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H47b zenon_H328 zenon_H485 zenon_H4d4 zenon_H48a zenon_H48c zenon_H2b9.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_L2603_); trivial.
% 20.95/21.06 apply (zenon_L2604_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2605_ *)
% 20.95/21.06 assert (zenon_L2606_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H23a zenon_H3ae zenon_H2b9 zenon_H48c zenon_H48a zenon_H4d4 zenon_H485 zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H265 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8 zenon_H121 zenon_H203 zenon_H8c zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H23b zenon_H132 zenon_H1ec zenon_H149 zenon_H19e zenon_H165 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H40d zenon_H423 zenon_H1c3 zenon_H1c7 zenon_Hc0 zenon_H1eb zenon_H533 zenon_H535 zenon_H23c zenon_H2ab zenon_H297 zenon_H296 zenon_H295 zenon_H335 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H484 zenon_H398 zenon_H54a zenon_H560 zenon_H51a zenon_H4e1 zenon_H53b.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.95/21.06 apply (zenon_L2605_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_Hc. zenon_intro zenon_H3ac.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3a6. zenon_intro zenon_H3ad.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H39a. zenon_intro zenon_H39b.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_L2603_); trivial.
% 20.95/21.06 apply (zenon_L2601_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2606_ *)
% 20.95/21.06 assert (zenon_L2607_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp33)\/((hskp23)\/(forall X65 : zenon_U, ((ndr1_0)->((~(c0_1 X65))\/((~(c2_1 X65))\/(~(c3_1 X65)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H398 zenon_H3ae zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H53b zenon_H560 zenon_H54a zenon_H484 zenon_H335 zenon_Hc0 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H219 zenon_H2e zenon_Hf zenon_H435 zenon_H203 zenon_H121 zenon_H132 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H19e zenon_H277 zenon_H275 zenon_H273 zenon_H265 zenon_H165 zenon_H285 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H1ed zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1eb zenon_Hc5 zenon_H93 zenon_H6c zenon_H1dd zenon_H500 zenon_H46d zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H33e zenon_H2a6 zenon_H358 zenon_H387 zenon_H47b zenon_H328 zenon_H2ab zenon_H485 zenon_H48c zenon_H48a zenon_H4d4 zenon_H5a1 zenon_H59f zenon_H5b0 zenon_H2b9 zenon_H51a zenon_H4e1 zenon_H2df zenon_H2e0.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 20.95/21.06 apply (zenon_L1427_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_L2563_); trivial.
% 20.95/21.06 apply (zenon_L2569_); trivial.
% 20.95/21.06 apply (zenon_L2575_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H392 | zenon_intro zenon_H3ab ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.06 apply (zenon_L2581_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2582_); trivial.
% 20.95/21.06 apply (zenon_L2526_); trivial.
% 20.95/21.06 apply (zenon_L2528_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2582_); trivial.
% 20.95/21.06 apply (zenon_L2529_); trivial.
% 20.95/21.06 apply (zenon_L2588_); trivial.
% 20.95/21.06 apply (zenon_L2602_); trivial.
% 20.95/21.06 apply (zenon_L2606_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2607_ *)
% 20.95/21.06 assert (zenon_L2608_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1077)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H237 zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H307 zenon_H2f9 zenon_H10 zenon_H11 zenon_H12 zenon_H2e3 zenon_H2e1 zenon_H2e2 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.06 apply (zenon_L643_); trivial.
% 20.95/21.06 apply (zenon_L2486_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2608_ *)
% 20.95/21.06 assert (zenon_L2609_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H328 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.06 apply (zenon_L3_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.06 apply (zenon_L251_); trivial.
% 20.95/21.06 apply (zenon_L2608_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2609_ *)
% 20.95/21.06 assert (zenon_L2610_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H335 zenon_H2ab zenon_H423 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H132 zenon_H23b zenon_H328.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2609_); trivial.
% 20.95/21.06 apply (zenon_L2488_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2610_ *)
% 20.95/21.06 assert (zenon_L2611_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H23b zenon_H132 zenon_H219 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5b0 zenon_H9 zenon_H12 zenon_H11 zenon_H10 zenon_Hf zenon_H59f zenon_H5a1 zenon_Ha3 zenon_Hc5 zenon_H215 zenon_H212 zenon_H463 zenon_H46d zenon_H1cf zenon_H4d4 zenon_H4d2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H48a zenon_H48c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.06 apply (zenon_L251_); trivial.
% 20.95/21.06 apply (zenon_L2501_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2611_ *)
% 20.95/21.06 assert (zenon_L2612_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H1cf zenon_H46d zenon_H212 zenon_H215 zenon_Hc5 zenon_Ha3 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2e zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.06 apply (zenon_L3_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.06 apply (zenon_L2611_); trivial.
% 20.95/21.06 apply (zenon_L2368_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2612_ *)
% 20.95/21.06 assert (zenon_L2613_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H1cf zenon_H46d zenon_H212 zenon_H215 zenon_Hc5 zenon_Ha3 zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H2e zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H121 zenon_H219 zenon_H132 zenon_H23b zenon_H6 zenon_H5 zenon_H1dd zenon_H436 zenon_H435 zenon_H3ba zenon_H273 zenon_Hc8 zenon_H335.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2612_); trivial.
% 20.95/21.06 apply (zenon_L2526_); trivial.
% 20.95/21.06 apply (zenon_L2528_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2613_ *)
% 20.95/21.06 assert (zenon_L2614_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H285 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.06 apply (zenon_L251_); trivial.
% 20.95/21.06 apply (zenon_L2053_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2614_ *)
% 20.95/21.06 assert (zenon_L2615_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23b zenon_H387 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H285 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H48c zenon_H48a zenon_H2ad zenon_H2ae zenon_H2af zenon_H4d2 zenon_H4d4 zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.06 apply (zenon_L2504_); trivial.
% 20.95/21.06 apply (zenon_L2614_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2615_ *)
% 20.95/21.06 assert (zenon_L2616_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp24)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H2b6 zenon_H484 zenon_H387 zenon_Hc0 zenon_H33e zenon_H358 zenon_H335 zenon_Hc8 zenon_H273 zenon_H3ba zenon_H435 zenon_H1dd zenon_H5 zenon_H6 zenon_H23b zenon_H132 zenon_H219 zenon_H121 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_H2e zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H5b0 zenon_H9 zenon_Hf zenon_H59f zenon_H5a1 zenon_Ha3 zenon_Hc5 zenon_H215 zenon_H212 zenon_H46d zenon_H1cf zenon_H4d4 zenon_H4d2 zenon_H48a zenon_H48c zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7 zenon_H47b zenon_H328 zenon_H485.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.06 apply (zenon_L2613_); trivial.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.06 apply (zenon_L2612_); trivial.
% 20.95/21.06 apply (zenon_L2615_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2616_ *)
% 20.95/21.06 assert (zenon_L2617_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H51c zenon_H23b zenon_H132 zenon_H1cf zenon_H423 zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 20.95/21.06 apply (zenon_L251_); trivial.
% 20.95/21.06 apply (zenon_L2510_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2617_ *)
% 20.95/21.06 assert (zenon_L2618_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H53b zenon_H560 zenon_H54a zenon_H335 zenon_H2ab zenon_H423 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H132 zenon_H23b zenon_H328 zenon_H485 zenon_H47b zenon_H48c zenon_H48a zenon_H4d4 zenon_H46d zenon_H5a1 zenon_H59f zenon_Hf zenon_H9 zenon_H5b0 zenon_H166 zenon_H183 zenon_H2e zenon_H121 zenon_H219 zenon_H1dd zenon_H435 zenon_H3ba zenon_H273 zenon_Hc8 zenon_H358 zenon_H33e zenon_Hc0 zenon_H387 zenon_H484 zenon_H2b9.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.06 apply (zenon_L2610_); trivial.
% 20.95/21.06 apply (zenon_L2616_); trivial.
% 20.95/21.06 apply (zenon_L2617_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2618_ *)
% 20.95/21.06 assert (zenon_L2619_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.95/21.06 do 0 intro. intros zenon_H23a zenon_H53b zenon_H560 zenon_H3ba zenon_H273 zenon_H183 zenon_H54a zenon_H166 zenon_H335 zenon_H2ab zenon_H423 zenon_H5 zenon_H6 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H308 zenon_H2f9 zenon_H307 zenon_H19e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5 zenon_H215 zenon_H212 zenon_H1cf zenon_H132 zenon_H23b zenon_H328 zenon_H219 zenon_H46d zenon_H4d4 zenon_H48a zenon_H48c zenon_H47b zenon_H2b9.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 20.95/21.06 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.06 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.06 apply (zenon_L2610_); trivial.
% 20.95/21.06 apply (zenon_L2516_); trivial.
% 20.95/21.06 apply (zenon_L2617_); trivial.
% 20.95/21.06 (* end of lemma zenon_L2619_ *)
% 20.95/21.06 assert (zenon_L2620_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H3b1 zenon_H2df zenon_H2b9 zenon_H484 zenon_H387 zenon_Hc0 zenon_H33e zenon_H358 zenon_Hc8 zenon_H273 zenon_H3ba zenon_H435 zenon_H1dd zenon_H219 zenon_H121 zenon_H2e zenon_H183 zenon_H166 zenon_H5b0 zenon_Hf zenon_H59f zenon_H5a1 zenon_H46d zenon_H4d4 zenon_H48a zenon_H48c zenon_H47b zenon_H485 zenon_H328 zenon_H23b zenon_H132 zenon_H1cf zenon_H212 zenon_H215 zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H19e zenon_H307 zenon_H2f9 zenon_H308 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H1c3 zenon_H1c7 zenon_H6 zenon_H5 zenon_H423 zenon_H2ab zenon_H335 zenon_H54a zenon_H560 zenon_H53b.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 20.95/21.07 apply (zenon_L2618_); trivial.
% 20.95/21.07 apply (zenon_L2619_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2620_ *)
% 20.95/21.07 assert (zenon_L2621_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp42)) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_H165 zenon_H285 zenon_H2e zenon_H1f1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.95/21.07 apply (zenon_L1846_); trivial.
% 20.95/21.07 apply (zenon_L762_); trivial.
% 20.95/21.07 apply (zenon_L100_); trivial.
% 20.95/21.07 apply (zenon_L1586_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2621_ *)
% 20.95/21.07 assert (zenon_L2622_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.07 apply (zenon_L2621_); trivial.
% 20.95/21.07 apply (zenon_L1591_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2622_ *)
% 20.95/21.07 assert (zenon_L2623_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H478 zenon_H387 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H19e zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_Hfb zenon_H48a zenon_H48c zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.07 apply (zenon_L2409_); trivial.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.07 apply (zenon_L306_); trivial.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.07 apply (zenon_L2621_); trivial.
% 20.95/21.07 apply (zenon_L631_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2623_ *)
% 20.95/21.07 assert (zenon_L2624_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.07 apply (zenon_L3_); trivial.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.07 apply (zenon_L764_); trivial.
% 20.95/21.07 apply (zenon_L2622_); trivial.
% 20.95/21.07 apply (zenon_L2623_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2624_ *)
% 20.95/21.07 assert (zenon_L2625_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp27)) -> (~(hskp28)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H335 zenon_H121 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H436 zenon_H433 zenon_H435 zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc8 zenon_H33e zenon_H1dd zenon_H358 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.07 apply (zenon_L2624_); trivial.
% 20.95/21.07 apply (zenon_L695_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2625_ *)
% 20.95/21.07 assert (zenon_L2626_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H463 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.95/21.07 apply (zenon_L1859_); trivial.
% 20.95/21.07 apply (zenon_L762_); trivial.
% 20.95/21.07 apply (zenon_L100_); trivial.
% 20.95/21.07 apply (zenon_L1860_); trivial.
% 20.95/21.07 apply (zenon_L628_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2626_ *)
% 20.95/21.07 assert (zenon_L2627_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H132 zenon_H219 zenon_H46d zenon_H463 zenon_H19e zenon_Ha3 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H273 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.07 apply (zenon_L764_); trivial.
% 20.95/21.07 apply (zenon_L2626_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2627_ *)
% 20.95/21.07 assert (zenon_L2628_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H478 zenon_H387 zenon_H132 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H32b zenon_H32a zenon_H329 zenon_H265 zenon_H275 zenon_H2ab zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.07 apply (zenon_L2409_); trivial.
% 20.95/21.07 apply (zenon_L1099_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2628_ *)
% 20.95/21.07 assert (zenon_L2629_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.07 apply (zenon_L2627_); trivial.
% 20.95/21.07 apply (zenon_L2628_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2629_ *)
% 20.95/21.07 assert (zenon_L2630_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H132 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.07 apply (zenon_L1497_); trivial.
% 20.95/21.07 apply (zenon_L2629_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2630_ *)
% 20.95/21.07 assert (zenon_L2631_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> (~(c0_1 (a1055))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp27)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H485 zenon_H3ba zenon_H328 zenon_H47b zenon_H387 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H5 zenon_H435 zenon_H436 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H121 zenon_H335.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 20.95/21.07 apply (zenon_L2625_); trivial.
% 20.95/21.07 apply (zenon_L2630_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2631_ *)
% 20.95/21.07 assert (zenon_L2632_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H478 zenon_H387 zenon_H132 zenon_H265 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H329 zenon_H32a zenon_H32b zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 20.95/21.07 apply (zenon_L2409_); trivial.
% 20.95/21.07 apply (zenon_L611_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2632_ *)
% 20.95/21.07 assert (zenon_L2633_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c1_1 (a1101)) -> (c3_1 (a1101)) -> (~(c0_1 (a1101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H450 zenon_H452 zenon_H451 zenon_Hc0 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.07 apply (zenon_L2627_); trivial.
% 20.95/21.07 apply (zenon_L2632_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2633_ *)
% 20.95/21.07 assert (zenon_L2634_ : ((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H481 zenon_H335 zenon_Hc0 zenon_H273 zenon_H3ba zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc8 zenon_H33e zenon_H1dd zenon_H358 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H387 zenon_H47b zenon_H328.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.07 apply (zenon_L2624_); trivial.
% 20.95/21.07 apply (zenon_L2633_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2634_ *)
% 20.95/21.07 assert (zenon_L2635_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H478 zenon_H132 zenon_H219 zenon_H215 zenon_H212 zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H560 zenon_H48a zenon_H48c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H1cf zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.07 apply (zenon_L764_); trivial.
% 20.95/21.07 apply (zenon_L1941_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2635_ *)
% 20.95/21.07 assert (zenon_L2636_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H325 zenon_H47b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H132.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.07 apply (zenon_L764_); trivial.
% 20.95/21.07 apply (zenon_L1939_); trivial.
% 20.95/21.07 apply (zenon_L2635_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2636_ *)
% 20.95/21.07 assert (zenon_L2637_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H328 zenon_H47b zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H203 zenon_H48c zenon_H48a zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 20.95/21.07 apply (zenon_L3_); trivial.
% 20.95/21.07 apply (zenon_L2636_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2637_ *)
% 20.95/21.07 assert (zenon_L2638_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45))))) -> (ndr1_0) -> (c2_1 (a1021)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H4e9 zenon_Hc zenon_H32b zenon_H40a zenon_H329 zenon_H32a.
% 20.95/21.07 generalize (zenon_H4e9 (a1021)). zenon_intro zenon_H64c.
% 20.95/21.07 apply (zenon_imply_s _ _ zenon_H64c); [ zenon_intro zenon_Hb | zenon_intro zenon_H64d ].
% 20.95/21.07 exact (zenon_Hb zenon_Hc).
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H330 | zenon_intro zenon_H64e ].
% 20.95/21.07 exact (zenon_H330 zenon_H32b).
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H64e); [ zenon_intro zenon_H512 | zenon_intro zenon_H331 ].
% 20.95/21.07 apply (zenon_L825_); trivial.
% 20.95/21.07 exact (zenon_H32a zenon_H331).
% 20.95/21.07 (* end of lemma zenon_L2638_ *)
% 20.95/21.07 assert (zenon_L2639_ : ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))) -> (c2_1 (a1021)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (ndr1_0) -> (~(hskp57)) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H500 zenon_H32a zenon_H329 zenon_H40a zenon_H32b zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H341 zenon_H340 zenon_H342 zenon_Hc zenon_H15f.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H501 ].
% 20.95/21.07 apply (zenon_L2638_); trivial.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4fc ].
% 20.95/21.07 apply (zenon_L1058_); trivial.
% 20.95/21.07 apply (zenon_L1059_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2639_ *)
% 20.95/21.07 assert (zenon_L2640_ : ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp53)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c0_1 (a1051)) -> (~(c2_1 (a1051))) -> (c1_1 (a1051)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp47)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H183 zenon_H8f zenon_H8c zenon_H78 zenon_H423 zenon_H1ad zenon_H1af zenon_H1b7 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H60 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H40d.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H40d); [ zenon_intro zenon_H403 | zenon_intro zenon_H40e ].
% 20.95/21.07 apply (zenon_L1317_); trivial.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H40e); [ zenon_intro zenon_H61 | zenon_intro zenon_H40a ].
% 20.95/21.07 exact (zenon_H60 zenon_H61).
% 20.95/21.07 apply (zenon_L2639_); trivial.
% 20.95/21.07 apply (zenon_L89_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2640_ *)
% 20.95/21.07 assert (zenon_L2641_ : ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp47)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (c1_1 (a1051)) -> (~(c2_1 (a1051))) -> (c0_1 (a1051)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_Ha3 zenon_H40d zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H60 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H1b7 zenon_H1af zenon_H1ad zenon_H423 zenon_H8c zenon_H8f zenon_H183.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 20.95/21.07 apply (zenon_L2640_); trivial.
% 20.95/21.07 apply (zenon_L1066_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2641_ *)
% 20.95/21.07 assert (zenon_L2642_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H183 zenon_H8f zenon_H8c zenon_H423 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H40d zenon_Ha3.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.95/21.07 apply (zenon_L2641_); trivial.
% 20.95/21.07 apply (zenon_L400_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2642_ *)
% 20.95/21.07 assert (zenon_L2643_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H12e zenon_H1cf zenon_Hc5 zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H40d zenon_H560 zenon_H165 zenon_H265 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H273 zenon_H285 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H340 zenon_H341 zenon_H342 zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.07 apply (zenon_L1937_); trivial.
% 20.95/21.07 apply (zenon_L2642_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2643_ *)
% 20.95/21.07 assert (zenon_L2644_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 20.95/21.07 do 0 intro. intros zenon_H51c zenon_H335 zenon_Hc5 zenon_H423 zenon_H40d zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H342 zenon_H341 zenon_H340 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H285 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H265 zenon_H165 zenon_H560 zenon_H48a zenon_H48c zenon_H203 zenon_H1cf zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H47b zenon_H328.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 20.95/21.07 apply (zenon_L2637_); trivial.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 20.95/21.07 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 20.95/21.07 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 20.95/21.07 apply (zenon_L764_); trivial.
% 20.95/21.07 apply (zenon_L2643_); trivial.
% 20.95/21.07 (* end of lemma zenon_L2644_ *)
% 20.95/21.07 assert (zenon_L2645_ : ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> (~(c0_1 (a1055))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 20.95/21.08 do 0 intro. intros zenon_H53b zenon_H423 zenon_H54a zenon_H560 zenon_H484 zenon_Hc0 zenon_H335 zenon_H121 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H435 zenon_H5 zenon_H6 zenon_H132 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H19e zenon_Ha3 zenon_H203 zenon_H2e zenon_H285 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H277 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_Hc8 zenon_H33e zenon_H1dd zenon_H358 zenon_H319 zenon_H308 zenon_H2f9 zenon_H307 zenon_H387 zenon_H47b zenon_H328 zenon_H3ba zenon_H485 zenon_H4d4 zenon_H2b9.
% 20.95/21.08 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 20.95/21.08 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 20.95/21.08 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 20.95/21.08 apply (zenon_L2631_); trivial.
% 20.95/21.08 apply (zenon_L2634_); trivial.
% 20.95/21.08 apply (zenon_L2470_); trivial.
% 20.95/21.08 apply (zenon_L2644_); trivial.
% 20.95/21.08 (* end of lemma zenon_L2645_ *)
% 20.95/21.08 assert (zenon_L2646_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 20.95/21.08 do 0 intro. intros zenon_H12e zenon_H219 zenon_H46d zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H2e zenon_H40d zenon_H340 zenon_H342 zenon_H341 zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf.
% 20.95/21.08 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 20.95/21.08 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 20.95/21.08 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 20.95/21.08 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 20.95/21.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 20.95/21.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 20.95/21.08 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 20.95/21.08 apply (zenon_L1883_); trivial.
% 20.95/21.08 apply (zenon_L762_); trivial.
% 20.95/21.08 apply (zenon_L100_); trivial.
% 20.95/21.08 apply (zenon_L713_); trivial.
% 20.95/21.08 apply (zenon_L1565_); trivial.
% 20.95/21.08 (* end of lemma zenon_L2646_ *)
% 20.95/21.08 assert (zenon_L2647_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H478 zenon_H387 zenon_H132 zenon_H219 zenon_H215 zenon_H19e zenon_H203 zenon_H2e zenon_H165 zenon_H3bb zenon_H3bc zenon_H40d zenon_Hfb zenon_Hcc zenon_H265 zenon_Hdc zenon_H212 zenon_H3f3 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H3f5 zenon_H285 zenon_H48a zenon_H48c zenon_H1cf zenon_H307 zenon_H2f9 zenon_H308 zenon_H12 zenon_H11 zenon_H10 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H183 zenon_H319 zenon_H358 zenon_H1dd zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_H33e zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_Hc5 zenon_Hc8.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.08 apply (zenon_L2409_); trivial.
% 21.04/21.08 apply (zenon_L1889_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2647_ *)
% 21.04/21.08 assert (zenon_L2648_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp5)) -> (~(hskp4)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H3f5 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H157 zenon_H158 zenon_H156 zenon_H277 zenon_H3f3 zenon_H212 zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H215 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.08 apply (zenon_L3_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 21.04/21.08 apply (zenon_L764_); trivial.
% 21.04/21.08 apply (zenon_L2646_); trivial.
% 21.04/21.08 apply (zenon_L2647_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2648_ *)
% 21.04/21.08 assert (zenon_L2649_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H46d zenon_H219 zenon_H132.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 21.04/21.08 apply (zenon_L764_); trivial.
% 21.04/21.08 apply (zenon_L1893_); trivial.
% 21.04/21.08 apply (zenon_L2576_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2649_ *)
% 21.04/21.08 assert (zenon_L2650_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> (~(hskp28)) -> (~(hskp27)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H335 zenon_H387 zenon_H358 zenon_H33e zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_Hfb zenon_H277 zenon_H40d zenon_H2e zenon_H19e zenon_H132 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H435 zenon_H433 zenon_H436 zenon_H8c zenon_H340 zenon_H341 zenon_H342 zenon_H203 zenon_H121 zenon_H1dd zenon_Ha3 zenon_H6c zenon_H8f zenon_H93 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.08 apply (zenon_L2149_); trivial.
% 21.04/21.08 apply (zenon_L2649_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2650_ *)
% 21.04/21.08 assert (zenon_L2651_ : ((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c0_1 (a1055))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1059))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H47c zenon_H335 zenon_H387 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H48a zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H8c zenon_H285 zenon_H273 zenon_H3ba zenon_Hdc zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H277 zenon_H341 zenon_H342 zenon_H340 zenon_H40d zenon_H2e zenon_Ha3 zenon_H19e zenon_H132 zenon_H5 zenon_H6 zenon_H219 zenon_H46d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H203 zenon_H212 zenon_H215 zenon_H47b zenon_H328.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hc. zenon_intro zenon_H47d.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H445. zenon_intro zenon_H47e.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H446. zenon_intro zenon_H444.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.08 apply (zenon_L1497_); trivial.
% 21.04/21.08 apply (zenon_L2649_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2651_ *)
% 21.04/21.08 assert (zenon_L2652_ : ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp27)) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H485 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H8f zenon_H6c zenon_Ha3 zenon_H1dd zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H436 zenon_H435 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H132 zenon_H19e zenon_H2e zenon_H40d zenon_H277 zenon_Hfb zenon_Hcc zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_Hdc zenon_H3ba zenon_H273 zenon_H285 zenon_H183 zenon_H166 zenon_H48a zenon_H48c zenon_H1cf zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H33e zenon_H358 zenon_H387 zenon_H335.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 21.04/21.08 apply (zenon_L2650_); trivial.
% 21.04/21.08 apply (zenon_L2651_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2652_ *)
% 21.04/21.08 assert (zenon_L2653_ : ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a1101)) -> (c1_1 (a1101)) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> (ndr1_0) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp33)) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H219 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H212 zenon_H215 zenon_H463 zenon_H19e zenon_Ha3 zenon_H8c zenon_H8f zenon_H165 zenon_H2a6 zenon_H452 zenon_H450 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_Hc zenon_H3bb zenon_H3bc zenon_H265 zenon_H1c5 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H56b zenon_H285 zenon_H183 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H48a zenon_H48c zenon_H1cf.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 21.04/21.08 apply (zenon_L2493_); trivial.
% 21.04/21.08 apply (zenon_L933_); trivial.
% 21.04/21.08 apply (zenon_L100_); trivial.
% 21.04/21.08 apply (zenon_L1586_); trivial.
% 21.04/21.08 apply (zenon_L1591_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2653_ *)
% 21.04/21.08 assert (zenon_L2654_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((~(c0_1 (a1102)))/\((c2_1 (a1102))/\(~(c1_1 (a1102))))))) -> (~(c0_1 (a1055))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((hskp43)\/((hskp27)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a1101))/\((c1_1 (a1101))/\(~(c0_1 (a1101))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H2e0 zenon_H2df zenon_H3f3 zenon_H3f5 zenon_H2b9 zenon_H4d4 zenon_H485 zenon_H3ba zenon_H328 zenon_H47b zenon_H387 zenon_H307 zenon_H2f9 zenon_H308 zenon_H319 zenon_H358 zenon_H1dd zenon_H33e zenon_Hc8 zenon_H2ab zenon_H275 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1cf zenon_H48c zenon_H166 zenon_H183 zenon_Hc5 zenon_H2a6 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H277 zenon_H500 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H165 zenon_H285 zenon_H2e zenon_H203 zenon_Ha3 zenon_H19e zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_H132 zenon_H6 zenon_H5 zenon_H435 zenon_H273 zenon_H121 zenon_H335 zenon_Hc0 zenon_H484 zenon_H560 zenon_H54a zenon_H423 zenon_H53b zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20 zenon_H56b zenon_H23b zenon_H2de.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 21.04/21.08 apply (zenon_L1427_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 21.04/21.08 apply (zenon_L2645_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H433 | zenon_intro zenon_H47c ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.08 apply (zenon_L2648_); trivial.
% 21.04/21.08 apply (zenon_L695_); trivial.
% 21.04/21.08 apply (zenon_L2630_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.08 apply (zenon_L2648_); trivial.
% 21.04/21.08 apply (zenon_L2633_); trivial.
% 21.04/21.08 apply (zenon_L2516_); trivial.
% 21.04/21.08 apply (zenon_L2644_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 21.04/21.08 apply (zenon_L2652_); trivial.
% 21.04/21.08 apply (zenon_L2634_); trivial.
% 21.04/21.08 apply (zenon_L2470_); trivial.
% 21.04/21.08 apply (zenon_L2644_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H436 | zenon_intro zenon_H481 ].
% 21.04/21.08 apply (zenon_L2652_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_Hc. zenon_intro zenon_H482.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H452. zenon_intro zenon_H483.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H450. zenon_intro zenon_H451.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.08 apply (zenon_L3_); trivial.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.08 apply (zenon_L2653_); trivial.
% 21.04/21.08 apply (zenon_L2487_); trivial.
% 21.04/21.08 apply (zenon_L2647_); trivial.
% 21.04/21.08 apply (zenon_L2633_); trivial.
% 21.04/21.08 apply (zenon_L2516_); trivial.
% 21.04/21.08 apply (zenon_L2644_); trivial.
% 21.04/21.08 apply (zenon_L730_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2654_ *)
% 21.04/21.08 assert (zenon_L2655_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1048))) -> (c3_1 (a1048)) -> (c0_1 (a1048)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H4a6 zenon_H3f5 zenon_H3f3 zenon_H3b0 zenon_H2e0 zenon_H2b9 zenon_H23b zenon_H1eb zenon_H1ec zenon_H1dd zenon_H149 zenon_H183 zenon_H166 zenon_H5cc zenon_H5cb zenon_H5ca zenon_H1c3 zenon_H1c7 zenon_H1ed zenon_H137 zenon_H48c zenon_H273 zenon_H212 zenon_H215 zenon_H219 zenon_Hc8 zenon_Ha3 zenon_H2e zenon_H20 zenon_Hdc zenon_Hf zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H2a6 zenon_Hc5 zenon_H2df zenon_H2de zenon_H3af.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 21.04/21.08 apply (zenon_L1389_); trivial.
% 21.04/21.08 apply (zenon_L730_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2655_ *)
% 21.04/21.08 assert (zenon_L2656_ : ((ndr1_0)/\((c0_1 (a1048))/\((c3_1 (a1048))/\(~(c2_1 (a1048)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> (~(hskp5)) -> ((hskp4)\/((hskp5)\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_H5d6 zenon_H4a5 zenon_H3af zenon_H2de zenon_H2df zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H8f zenon_H8c zenon_Hfb zenon_H6c zenon_Hcc zenon_Hf zenon_Hdc zenon_H20 zenon_H2e zenon_Ha3 zenon_Hc8 zenon_H219 zenon_H215 zenon_H212 zenon_H273 zenon_H48c zenon_H137 zenon_H1ed zenon_H1c7 zenon_H166 zenon_H183 zenon_H149 zenon_H1dd zenon_H1ec zenon_H1eb zenon_H23b zenon_H2b9 zenon_H2e0 zenon_H3b0 zenon_H3f3 zenon_H3f5 zenon_H4a6.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_Hc. zenon_intro zenon_H5d7.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H5ca. zenon_intro zenon_H5d8.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H5cb. zenon_intro zenon_H5cc.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 21.04/21.08 apply (zenon_L2655_); trivial.
% 21.04/21.08 apply (zenon_L1413_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2656_ *)
% 21.04/21.08 assert (zenon_L2657_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1031))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_Hc4 zenon_Ha3 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H277 zenon_H275 zenon_H22f zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H230 zenon_H22e zenon_H8c zenon_H8f zenon_H183.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.08 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 21.04/21.08 apply (zenon_L1160_); trivial.
% 21.04/21.08 apply (zenon_L1823_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2657_ *)
% 21.04/21.08 assert (zenon_L2658_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (c2_1 (a1031)) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 21.04/21.08 do 0 intro. intros zenon_Hc8 zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1ed zenon_H1cf zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_Hc9 zenon_H165 zenon_H31 zenon_H33 zenon_H19e zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H230 zenon_H22f zenon_H22e zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H212 zenon_H215 zenon_H1ec.
% 21.04/21.08 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.08 apply (zenon_L2380_); trivial.
% 21.04/21.08 apply (zenon_L2657_); trivial.
% 21.04/21.08 (* end of lemma zenon_L2658_ *)
% 21.04/21.08 assert (zenon_L2659_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> (c2_1 (a1031)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H37c zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H215 zenon_H212 zenon_H560 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H22e zenon_H22f zenon_H230 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_Ha3 zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_Hc8.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 21.04/21.09 apply (zenon_L2658_); trivial.
% 21.04/21.09 apply (zenon_L2387_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2659_ *)
% 21.04/21.09 assert (zenon_L2660_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp14)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H215 zenon_H212 zenon_H19e zenon_H33 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H1cf zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_Hc8 zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_H31 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_Ha3 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.09 apply (zenon_L2427_); trivial.
% 21.04/21.09 apply (zenon_L2659_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2660_ *)
% 21.04/21.09 assert (zenon_L2661_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp31)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H212 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H1ed zenon_H219 zenon_H46d zenon_H463 zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L927_); trivial.
% 21.04/21.09 apply (zenon_L2660_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2661_ *)
% 21.04/21.09 assert (zenon_L2662_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H215 zenon_H212 zenon_H560 zenon_H149 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_Hc8 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.09 apply (zenon_L1498_); trivial.
% 21.04/21.09 apply (zenon_L2659_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2662_ *)
% 21.04/21.09 assert (zenon_L2663_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H1ec zenon_H215 zenon_H212 zenon_H560 zenon_H149 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H19e zenon_H165 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H33e zenon_H183 zenon_H166 zenon_H358 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L927_); trivial.
% 21.04/21.09 apply (zenon_L2662_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2663_ *)
% 21.04/21.09 assert (zenon_L2664_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_H277 zenon_H275 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.09 apply (zenon_L1973_); trivial.
% 21.04/21.09 apply (zenon_L2657_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2664_ *)
% 21.04/21.09 assert (zenon_L2665_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H23b zenon_H277 zenon_H275 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H8f zenon_H166 zenon_H165 zenon_Ha3 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L1024_); trivial.
% 21.04/21.09 apply (zenon_L2664_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2665_ *)
% 21.04/21.09 assert (zenon_L2666_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H560 zenon_H54a zenon_H1c8 zenon_H33e zenon_H358 zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H8c zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8f zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H275 zenon_H277 zenon_H23b.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.09 apply (zenon_L2665_); trivial.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L1024_); trivial.
% 21.04/21.09 apply (zenon_L2662_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2666_ *)
% 21.04/21.09 assert (zenon_L2667_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H335 zenon_H255 zenon_H25e zenon_H256 zenon_H5 zenon_H6 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H212 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H1ed zenon_H219 zenon_H46d zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H47b zenon_H328.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.09 apply (zenon_L3_); trivial.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.09 apply (zenon_L2661_); trivial.
% 21.04/21.09 apply (zenon_L2663_); trivial.
% 21.04/21.09 apply (zenon_L2666_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2667_ *)
% 21.04/21.09 assert (zenon_L2668_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H46f zenon_H470 zenon_H471 zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.09 apply (zenon_L1170_); trivial.
% 21.04/21.09 apply (zenon_L916_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2668_ *)
% 21.04/21.09 assert (zenon_L2669_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hc8 zenon_H1eb zenon_H1ec zenon_H219 zenon_H215 zenon_H212 zenon_H33e zenon_H273 zenon_H2ae zenon_H2ad zenon_H2af zenon_H48a zenon_H48c zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H358 zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_H285 zenon_H387.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L2668_); trivial.
% 21.04/21.09 apply (zenon_L1634_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2669_ *)
% 21.04/21.09 assert (zenon_L2670_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1039)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23c zenon_H132 zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H560 zenon_H54a zenon_H1c8 zenon_H387 zenon_H51a zenon_H423 zenon_H4c2 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H46d zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8 zenon_H215 zenon_H212 zenon_H1cf zenon_H5ed zenon_H5eb zenon_H5ec zenon_H165 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H275 zenon_H277 zenon_H23b.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L1168_); trivial.
% 21.04/21.09 apply (zenon_L2664_); trivial.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L1171_); trivial.
% 21.04/21.09 apply (zenon_L2662_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2670_ *)
% 21.04/21.09 assert (zenon_L2671_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_H423 zenon_H48a zenon_H48c zenon_H59a zenon_H138 zenon_H135 zenon_H137 zenon_H328 zenon_H47b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H46d zenon_H219 zenon_H1ed zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H212 zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H273 zenon_H285 zenon_H1eb zenon_H132 zenon_H23c zenon_H387 zenon_H23b zenon_H6 zenon_H5 zenon_H256 zenon_H25e zenon_H255 zenon_H335.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.09 apply (zenon_L2667_); trivial.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.09 apply (zenon_L3_); trivial.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L1157_); trivial.
% 21.04/21.09 apply (zenon_L2664_); trivial.
% 21.04/21.09 apply (zenon_L2669_); trivial.
% 21.04/21.09 apply (zenon_L2670_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2671_ *)
% 21.04/21.09 assert (zenon_L2672_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H325 zenon_H47b zenon_H56b zenon_H297 zenon_H295 zenon_H296 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H46d zenon_H219 zenon_H1ed zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H212 zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H273 zenon_H285 zenon_H1eb zenon_H132 zenon_H23c zenon_H387 zenon_H23b.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.09 apply (zenon_L2661_); trivial.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L2410_); trivial.
% 21.04/21.09 apply (zenon_L2662_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2672_ *)
% 21.04/21.09 assert (zenon_L2673_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H328 zenon_H47b zenon_H56b zenon_H297 zenon_H295 zenon_H296 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H46d zenon_H219 zenon_H1ed zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H212 zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H273 zenon_H285 zenon_H1eb zenon_H132 zenon_H23c zenon_H387 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.09 apply (zenon_L3_); trivial.
% 21.04/21.09 apply (zenon_L2672_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2673_ *)
% 21.04/21.09 assert (zenon_L2674_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.09 apply (zenon_L1973_); trivial.
% 21.04/21.09 apply (zenon_L819_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2674_ *)
% 21.04/21.09 assert (zenon_L2675_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H40d zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c7 zenon_H29e zenon_H2a6 zenon_Hc5.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.09 apply (zenon_L829_); trivial.
% 21.04/21.09 apply (zenon_L2674_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2675_ *)
% 21.04/21.09 assert (zenon_L2676_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H560 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H1c8 zenon_H275 zenon_H277 zenon_H33e zenon_H358 zenon_H4e1 zenon_H4e3 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hc8 zenon_H23b.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.09 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.09 apply (zenon_L2675_); trivial.
% 21.04/21.09 apply (zenon_L2663_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2676_ *)
% 21.04/21.09 assert (zenon_L2677_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.09 do 0 intro. intros zenon_H335 zenon_H423 zenon_H40d zenon_H5 zenon_H6 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H215 zenon_H212 zenon_H19e zenon_H165 zenon_H1c8 zenon_H1cf zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H1ed zenon_H219 zenon_H46d zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H500 zenon_H166 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H183 zenon_H149 zenon_H560 zenon_H33e zenon_H358 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H296 zenon_H295 zenon_H297 zenon_H56b zenon_H47b zenon_H328.
% 21.04/21.09 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.09 apply (zenon_L2673_); trivial.
% 21.04/21.09 apply (zenon_L2676_); trivial.
% 21.04/21.09 (* end of lemma zenon_L2677_ *)
% 21.04/21.09 assert (zenon_L2678_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H387 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.10 apply (zenon_L1156_); trivial.
% 21.04/21.10 apply (zenon_L1677_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2678_ *)
% 21.04/21.10 assert (zenon_L2679_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H387 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Ha3 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H149 zenon_H358 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H46f zenon_H470 zenon_H471 zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_H1eb zenon_Hc8.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.10 apply (zenon_L1170_); trivial.
% 21.04/21.10 apply (zenon_L1506_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2679_ *)
% 21.04/21.10 assert (zenon_L2680_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_H48a zenon_H48c zenon_H59a zenon_H138 zenon_H135 zenon_H137 zenon_H328 zenon_H47b zenon_H56b zenon_H297 zenon_H295 zenon_H296 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H46d zenon_H219 zenon_H1ed zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H212 zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H273 zenon_H285 zenon_H1eb zenon_H132 zenon_H23c zenon_H387 zenon_H23b zenon_H6 zenon_H5 zenon_H40d zenon_H423 zenon_H335.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.10 apply (zenon_L2677_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.10 apply (zenon_L3_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_L2678_); trivial.
% 21.04/21.10 apply (zenon_L2660_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_L2679_); trivial.
% 21.04/21.10 apply (zenon_L2662_); trivial.
% 21.04/21.10 apply (zenon_L2670_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2680_ *)
% 21.04/21.10 assert (zenon_L2681_ : ((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H2db zenon_H53b zenon_H51a zenon_H59a zenon_H328 zenon_H56b zenon_H358 zenon_H33e zenon_H560 zenon_H54a zenon_H203 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1c8 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H273 zenon_H285 zenon_H23c zenon_H387 zenon_H6 zenon_H5 zenon_H423 zenon_H335 zenon_H23b zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1cf zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H2ab zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H46d zenon_H4d4 zenon_H48a zenon_H48c zenon_H149 zenon_H1ec zenon_H1eb zenon_H132 zenon_H47b zenon_H2b9.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.10 apply (zenon_L2370_); trivial.
% 21.04/21.10 apply (zenon_L2680_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2681_ *)
% 21.04/21.10 assert (zenon_L2682_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H23b zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_Hc5 zenon_Hc8.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_L1021_); trivial.
% 21.04/21.10 apply (zenon_L2664_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2682_ *)
% 21.04/21.10 assert (zenon_L2683_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H51c zenon_H47b zenon_H23c zenon_H1dd zenon_H1c8 zenon_Hc8 zenon_Hc5 zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H23b.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.10 apply (zenon_L2682_); trivial.
% 21.04/21.10 apply (zenon_L2424_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2683_ *)
% 21.04/21.10 assert (zenon_L2684_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H478 zenon_H23b zenon_H23c zenon_H1ec zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H166 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_Hc8 zenon_Hc5 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33e zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_L2410_); trivial.
% 21.04/21.10 apply (zenon_L1986_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2684_ *)
% 21.04/21.10 assert (zenon_L2685_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H325 zenon_H47b zenon_H2bc zenon_H2bb zenon_H2ba zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.10 apply (zenon_L2407_); trivial.
% 21.04/21.10 apply (zenon_L2684_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2685_ *)
% 21.04/21.10 assert (zenon_L2686_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H328 zenon_H47b zenon_H2bc zenon_H2bb zenon_H2ba zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.10 apply (zenon_L3_); trivial.
% 21.04/21.10 apply (zenon_L2685_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2686_ *)
% 21.04/21.10 assert (zenon_L2687_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23c zenon_H1dd zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1c8 zenon_H295 zenon_H296 zenon_H297 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H423 zenon_H40d zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H6c zenon_H93 zenon_Hc8 zenon_H23b.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.10 apply (zenon_L2675_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_L829_); trivial.
% 21.04/21.10 apply (zenon_L1986_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2687_ *)
% 21.04/21.10 assert (zenon_L2688_ : ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H335 zenon_H423 zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H295 zenon_H296 zenon_H297 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H1dd zenon_H33e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H47b zenon_H328.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.10 apply (zenon_L2686_); trivial.
% 21.04/21.10 apply (zenon_L2687_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2688_ *)
% 21.04/21.10 assert (zenon_L2689_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H2b9 zenon_H132 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H275 zenon_H2ab zenon_H328 zenon_H47b zenon_H2bc zenon_H2bb zenon_H2ba zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H6 zenon_H5 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H423 zenon_H335.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.10 apply (zenon_L2688_); trivial.
% 21.04/21.10 apply (zenon_L2435_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2689_ *)
% 21.04/21.10 assert (zenon_L2690_ : (forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (c0_1 (a1071)) -> (c1_1 (a1071)) -> (c3_1 (a1071)) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H84 zenon_Hc zenon_H205 zenon_H349 zenon_H35c zenon_H34a.
% 21.04/21.10 generalize (zenon_H84 (a1071)). zenon_intro zenon_H352.
% 21.04/21.10 apply (zenon_imply_s _ _ zenon_H352); [ zenon_intro zenon_Hb | zenon_intro zenon_H353 ].
% 21.04/21.10 exact (zenon_Hb zenon_Hc).
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H34b | zenon_intro zenon_H354 ].
% 21.04/21.10 generalize (zenon_H205 (a1071)). zenon_intro zenon_H64f.
% 21.04/21.10 apply (zenon_imply_s _ _ zenon_H64f); [ zenon_intro zenon_Hb | zenon_intro zenon_H650 ].
% 21.04/21.10 exact (zenon_Hb zenon_Hc).
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H650); [ zenon_intro zenon_H34f | zenon_intro zenon_H651 ].
% 21.04/21.10 exact (zenon_H34f zenon_H349).
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H651); [ zenon_intro zenon_H350 | zenon_intro zenon_H38e ].
% 21.04/21.10 exact (zenon_H34b zenon_H350).
% 21.04/21.10 exact (zenon_H38e zenon_H35c).
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H34f | zenon_intro zenon_H351 ].
% 21.04/21.10 exact (zenon_H34f zenon_H349).
% 21.04/21.10 exact (zenon_H351 zenon_H34a).
% 21.04/21.10 (* end of lemma zenon_L2690_ *)
% 21.04/21.10 assert (zenon_L2691_ : ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1071)) -> (c1_1 (a1071)) -> (c0_1 (a1071)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (c0_1 (a1049)) -> (c1_1 (a1049)) -> (c2_1 (a1049)) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H8c zenon_H34a zenon_H35c zenon_H349 zenon_H205 zenon_Hc zenon_H101 zenon_H100 zenon_Hff.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H80 | zenon_intro zenon_H8d ].
% 21.04/21.10 apply (zenon_L61_); trivial.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H84 | zenon_intro zenon_H88 ].
% 21.04/21.10 apply (zenon_L2690_); trivial.
% 21.04/21.10 apply (zenon_L64_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2691_ *)
% 21.04/21.10 assert (zenon_L2692_ : ((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (c2_1 (a1049)) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (~(hskp4)) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H359 zenon_H215 zenon_Hff zenon_H100 zenon_H101 zenon_H8c zenon_H471 zenon_H470 zenon_H46f zenon_H212.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hc. zenon_intro zenon_H35a.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H349. zenon_intro zenon_H34a.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H205 | zenon_intro zenon_H218 ].
% 21.04/21.10 apply (zenon_L2691_); trivial.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20f | zenon_intro zenon_H213 ].
% 21.04/21.10 apply (zenon_L630_); trivial.
% 21.04/21.10 exact (zenon_H212 zenon_H213).
% 21.04/21.10 (* end of lemma zenon_L2692_ *)
% 21.04/21.10 assert (zenon_L2693_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp34)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H11b zenon_H358 zenon_H215 zenon_H212 zenon_H8c zenon_H338 zenon_H471 zenon_H46f zenon_H470 zenon_H33e.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H336 | zenon_intro zenon_H359 ].
% 21.04/21.10 apply (zenon_L715_); trivial.
% 21.04/21.10 apply (zenon_L2692_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2693_ *)
% 21.04/21.10 assert (zenon_L2694_ : ((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp34)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H1ce zenon_H121 zenon_H358 zenon_H215 zenon_H212 zenon_H338 zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 21.04/21.10 apply (zenon_L1449_); trivial.
% 21.04/21.10 apply (zenon_L2693_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2694_ *)
% 21.04/21.10 assert (zenon_L2695_ : ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp34)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(hskp40)) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H1ed zenon_H121 zenon_H358 zenon_H215 zenon_H212 zenon_H338 zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H31 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H13b zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 21.04/21.10 apply (zenon_L226_); trivial.
% 21.04/21.10 apply (zenon_L2694_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2695_ *)
% 21.04/21.10 assert (zenon_L2696_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1031)) -> (c3_1 (a1031)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_Hc8 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H500 zenon_H1ed zenon_H1cf zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H230 zenon_H22e zenon_H22f zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H212 zenon_H215 zenon_H1ec.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.10 apply (zenon_L1985_); trivial.
% 21.04/21.10 apply (zenon_L2657_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2696_ *)
% 21.04/21.10 assert (zenon_L2697_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H37c zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc8.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 21.04/21.10 apply (zenon_L2696_); trivial.
% 21.04/21.10 apply (zenon_L2387_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2697_ *)
% 21.04/21.10 assert (zenon_L2698_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H237 zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H215 zenon_H212 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc8 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.10 apply (zenon_L1498_); trivial.
% 21.04/21.10 apply (zenon_L2697_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2698_ *)
% 21.04/21.10 assert (zenon_L2699_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H328 zenon_H47b zenon_H23c zenon_H132 zenon_H1eb zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H1c8 zenon_H387 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H265 zenon_H46d zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_Hc5 zenon_H358 zenon_H48c zenon_H48a zenon_H2af zenon_H2ad zenon_H2ae zenon_H273 zenon_H33e zenon_H93 zenon_H6c zenon_H212 zenon_H215 zenon_H219 zenon_H1ec zenon_Hc8 zenon_H1cf zenon_H165 zenon_H19e zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.10 apply (zenon_L3_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.10 apply (zenon_L777_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.10 apply (zenon_L2441_); trivial.
% 21.04/21.10 apply (zenon_L1181_); trivial.
% 21.04/21.10 apply (zenon_L2263_); trivial.
% 21.04/21.10 apply (zenon_L2664_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.10 apply (zenon_L777_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.10 apply (zenon_L2695_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 21.04/21.10 apply (zenon_L1180_); trivial.
% 21.04/21.10 apply (zenon_L631_); trivial.
% 21.04/21.10 apply (zenon_L1506_); trivial.
% 21.04/21.10 apply (zenon_L2698_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2699_ *)
% 21.04/21.10 assert (zenon_L2700_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7))))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bc zenon_H2bb zenon_H7a zenon_Hc zenon_H2af zenon_H592 zenon_H2ae zenon_H2ad.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 21.04/21.10 apply (zenon_L244_); trivial.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 21.04/21.10 apply (zenon_L959_); trivial.
% 21.04/21.10 apply (zenon_L1149_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2700_ *)
% 21.04/21.10 assert (zenon_L2701_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> (forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U))))) -> (c3_1 (a1044)) -> (~(c1_1 (a1044))) -> (c0_1 (a1044)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (ndr1_0) -> (~(hskp34)) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H59a zenon_H2ad zenon_H2ae zenon_H2af zenon_H2bb zenon_H2bc zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H273 zenon_H78 zenon_H507 zenon_H1e0 zenon_H1e1 zenon_H1df zenon_H8f zenon_H4ab zenon_H4ac zenon_H4aa zenon_Hc zenon_H338.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H59a); [ zenon_intro zenon_H592 | zenon_intro zenon_H59b ].
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 21.04/21.10 apply (zenon_L861_); trivial.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 21.04/21.10 exact (zenon_H78 zenon_H79).
% 21.04/21.10 apply (zenon_L2700_); trivial.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H59b); [ zenon_intro zenon_H596 | zenon_intro zenon_H339 ].
% 21.04/21.10 apply (zenon_L1151_); trivial.
% 21.04/21.10 exact (zenon_H338 zenon_H339).
% 21.04/21.10 (* end of lemma zenon_L2701_ *)
% 21.04/21.10 assert (zenon_L2702_ : ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp34)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> (c3_1 (a1044)) -> (~(hskp53)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp33)) -> (~(hskp15)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp1)) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H51a zenon_H338 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H8f zenon_H1df zenon_H1e1 zenon_H1e0 zenon_H78 zenon_H273 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H2bc zenon_H2bb zenon_H2af zenon_H2ae zenon_H2ad zenon_H59a zenon_H1c5 zenon_H1c3 zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_Hc zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c7 zenon_H4e1.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H507 | zenon_intro zenon_H51b ].
% 21.04/21.10 apply (zenon_L2701_); trivial.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H51b); [ zenon_intro zenon_H50e | zenon_intro zenon_H4e2 ].
% 21.04/21.10 apply (zenon_L806_); trivial.
% 21.04/21.10 exact (zenon_H4e1 zenon_H4e2).
% 21.04/21.10 (* end of lemma zenon_L2702_ *)
% 21.04/21.10 assert (zenon_L2703_ : ((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c1_1 (a1040)) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_H1e8 zenon_Ha3 zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H2bc zenon_H2bb zenon_H65 zenon_H64 zenon_H63 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 21.04/21.10 apply (zenon_L2702_); trivial.
% 21.04/21.10 apply (zenon_L2454_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2703_ *)
% 21.04/21.10 assert (zenon_L2704_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 21.04/21.10 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H59a zenon_H338 zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H4c2 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H51a zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.10 apply (zenon_L777_); trivial.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.10 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.10 apply (zenon_L2441_); trivial.
% 21.04/21.10 apply (zenon_L2703_); trivial.
% 21.04/21.10 (* end of lemma zenon_L2704_ *)
% 21.04/21.10 assert (zenon_L2705_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H1ec zenon_Hc8.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.11 apply (zenon_L2704_); trivial.
% 21.04/21.11 apply (zenon_L807_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2705_ *)
% 21.04/21.11 assert (zenon_L2706_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H23b zenon_H277 zenon_H275 zenon_H19e zenon_H165 zenon_H463 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_Hc8 zenon_H1ec zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H4c2 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H51a zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H166 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H183 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H387.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L2705_); trivial.
% 21.04/21.11 apply (zenon_L2664_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2706_ *)
% 21.04/21.11 assert (zenon_L2707_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H332 zenon_H47b zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1c8 zenon_H33e zenon_H358 zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H183 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H51a zenon_H423 zenon_H4c2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H1ec zenon_Hc8 zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H165 zenon_H19e zenon_H275 zenon_H277 zenon_H23b.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.11 apply (zenon_L2706_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L2705_); trivial.
% 21.04/21.11 apply (zenon_L2698_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2707_ *)
% 21.04/21.11 assert (zenon_L2708_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H51c zenon_H2b9 zenon_H51a zenon_H59a zenon_H48a zenon_H48c zenon_H2bc zenon_H2bb zenon_H2ba zenon_H328 zenon_H47b zenon_H56b zenon_H297 zenon_H295 zenon_H296 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ec zenon_H358 zenon_H33e zenon_H560 zenon_H149 zenon_H183 zenon_H54a zenon_H5ec zenon_H5eb zenon_H5ed zenon_H166 zenon_H500 zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H46d zenon_H219 zenon_H1ed zenon_H277 zenon_H275 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H1cf zenon_H1c8 zenon_H165 zenon_H19e zenon_H212 zenon_H215 zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H1dd zenon_H2e zenon_Hc0 zenon_H535 zenon_H533 zenon_H265 zenon_H273 zenon_H285 zenon_H1eb zenon_H132 zenon_H23c zenon_H387 zenon_H23b zenon_H6 zenon_H5 zenon_H40d zenon_H423 zenon_H335.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.11 apply (zenon_L2677_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.11 apply (zenon_L2699_); trivial.
% 21.04/21.11 apply (zenon_L2707_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2708_ *)
% 21.04/21.11 assert (zenon_L2709_ : ((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H3b2 zenon_H2de zenon_H51a zenon_H59a zenon_H560 zenon_H54a zenon_Hfb zenon_Hcc zenon_H308 zenon_Hdc zenon_H2f9 zenon_H307 zenon_H2e zenon_Hc0 zenon_H335 zenon_H423 zenon_H5 zenon_H6 zenon_H535 zenon_H533 zenon_H203 zenon_H1eb zenon_H387 zenon_H265 zenon_H56b zenon_H285 zenon_H358 zenon_H33e zenon_H328 zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H2b9 zenon_H47b zenon_H23c zenon_H1dd zenon_H1c8 zenon_H273 zenon_H132 zenon_H1ec zenon_H149 zenon_H48c zenon_H48a zenon_H4d4 zenon_H46d zenon_H219 zenon_H1ed zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b zenon_H4ab zenon_H4aa zenon_H4ac zenon_H53b zenon_H2e0.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 21.04/21.11 apply (zenon_L1427_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.11 apply (zenon_L2425_); trivial.
% 21.04/21.11 apply (zenon_L2683_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.11 apply (zenon_L2689_); trivial.
% 21.04/21.11 apply (zenon_L2708_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2709_ *)
% 21.04/21.11 assert (zenon_L2710_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a1089))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_H277 zenon_H275 zenon_H4f0 zenon_H4ef zenon_H4ed zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L251_); trivial.
% 21.04/21.11 apply (zenon_L2664_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2710_ *)
% 21.04/21.11 assert (zenon_L2711_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H1ec zenon_H215 zenon_H212 zenon_H560 zenon_H149 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H19e zenon_H33 zenon_H31 zenon_H165 zenon_Hc9 zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1cf zenon_H1ed zenon_H4ac zenon_H4aa zenon_H4ab zenon_H275 zenon_H277 zenon_Hc8 zenon_H33e zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L251_); trivial.
% 21.04/21.11 apply (zenon_L2662_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2711_ *)
% 21.04/21.11 assert (zenon_L2712_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H51c zenon_H47b zenon_H387 zenon_H23c zenon_H132 zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc5 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H560 zenon_H54a zenon_H1c8 zenon_H33e zenon_H358 zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H121 zenon_H1ed zenon_H275 zenon_H277 zenon_Hc8 zenon_H23b.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.11 apply (zenon_L2710_); trivial.
% 21.04/21.11 apply (zenon_L2711_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2712_ *)
% 21.04/21.11 assert (zenon_L2713_ : ((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H3b1 zenon_H53b zenon_H387 zenon_H23c zenon_H1eb zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H560 zenon_H54a zenon_H1c8 zenon_H33e zenon_H358 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H23b zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H215 zenon_H212 zenon_H40d zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1cf zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H132 zenon_H1ec zenon_H219 zenon_H46d zenon_H149 zenon_H4d4 zenon_H48a zenon_H48c zenon_H319 zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H121 zenon_H1ed zenon_H2ab zenon_H47b zenon_H2b9.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.11 apply (zenon_L2462_); trivial.
% 21.04/21.11 apply (zenon_L2712_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2713_ *)
% 21.04/21.11 assert (zenon_L2714_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp35)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1bc zenon_H1c8 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.11 apply (zenon_L1445_); trivial.
% 21.04/21.11 apply (zenon_L819_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2714_ *)
% 21.04/21.11 assert (zenon_L2715_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H237 zenon_H23c zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_H6c zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 21.04/21.11 apply (zenon_L2714_); trivial.
% 21.04/21.11 apply (zenon_L2405_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2715_ *)
% 21.04/21.11 assert (zenon_L2716_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H149 zenon_H463 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L927_); trivial.
% 21.04/21.11 apply (zenon_L2715_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2716_ *)
% 21.04/21.11 assert (zenon_L2717_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H32b zenon_H32a zenon_H329 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.11 apply (zenon_L2277_); trivial.
% 21.04/21.11 apply (zenon_L276_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2717_ *)
% 21.04/21.11 assert (zenon_L2718_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H23b zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H183 zenon_H8f zenon_H166 zenon_H165 zenon_Ha3 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H8c zenon_H329 zenon_H32a zenon_H32b zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_Hc8.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L1024_); trivial.
% 21.04/21.11 apply (zenon_L2717_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2718_ *)
% 21.04/21.11 assert (zenon_L2719_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H332 zenon_H47b zenon_Hc5 zenon_H5b0 zenon_H6c zenon_H93 zenon_H1dd zenon_Hc8 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H8c zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8f zenon_H183 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H23b.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.11 apply (zenon_L2718_); trivial.
% 21.04/21.11 apply (zenon_L2120_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2719_ *)
% 21.04/21.11 assert (zenon_L2720_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H256 zenon_H25e zenon_H255 zenon_H265 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H1cf zenon_H46d zenon_H5eb zenon_H5ed zenon_H165 zenon_H19e zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.11 apply (zenon_L3_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.11 apply (zenon_L1223_); trivial.
% 21.04/21.11 apply (zenon_L916_); trivial.
% 21.04/21.11 apply (zenon_L2291_); trivial.
% 21.04/21.11 apply (zenon_L2120_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2720_ *)
% 21.04/21.11 assert (zenon_L2721_ : ((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H2b6 zenon_H335 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H5 zenon_H6 zenon_H23b zenon_H19e zenon_H165 zenon_H5ed zenon_H5eb zenon_H46d zenon_H1cf zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H5b0 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H265 zenon_H255 zenon_H25e zenon_H256 zenon_H275 zenon_H277 zenon_H285 zenon_H387 zenon_H47b zenon_H328.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.11 apply (zenon_L2720_); trivial.
% 21.04/21.11 apply (zenon_L2719_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2721_ *)
% 21.04/21.11 assert (zenon_L2722_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H325 zenon_H47b zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H9 zenon_H5b0 zenon_H273 zenon_H2e zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H285 zenon_H56b zenon_H297 zenon_H295 zenon_H296 zenon_H265 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.11 apply (zenon_L2716_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L2410_); trivial.
% 21.04/21.11 apply (zenon_L2135_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2722_ *)
% 21.04/21.11 assert (zenon_L2723_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H387 zenon_H215 zenon_H212 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.11 apply (zenon_L1223_); trivial.
% 21.04/21.11 apply (zenon_L1677_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2723_ *)
% 21.04/21.11 assert (zenon_L2724_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H237 zenon_H219 zenon_H2e zenon_H46d zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_H9 zenon_Hf zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 21.04/21.11 apply (zenon_L2115_); trivial.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc. zenon_intro zenon_H216.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H207. zenon_intro zenon_H217.
% 21.04/21.11 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H208. zenon_intro zenon_H206.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 21.04/21.11 apply (zenon_L1197_); trivial.
% 21.04/21.11 apply (zenon_L1541_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2724_ *)
% 21.04/21.11 assert (zenon_L2725_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp31)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.11 do 0 intro. intros zenon_H23b zenon_H2e zenon_H9 zenon_Hf zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H219 zenon_H46d zenon_H5ed zenon_H5eb zenon_H5ec zenon_H463 zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H212 zenon_H215 zenon_H387.
% 21.04/21.11 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.11 apply (zenon_L2723_); trivial.
% 21.04/21.11 apply (zenon_L2724_); trivial.
% 21.04/21.11 (* end of lemma zenon_L2725_ *)
% 21.04/21.11 assert (zenon_L2726_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.12 apply (zenon_L1223_); trivial.
% 21.04/21.12 apply (zenon_L1506_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2726_ *)
% 21.04/21.12 assert (zenon_L2727_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hf zenon_H9 zenon_H2e zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L2726_); trivial.
% 21.04/21.12 apply (zenon_L2135_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2727_ *)
% 21.04/21.12 assert (zenon_L2728_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H23b zenon_H1cf zenon_H46d zenon_H5eb zenon_H5ed zenon_H463 zenon_H165 zenon_H19e zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H93 zenon_H6c zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H1eb zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L1241_); trivial.
% 21.04/21.12 apply (zenon_L2301_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2728_ *)
% 21.04/21.12 assert (zenon_L2729_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H332 zenon_H47b zenon_H387 zenon_H51a zenon_H4e1 zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1eb zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H6c zenon_H93 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H19e zenon_H165 zenon_H5ed zenon_H5eb zenon_H46d zenon_H1cf zenon_H23b.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.12 apply (zenon_L2728_); trivial.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L1241_); trivial.
% 21.04/21.12 apply (zenon_L2281_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2729_ *)
% 21.04/21.12 assert (zenon_L2730_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H49b zenon_H49a zenon_H499 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H33e zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.12 apply (zenon_L2716_); trivial.
% 21.04/21.12 apply (zenon_L2285_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2730_ *)
% 21.04/21.12 assert (zenon_L2731_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H328 zenon_H47b zenon_H387 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H49b zenon_H49a zenon_H499 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H33e zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.12 apply (zenon_L3_); trivial.
% 21.04/21.12 apply (zenon_L2730_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2731_ *)
% 21.04/21.12 assert (zenon_L2732_ : ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1078)) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (~(c3_1 (a1064))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H2e0 zenon_Hc5 zenon_H277 zenon_H275 zenon_H273 zenon_H8c zenon_H2ba zenon_H2bc zenon_H2bb zenon_H49a zenon_H499 zenon_H49b zenon_H40d zenon_H1b zenon_Hc zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 21.04/21.12 apply (zenon_L1427_); trivial.
% 21.04/21.12 apply (zenon_L1258_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2732_ *)
% 21.04/21.12 assert (zenon_L2733_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp31)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H387 zenon_H215 zenon_H212 zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H463 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H46d zenon_H219 zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H93 zenon_H6c zenon_H277 zenon_H275 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc8.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.12 apply (zenon_L1268_); trivial.
% 21.04/21.12 apply (zenon_L2263_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2733_ *)
% 21.04/21.12 assert (zenon_L2734_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> (~(c0_1 (a1079))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (ndr1_0) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H387 zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H265 zenon_H10 zenon_H12 zenon_H11 zenon_H296 zenon_H295 zenon_H297 zenon_H203 zenon_H56b zenon_H285 zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H93 zenon_H6c zenon_H277 zenon_H275 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc8.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.12 apply (zenon_L1268_); trivial.
% 21.04/21.12 apply (zenon_L1506_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2734_ *)
% 21.04/21.12 assert (zenon_L2735_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1032))) -> (~(c2_1 (a1032))) -> (c3_1 (a1032)) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_Hc5 zenon_H183 zenon_H22e zenon_H230 zenon_H5b0 zenon_H273 zenon_H37f zenon_H35f zenon_H35e zenon_H22f zenon_H166 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H8c zenon_H93 zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 21.04/21.12 apply (zenon_L1197_); trivial.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 21.04/21.12 apply (zenon_L1200_); trivial.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc. zenon_intro zenon_Hc1.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha6. zenon_intro zenon_Hc2.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha7.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H15f | zenon_intro zenon_H180 ].
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 21.04/21.12 apply (zenon_L748_); trivial.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H5b0); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H5b1 ].
% 21.04/21.12 apply (zenon_L213_); trivial.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H5b1); [ zenon_intro zenon_H5a3 | zenon_intro zenon_H5ac ].
% 21.04/21.12 apply (zenon_L1263_); trivial.
% 21.04/21.12 apply (zenon_L1232_); trivial.
% 21.04/21.12 exact (zenon_H275 zenon_H276).
% 21.04/21.12 apply (zenon_L1235_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2735_ *)
% 21.04/21.12 assert (zenon_L2736_ : ((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1031))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c0_1 (a1028)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H37c zenon_Hc8 zenon_Hc5 zenon_H183 zenon_H22e zenon_H230 zenon_H5b0 zenon_H273 zenon_H22f zenon_H166 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H8c zenon_H470 zenon_H471 zenon_H46f zenon_H1dd zenon_H121.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Hc. zenon_intro zenon_H37d.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H35f. zenon_intro zenon_H37e.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H37f. zenon_intro zenon_H35e.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.12 apply (zenon_L2119_); trivial.
% 21.04/21.12 apply (zenon_L2735_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2736_ *)
% 21.04/21.12 assert (zenon_L2737_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H237 zenon_H387 zenon_Hc8 zenon_Hc5 zenon_H5b0 zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H121 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H183 zenon_H8c zenon_H166 zenon_H8f zenon_Ha3 zenon_H358.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.12 apply (zenon_L1498_); trivial.
% 21.04/21.12 apply (zenon_L2736_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2737_ *)
% 21.04/21.12 assert (zenon_L2738_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c0_1 (a1079))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H285 zenon_H56b zenon_H203 zenon_H297 zenon_H295 zenon_H296 zenon_H11 zenon_H12 zenon_H10 zenon_H265 zenon_H212 zenon_H215 zenon_H219 zenon_H387.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L2734_); trivial.
% 21.04/21.12 apply (zenon_L2737_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2738_ *)
% 21.04/21.12 assert (zenon_L2739_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H23b zenon_H1cf zenon_H46d zenon_H5eb zenon_H5ed zenon_H463 zenon_H165 zenon_H19e zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L1270_); trivial.
% 21.04/21.12 apply (zenon_L2301_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2739_ *)
% 21.04/21.12 assert (zenon_L2740_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> (c3_1 (a1028)) -> (~(hskp34)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_Hc8 zenon_H1ec zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H4c2 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H51a zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H33e zenon_H470 zenon_H46f zenon_H471 zenon_H338 zenon_H212 zenon_H215 zenon_H358 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.12 apply (zenon_L777_); trivial.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.12 apply (zenon_L2695_); trivial.
% 21.04/21.12 apply (zenon_L2703_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2740_ *)
% 21.04/21.12 assert (zenon_L2741_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (~(c1_1 (a1028))) -> (c0_1 (a1028)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (c1_1 (a1039)) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H387 zenon_Hc9 zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H1ed zenon_H121 zenon_H358 zenon_H215 zenon_H212 zenon_H471 zenon_H46f zenon_H470 zenon_H33e zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H51a zenon_H423 zenon_H329 zenon_H32b zenon_H32a zenon_H4c2 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4aa zenon_H4ac zenon_H4ab zenon_H59a zenon_H1ec zenon_Hc8.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.12 apply (zenon_L2740_); trivial.
% 21.04/21.12 apply (zenon_L807_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2741_ *)
% 21.04/21.12 assert (zenon_L2742_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> (c1_1 (a1039)) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H478 zenon_H23b zenon_Hc5 zenon_H5b0 zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H183 zenon_H166 zenon_Hc8 zenon_H1ec zenon_H59a zenon_H4ab zenon_H4ac zenon_H4aa zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H4c2 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H51a zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H5b2 zenon_H59f zenon_H5a1 zenon_H33e zenon_H212 zenon_H215 zenon_H358 zenon_H121 zenon_H1ed zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H387.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L2741_); trivial.
% 21.04/21.12 apply (zenon_L2737_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2742_ *)
% 21.04/21.12 assert (zenon_L2743_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> (c0_1 (a1036)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H332 zenon_H47b zenon_H5ec zenon_H212 zenon_H215 zenon_H4e3 zenon_H387 zenon_H51a zenon_H4e1 zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1ec zenon_H121 zenon_H358 zenon_H1dd zenon_H33e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H149 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H33 zenon_H31 zenon_Ha3 zenon_H1c7 zenon_H1c3 zenon_H5b2 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H166 zenon_H500 zenon_H8c zenon_H8f zenon_H183 zenon_H319 zenon_Hc9 zenon_H1ed zenon_H93 zenon_H6c zenon_H277 zenon_H275 zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc8 zenon_H19e zenon_H165 zenon_H5ed zenon_H5eb zenon_H46d zenon_H1cf zenon_H23b.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.12 apply (zenon_L2739_); trivial.
% 21.04/21.12 apply (zenon_L2742_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2743_ *)
% 21.04/21.12 assert (zenon_L2744_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c2_1 (a1040)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H277 zenon_H65 zenon_H63 zenon_H64 zenon_H8c zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hc zenon_H3f7 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H157 zenon_H500 zenon_H275.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H250 | zenon_intro zenon_H278 ].
% 21.04/21.12 apply (zenon_L244_); trivial.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H26c | zenon_intro zenon_H276 ].
% 21.04/21.12 apply (zenon_L2042_); trivial.
% 21.04/21.12 exact (zenon_H275 zenon_H276).
% 21.04/21.12 (* end of lemma zenon_L2744_ *)
% 21.04/21.12 assert (zenon_L2745_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (ndr1_0) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp13)) -> (~(hskp43)) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H5a1 zenon_H275 zenon_H500 zenon_H157 zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_Hc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H8c zenon_H64 zenon_H63 zenon_H65 zenon_H277 zenon_H59f zenon_Hee.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H5a2 ].
% 21.04/21.12 apply (zenon_L2744_); trivial.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_H5a0 | zenon_intro zenon_Hef ].
% 21.04/21.12 exact (zenon_H59f zenon_H5a0).
% 21.04/21.12 exact (zenon_Hee zenon_Hef).
% 21.04/21.12 (* end of lemma zenon_L2745_ *)
% 21.04/21.12 assert (zenon_L2746_ : ((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_Hc4 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H5a1 zenon_H59f zenon_H8c zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hc. zenon_intro zenon_Hc6.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H65. zenon_intro zenon_Hc7.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H63. zenon_intro zenon_H64.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 21.04/21.12 apply (zenon_L2745_); trivial.
% 21.04/21.12 apply (zenon_L1562_); trivial.
% 21.04/21.12 apply (zenon_L1565_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2746_ *)
% 21.04/21.12 assert (zenon_L2747_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp31)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_Hc8 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H463 zenon_H5a1 zenon_H59f zenon_H8c zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_H121 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hc9.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.12 apply (zenon_L777_); trivial.
% 21.04/21.12 apply (zenon_L2746_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2747_ *)
% 21.04/21.12 assert (zenon_L2748_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> (~(hskp34)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1031))) -> (c3_1 (a1031)) -> (c2_1 (a1031)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H338 zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H22f zenon_H22e zenon_H230 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.12 apply (zenon_L2277_); trivial.
% 21.04/21.12 apply (zenon_L1267_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2748_ *)
% 21.04/21.12 assert (zenon_L2749_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp31)) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H237 zenon_H387 zenon_H156 zenon_H157 zenon_H158 zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_H463 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H277 zenon_H275 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc8.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.12 apply (zenon_L2748_); trivial.
% 21.04/21.12 apply (zenon_L2305_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2749_ *)
% 21.04/21.12 assert (zenon_L2750_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c0_1 (a1091))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp31)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H23b zenon_H387 zenon_H1cf zenon_Ha3 zenon_H165 zenon_H166 zenon_H8f zenon_H183 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H93 zenon_H6c zenon_H2ba zenon_H2bb zenon_H2bc zenon_H273 zenon_H2ad zenon_H2ae zenon_H2af zenon_H5b0 zenon_H59a zenon_Hc5 zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_H121 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H277 zenon_H275 zenon_H156 zenon_H158 zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H8c zenon_H59f zenon_H5a1 zenon_H463 zenon_H215 zenon_H212 zenon_H46d zenon_H219 zenon_Hc8.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L2747_); trivial.
% 21.04/21.12 apply (zenon_L2749_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2750_ *)
% 21.04/21.12 assert (zenon_L2751_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1078)) -> (~(c1_1 (a1078))) -> (c0_1 (a1078)) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H325 zenon_H47b zenon_H1dd zenon_Hc8 zenon_H219 zenon_H46d zenon_H212 zenon_H215 zenon_H5a1 zenon_H59f zenon_H8c zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H158 zenon_H156 zenon_H275 zenon_H277 zenon_H203 zenon_H121 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_Hc5 zenon_H59a zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H6c zenon_H93 zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H183 zenon_H8f zenon_H166 zenon_H165 zenon_Ha3 zenon_H1cf zenon_H387 zenon_H23b.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.12 apply (zenon_L2750_); trivial.
% 21.04/21.12 apply (zenon_L2309_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2751_ *)
% 21.04/21.12 assert (zenon_L2752_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(hskp31)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (ndr1_0) -> (c0_1 (a1078)) -> (~(c1_1 (a1078))) -> (c2_1 (a1078)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H23b zenon_H156 zenon_H157 zenon_H158 zenon_H1cf zenon_H46d zenon_H5eb zenon_H5ed zenon_H463 zenon_H165 zenon_H19e zenon_Hc8 zenon_Hc5 zenon_H59a zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H275 zenon_H277 zenon_H6c zenon_H93 zenon_H1ed zenon_Hc9 zenon_H319 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H166 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H5b2 zenon_H1c3 zenon_H1c7 zenon_Ha3 zenon_H31 zenon_H33 zenon_Hc zenon_H2ba zenon_H2bb zenon_H2bc zenon_H149 zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H33e zenon_H1dd zenon_H358 zenon_H121 zenon_H1ec zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32a zenon_H32b zenon_H329 zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L1270_); trivial.
% 21.04/21.12 apply (zenon_L2306_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2752_ *)
% 21.04/21.12 assert (zenon_L2753_ : ((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H325 zenon_H47b zenon_H387 zenon_H4aa zenon_H4ab zenon_H4ac zenon_Hf zenon_H9 zenon_H5b0 zenon_H273 zenon_H2e zenon_H49b zenon_H49a zenon_H499 zenon_H1dd zenon_H33e zenon_H358 zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c3 zenon_H1c7 zenon_Hc9 zenon_H297 zenon_H296 zenon_H295 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H1c8 zenon_H19e zenon_H183 zenon_H166 zenon_H165 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H121 zenon_H203 zenon_H5a1 zenon_H59f zenon_H219 zenon_H533 zenon_H535 zenon_H23c zenon_H23b.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.12 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.12 apply (zenon_L2407_); trivial.
% 21.04/21.12 apply (zenon_L2136_); trivial.
% 21.04/21.12 (* end of lemma zenon_L2753_ *)
% 21.04/21.12 assert (zenon_L2754_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 21.04/21.12 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1ed zenon_H121 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H149 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H1cf zenon_H212 zenon_H215 zenon_H1ec zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 21.04/21.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.12 apply (zenon_L251_); trivial.
% 21.04/21.12 apply (zenon_L2674_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2754_ *)
% 21.04/21.13 assert (zenon_L2755_ : ((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H237 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_Hc. zenon_intro zenon_H238.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H22e. zenon_intro zenon_H239.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H230.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.13 apply (zenon_L2277_); trivial.
% 21.04/21.13 apply (zenon_L819_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2755_ *)
% 21.04/21.13 assert (zenon_L2756_ : ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> (~(hskp31)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (ndr1_0) -> (c3_1 (a1077)) -> (~(c2_1 (a1077))) -> (~(c0_1 (a1077))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H23b zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H29e zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_H19e zenon_H33 zenon_H31 zenon_H183 zenon_H8f zenon_H8c zenon_H166 zenon_H165 zenon_Ha3 zenon_Hc9 zenon_H463 zenon_H500 zenon_H5ed zenon_H5eb zenon_H4ac zenon_H4aa zenon_H4ab zenon_H46d zenon_H1cf zenon_H121 zenon_Hc zenon_H2e3 zenon_H2e2 zenon_H2e1 zenon_H1c3 zenon_H1c7.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.13 apply (zenon_L251_); trivial.
% 21.04/21.13 apply (zenon_L2755_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2756_ *)
% 21.04/21.13 assert (zenon_L2757_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c2_1 (a1083)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c2_1 (a1079))) -> (c1_1 (a1079)) -> (~(c0_1 (a1079))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c0_1 (a1077))) -> (~(c2_1 (a1077))) -> (c3_1 (a1077)) -> (ndr1_0) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H47b zenon_H387 zenon_H5b0 zenon_H273 zenon_H156 zenon_H157 zenon_H158 zenon_H358 zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H33e zenon_H1c7 zenon_H1c3 zenon_H2e1 zenon_H2e2 zenon_H2e3 zenon_Hc zenon_H121 zenon_H1cf zenon_H46d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5eb zenon_H5ed zenon_H500 zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H6c zenon_H93 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H29e zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H23b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2756_); trivial.
% 21.04/21.13 apply (zenon_L2285_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2757_ *)
% 21.04/21.13 assert (zenon_L2758_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (c1_1 (a1039)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H4a2 zenon_H3af zenon_H2de zenon_H2df zenon_H423 zenon_H40d zenon_H56b zenon_H2e zenon_Hf zenon_H51a zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_H335 zenon_H5 zenon_H6 zenon_H23b zenon_H23c zenon_H535 zenon_H533 zenon_H219 zenon_H59f zenon_H5a1 zenon_H203 zenon_H121 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H1cf zenon_H46d zenon_H500 zenon_H149 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H1c8 zenon_H5b2 zenon_H319 zenon_H1ed zenon_Hc9 zenon_H1c7 zenon_H1c3 zenon_H4c1 zenon_H4c3 zenon_H4e1 zenon_H4e3 zenon_H31 zenon_H33 zenon_Ha3 zenon_H6c zenon_H8c zenon_H8f zenon_H93 zenon_H4c2 zenon_H2a6 zenon_Hc5 zenon_Hc8 zenon_H1dd zenon_H4aa zenon_H4ab zenon_H4ac zenon_H273 zenon_H5b0 zenon_H47b zenon_H328 zenon_H387 zenon_H285 zenon_H277 zenon_H275 zenon_H265 zenon_H358 zenon_H33e zenon_H137 zenon_H59a zenon_H2b9 zenon_H2e0 zenon_H3b0.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 21.04/21.13 apply (zenon_L1427_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2716_); trivial.
% 21.04/21.13 apply (zenon_L2120_); trivial.
% 21.04/21.13 apply (zenon_L2719_); trivial.
% 21.04/21.13 apply (zenon_L2721_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_L2722_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2675_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.13 apply (zenon_L927_); trivial.
% 21.04/21.13 apply (zenon_L2281_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2725_); trivial.
% 21.04/21.13 apply (zenon_L2727_); trivial.
% 21.04/21.13 apply (zenon_L2729_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_L2731_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2675_); trivial.
% 21.04/21.13 apply (zenon_L2285_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.13 apply (zenon_L2723_); trivial.
% 21.04/21.13 apply (zenon_L2306_); trivial.
% 21.04/21.13 apply (zenon_L2309_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2728_); trivial.
% 21.04/21.13 apply (zenon_L2309_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_Hc. zenon_intro zenon_H3b3.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H2bc. zenon_intro zenon_H3b4.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H2ba. zenon_intro zenon_H2bb.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.13 apply (zenon_L2732_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_L1260_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.13 apply (zenon_L2733_); trivial.
% 21.04/21.13 apply (zenon_L2298_); trivial.
% 21.04/21.13 apply (zenon_L2738_); trivial.
% 21.04/21.13 apply (zenon_L2743_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_L1260_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_L2751_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2752_); trivial.
% 21.04/21.13 apply (zenon_L2742_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_Hc. zenon_intro zenon_H3b5.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H2e1. zenon_intro zenon_H3b6.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.13 apply (zenon_L2294_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_L2753_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2754_); trivial.
% 21.04/21.13 apply (zenon_L2303_); trivial.
% 21.04/21.13 apply (zenon_L2304_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_Hc. zenon_intro zenon_H23d.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H156. zenon_intro zenon_H23e.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H157. zenon_intro zenon_H158.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_L2757_); trivial.
% 21.04/21.13 apply (zenon_L2310_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2758_ *)
% 21.04/21.13 assert (zenon_L2759_ : ((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp31)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c1_1 (a1049)) -> (c0_1 (a1049)) -> (c2_1 (a1049)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H1cb zenon_Hc5 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H463 zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H423 zenon_H100 zenon_H101 zenon_Hff zenon_H8c zenon_H183.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_Hc. zenon_intro zenon_H1cc.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b7. zenon_intro zenon_H1cd.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1af. zenon_intro zenon_H1ad.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 21.04/21.13 apply (zenon_L1319_); trivial.
% 21.04/21.13 apply (zenon_L2032_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2759_ *)
% 21.04/21.13 assert (zenon_L2760_ : ((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp31)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c3_1 (a1064))) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H11b zenon_H1cf zenon_Hc5 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H463 zenon_H40d zenon_H49b zenon_H499 zenon_H49a zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H2f zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hc. zenon_intro zenon_H11d.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H101. zenon_intro zenon_H11e.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hff. zenon_intro zenon_H100.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 21.04/21.13 apply (zenon_L1314_); trivial.
% 21.04/21.13 apply (zenon_L2759_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2760_ *)
% 21.04/21.13 assert (zenon_L2761_ : ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp31)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp38)) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H121 zenon_H1cf zenon_Hc5 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H463 zenon_H40d zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H2f zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hee | zenon_intro zenon_H11b ].
% 21.04/21.13 apply (zenon_L1197_); trivial.
% 21.04/21.13 apply (zenon_L2760_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2761_ *)
% 21.04/21.13 assert (zenon_L2762_ : ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> (~(c0_1 (a1079))) -> (c1_1 (a1079)) -> (~(c2_1 (a1079))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> (~(c3_1 (a1064))) -> (c2_1 (a1064)) -> (c0_1 (a1064)) -> (ndr1_0) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (c2_1 (a1059)) -> (c3_1 (a1059)) -> (~(c1_1 (a1059))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c3_1 (a1021))) -> (~(c1_1 (a1021))) -> (c2_1 (a1021)) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp31)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_Hc8 zenon_H2a6 zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H93 zenon_H6c zenon_H5a1 zenon_H59f zenon_H49b zenon_H49a zenon_H499 zenon_Hc zenon_H19e zenon_Ha3 zenon_H8f zenon_H33 zenon_H31 zenon_H165 zenon_H342 zenon_H340 zenon_H341 zenon_H166 zenon_H8c zenon_H183 zenon_Hc9 zenon_H423 zenon_H329 zenon_H32a zenon_H32b zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H40d zenon_H463 zenon_H277 zenon_H275 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_Hc5 zenon_H1cf zenon_H121.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.13 apply (zenon_L2761_); trivial.
% 21.04/21.13 apply (zenon_L215_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2762_ *)
% 21.04/21.13 assert (zenon_L2763_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp31)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> (c2_1 (a1021)) -> (~(c1_1 (a1021))) -> (~(c3_1 (a1021))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> (c2_1 (a1059)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (ndr1_0) -> (c0_1 (a1064)) -> (c2_1 (a1064)) -> (~(c3_1 (a1064))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> (~(c0_1 (a1091))) -> (~(c2_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H387 zenon_H121 zenon_H1cf zenon_Hc5 zenon_H46d zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H275 zenon_H277 zenon_H463 zenon_H40d zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H32b zenon_H32a zenon_H329 zenon_H423 zenon_Hc9 zenon_H183 zenon_H8c zenon_H166 zenon_H341 zenon_H340 zenon_H342 zenon_H165 zenon_H31 zenon_H33 zenon_H8f zenon_Ha3 zenon_H19e zenon_Hc zenon_H499 zenon_H49a zenon_H49b zenon_H59f zenon_H5a1 zenon_H93 zenon_H6c zenon_H5b0 zenon_H2af zenon_H2ae zenon_H2ad zenon_H273 zenon_H4ac zenon_H4ab zenon_H4aa zenon_H59a zenon_Hc8.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H2f | zenon_intro zenon_Hc4 ].
% 21.04/21.13 apply (zenon_L2761_); trivial.
% 21.04/21.13 apply (zenon_L1226_); trivial.
% 21.04/21.13 apply (zenon_L2034_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2763_ *)
% 21.04/21.13 assert (zenon_L2764_ : ((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (c2_1 (a1059)) -> (~(c1_1 (a1059))) -> (c3_1 (a1059)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H4a2 zenon_H2de zenon_H2b9 zenon_H59a zenon_H5b0 zenon_Hc8 zenon_H2a6 zenon_H93 zenon_H6c zenon_H19e zenon_Ha3 zenon_H8f zenon_H33 zenon_H31 zenon_H165 zenon_H166 zenon_H183 zenon_Hc9 zenon_H423 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H40d zenon_H277 zenon_H275 zenon_Hc5 zenon_H1cf zenon_H33e zenon_H1dd zenon_H358 zenon_H387 zenon_H20 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H328 zenon_H47b zenon_H121 zenon_H203 zenon_H342 zenon_H341 zenon_H340 zenon_H8c zenon_H59f zenon_H5a1 zenon_H215 zenon_H212 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H46d zenon_H219 zenon_H6 zenon_H5 zenon_H273 zenon_H335 zenon_H2e0.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_Hc. zenon_intro zenon_H4a3.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49a. zenon_intro zenon_H4a4.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H499. zenon_intro zenon_H49b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.13 apply (zenon_L2027_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_Hc. zenon_intro zenon_H2dc.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H296. zenon_intro zenon_H2dd.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H297. zenon_intro zenon_H295.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_L2024_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2762_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.13 apply (zenon_L2409_); trivial.
% 21.04/21.13 apply (zenon_L2034_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hc. zenon_intro zenon_H2b7.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2ad. zenon_intro zenon_H2b8.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2af. zenon_intro zenon_H2ae.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.13 apply (zenon_L2024_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.13 apply (zenon_L2763_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.13 apply (zenon_L2308_); trivial.
% 21.04/21.13 apply (zenon_L2034_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2764_ *)
% 21.04/21.13 assert (zenon_L2765_ : ((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(c2_1 (a1039))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> (~(hskp14)) -> ((hskp46)\/((hskp38)\/(hskp14))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> (~(c1_1 (a1036))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H4a7 zenon_H4a6 zenon_H59a zenon_H5b0 zenon_H423 zenon_H40d zenon_H33e zenon_H1dd zenon_H358 zenon_H387 zenon_H4aa zenon_H4ab zenon_H4ac zenon_H121 zenon_H59f zenon_H5a1 zenon_H2e0 zenon_H53b zenon_H277 zenon_H1ed zenon_H319 zenon_H5b2 zenon_H54a zenon_H149 zenon_H560 zenon_H1ec zenon_H335 zenon_H273 zenon_H5 zenon_H6 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c3 zenon_H4c2 zenon_H4c1 zenon_H93 zenon_H6c zenon_H1cf zenon_H203 zenon_H48c zenon_Hc9 zenon_Ha3 zenon_H165 zenon_H166 zenon_H8c zenon_H8f zenon_H183 zenon_H31 zenon_H33 zenon_H19e zenon_H215 zenon_H212 zenon_H500 zenon_H46d zenon_H219 zenon_H47b zenon_H328 zenon_H132 zenon_H4d4 zenon_H275 zenon_H2ab zenon_H2b9 zenon_H5ed zenon_H5ec zenon_H5eb zenon_H20 zenon_H2de.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_Hc. zenon_intro zenon_H4a8.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H340. zenon_intro zenon_H4a9.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H342. zenon_intro zenon_H341.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 21.04/21.13 apply (zenon_L2483_); trivial.
% 21.04/21.13 apply (zenon_L2764_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2765_ *)
% 21.04/21.13 assert (zenon_L2766_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a1059))/\((c2_1 (a1059))/\(~(c1_1 (a1059))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a1077)))/\((c3_1 (a1077))/\(~(c2_1 (a1077))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1079))/\((~(c0_1 (a1079)))/\(~(c2_1 (a1079))))))) -> ((hskp33)\/((forall X5 : zenon_U, ((ndr1_0)->((~(c1_1 X5))\/((c2_1 X5)\/(c0_1 X5)))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c1_1 X6))\/((~(c3_1 X6))\/(~(c2_1 X6)))))))) -> ((hskp19)\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((~(c0_1 X55))\/(c3_1 X55)))))\/(hskp20))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1036))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp43))\/((ndr1_0)/\((c0_1 (a1049))/\((c2_1 (a1049))/\(c1_1 (a1049)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c2_1 X1))\/(c3_1 X1)))))\/((hskp13)\/(hskp43))) -> (~(hskp13)) -> ((hskp48)\/((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((c2_1 X74)\/(c1_1 X74)))))\/(hskp14))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (c1_1 (a1039)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp46)\/((hskp38)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/((hskp1)\/(forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))))) -> (~(hskp1)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp46))\/((ndr1_0)/\((~(c1_1 (a1053)))/\((~(c2_1 (a1053)))/\(c0_1 (a1053)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((forall X68 : zenon_U, ((ndr1_0)->((~(c1_1 X68))\/((~(c2_1 X68))\/(~(c3_1 X68))))))\/((hskp36)\/(forall X69 : zenon_U, ((ndr1_0)->((~(c1_1 X69))\/((c0_1 X69)\/(~(c3_1 X69)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((c1_1 X8)\/(~(c0_1 X8))))))\/(hskp34))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1080)))/\((~(c2_1 (a1080)))/\(~(c1_1 (a1080))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1078))/\((c0_1 (a1078))/\(~(c1_1 (a1078))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c3_1 X53)\/((~(c0_1 X53))\/(c1_1 X53)))))\/(forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c1_1 X54))\/(c3_1 X54))))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1064))/\((c0_1 (a1064))/\(~(c3_1 (a1064))))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H4a5 zenon_H3af zenon_H2de zenon_H56b zenon_H20 zenon_H5eb zenon_H5ec zenon_H5ed zenon_Hc zenon_H2b9 zenon_H47b zenon_H132 zenon_H1eb zenon_H1ec zenon_H149 zenon_H48c zenon_H4d4 zenon_H46d zenon_H219 zenon_H1ed zenon_H137 zenon_H2ab zenon_H121 zenon_H5a1 zenon_H59f zenon_H5b2 zenon_H319 zenon_Hc8 zenon_Hc5 zenon_H2a6 zenon_H4c2 zenon_H93 zenon_H8f zenon_H8c zenon_H6c zenon_Ha3 zenon_H33 zenon_H31 zenon_H4e3 zenon_H4e1 zenon_H4c3 zenon_H4c1 zenon_H1c7 zenon_Hc9 zenon_H1cf zenon_H277 zenon_H275 zenon_H500 zenon_H40d zenon_H212 zenon_H215 zenon_H165 zenon_H166 zenon_H183 zenon_H19e zenon_H23b zenon_H335 zenon_H5 zenon_H6 zenon_H387 zenon_H23c zenon_H285 zenon_H273 zenon_H265 zenon_H533 zenon_H535 zenon_Hc0 zenon_H2e zenon_H1dd zenon_H307 zenon_H2f9 zenon_Hdc zenon_H308 zenon_Hcc zenon_Hfb zenon_H1c8 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H203 zenon_H54a zenon_H560 zenon_H33e zenon_H358 zenon_H328 zenon_H59a zenon_H423 zenon_H51a zenon_H53b zenon_H2e0 zenon_H3b0 zenon_H5b0 zenon_Hf zenon_H2df zenon_H4a6.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H4a7 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H48a | zenon_intro zenon_H4a2 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H138 | zenon_intro zenon_H3b1 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H135 | zenon_intro zenon_H3b2 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1b | zenon_intro zenon_H2db ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d8 ].
% 21.04/21.13 apply (zenon_L1427_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc. zenon_intro zenon_H2d9.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H256. zenon_intro zenon_H2da.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H255. zenon_intro zenon_H25e.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H4d2 | zenon_intro zenon_H51c ].
% 21.04/21.13 apply (zenon_L2370_); trivial.
% 21.04/21.13 apply (zenon_L2671_); trivial.
% 21.04/21.13 apply (zenon_L2681_); trivial.
% 21.04/21.13 apply (zenon_L2709_); trivial.
% 21.04/21.13 apply (zenon_L2713_); trivial.
% 21.04/21.13 apply (zenon_L2758_); trivial.
% 21.04/21.13 apply (zenon_L2765_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2766_ *)
% 21.04/21.13 assert (zenon_L2767_ : ((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H12e zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H338 zenon_H33e zenon_H19e zenon_H149 zenon_Ha3 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H8c zenon_H8f zenon_H93 zenon_H273 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 21.04/21.13 apply (zenon_L73_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.13 apply (zenon_L2128_); trivial.
% 21.04/21.13 apply (zenon_L1085_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2767_ *)
% 21.04/21.13 assert (zenon_L2768_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> (~(hskp34)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H338 zenon_H33e zenon_H19e zenon_H149 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H273 zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_Hc zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 21.04/21.13 apply (zenon_L1079_); trivial.
% 21.04/21.13 apply (zenon_L2767_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2768_ *)
% 21.04/21.13 assert (zenon_L2769_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> (~(hskp22)) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> (~(hskp2)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H387 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_Hc5 zenon_H277 zenon_H275 zenon_H273 zenon_H93 zenon_Hfb zenon_H6c zenon_Hcc zenon_H9 zenon_Hf zenon_Hdc zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_H149 zenon_H19e zenon_H33e zenon_H590 zenon_H165 zenon_H265 zenon_H256 zenon_H25e zenon_H255 zenon_H58b zenon_H285 zenon_H358 zenon_H212 zenon_H215 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H132.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.13 apply (zenon_L2768_); trivial.
% 21.04/21.13 apply (zenon_L916_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2769_ *)
% 21.04/21.13 assert (zenon_L2770_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(hskp2)) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((hskp2)\/((forall W : zenon_U, ((ndr1_0)->((c3_1 W)\/((c2_1 W)\/(c0_1 W)))))\/(forall X : zenon_U, ((ndr1_0)->((~(c0_1 X))\/((~(c1_1 X))\/(~(c3_1 X)))))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((hskp22)\/((forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((c2_1 X57)\/(~(c3_1 X57))))))\/(hskp56))) -> (~(hskp22)) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H328 zenon_H23b zenon_H2a6 zenon_H29e zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_H358 zenon_H285 zenon_H58b zenon_H255 zenon_H25e zenon_H256 zenon_H265 zenon_H165 zenon_H590 zenon_H33e zenon_H19e zenon_H149 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hdc zenon_Hf zenon_H9 zenon_Hcc zenon_H6c zenon_Hfb zenon_H93 zenon_H273 zenon_H275 zenon_H277 zenon_Hc5 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H387 zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.13 apply (zenon_L3_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.13 apply (zenon_L2769_); trivial.
% 21.04/21.13 apply (zenon_L2487_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2770_ *)
% 21.04/21.13 assert (zenon_L2771_ : ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(hskp31)) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H387 zenon_H256 zenon_H25e zenon_H255 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H165 zenon_Hdc zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H285 zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H463 zenon_H46d zenon_H1cf zenon_H149 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 21.04/21.13 apply (zenon_L1079_); trivial.
% 21.04/21.13 apply (zenon_L2072_); trivial.
% 21.04/21.13 apply (zenon_L916_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2771_ *)
% 21.04/21.13 assert (zenon_L2772_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1086)) -> (c2_1 (a1086)) -> (~(c0_1 (a1086))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H273 zenon_H27b zenon_H27a zenon_H279 zenon_H140 zenon_H141 zenon_H142 zenon_H6e zenon_Hc zenon_H256 zenon_H25e zenon_H255.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H250 | zenon_intro zenon_H274 ].
% 21.04/21.13 apply (zenon_L181_); trivial.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H267 | zenon_intro zenon_H270 ].
% 21.04/21.13 apply (zenon_L443_); trivial.
% 21.04/21.13 apply (zenon_L177_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2772_ *)
% 21.04/21.13 assert (zenon_L2773_ : ((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(hskp53)) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H282 zenon_H8f zenon_H255 zenon_H25e zenon_H256 zenon_H142 zenon_H141 zenon_H140 zenon_H273 zenon_H78 zenon_H157 zenon_H158 zenon_H156.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_Hc. zenon_intro zenon_H283.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H279. zenon_intro zenon_H284.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H27a. zenon_intro zenon_H27b.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H6e | zenon_intro zenon_H92 ].
% 21.04/21.13 apply (zenon_L2772_); trivial.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 21.04/21.13 exact (zenon_H78 zenon_H79).
% 21.04/21.13 apply (zenon_L115_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2773_ *)
% 21.04/21.13 assert (zenon_L2774_ : ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> (c1_1 (a1022)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp42)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (c3_1 (a1034)) -> (c1_1 (a1034)) -> (~(c0_1 (a1034))) -> (ndr1_0) -> (~(hskp44)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> (c0_1 (a1042)) -> (~(c1_1 (a1042))) -> (c2_1 (a1042)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1055))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H203 zenon_H11 zenon_H10 zenon_H12 zenon_H8c zenon_H1f1 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H3bc zenon_H3bb zenon_H127 zenon_H126 zenon_H125 zenon_Hc zenon_H161 zenon_H165 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H140 zenon_H141 zenon_H142 zenon_H8f zenon_H285 zenon_H3ba zenon_Hc5.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H163 | zenon_intro zenon_H19b ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbf ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H78 | zenon_intro zenon_Ha0 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H263 | zenon_intro zenon_H282 ].
% 21.04/21.13 apply (zenon_L2059_); trivial.
% 21.04/21.13 apply (zenon_L2773_); trivial.
% 21.04/21.13 apply (zenon_L308_); trivial.
% 21.04/21.13 apply (zenon_L417_); trivial.
% 21.04/21.13 apply (zenon_L100_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2774_ *)
% 21.04/21.13 assert (zenon_L2775_ : ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1044)) -> (c0_1 (a1044)) -> (~(c1_1 (a1044))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> (~(c0_1 (a1055))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> (c2_1 (a1042)) -> (~(c1_1 (a1042))) -> (c0_1 (a1042)) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (ndr1_0) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp42)) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c1_1 (a1022)) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H1cf zenon_H215 zenon_H212 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_Hc5 zenon_H3ba zenon_H285 zenon_H8f zenon_H142 zenon_H141 zenon_H140 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H165 zenon_Hc zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H1f1 zenon_H8c zenon_H12 zenon_H10 zenon_H11 zenon_H203 zenon_Ha3 zenon_H19e.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 21.04/21.13 apply (zenon_L2774_); trivial.
% 21.04/21.13 apply (zenon_L584_); trivial.
% 21.04/21.13 (* end of lemma zenon_L2775_ *)
% 21.04/21.13 assert (zenon_L2776_ : ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp33)) -> (~(hskp15)) -> (ndr1_0) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> (c1_1 (a1022)) -> (~(c2_1 (a1022))) -> (c3_1 (a1022)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1028)) -> (c0_1 (a1028)) -> (~(c1_1 (a1028))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> (c3_1 (a1083)) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> False).
% 21.04/21.13 do 0 intro. intros zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H1dd zenon_H6c zenon_H93 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c5 zenon_H1c3 zenon_Hc zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H12 zenon_H11 zenon_H10 zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H215 zenon_H212 zenon_H471 zenon_H470 zenon_H46f zenon_H19e zenon_H203 zenon_H277 zenon_H275 zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_H158 zenon_H156 zenon_H4ac zenon_H4aa zenon_H4ab zenon_H157 zenon_H40d zenon_H265 zenon_H165 zenon_H273 zenon_H255 zenon_H25e zenon_H256 zenon_H285 zenon_Hc5 zenon_H183 zenon_H166 zenon_H1c8 zenon_H1cf zenon_H149 zenon_H1ec zenon_H1eb zenon_H132.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H22b ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 21.04/21.13 apply (zenon_L1079_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 21.04/21.13 apply (zenon_L73_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ce ].
% 21.04/21.13 apply (zenon_L77_); trivial.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Hc. zenon_intro zenon_H1d0.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1be. zenon_intro zenon_H1d1.
% 21.04/21.13 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1a2. zenon_intro zenon_H1a0.
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 21.04/21.13 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H161 | zenon_intro zenon_H1cb ].
% 21.04/21.13 apply (zenon_L2774_); trivial.
% 21.04/21.13 apply (zenon_L112_); trivial.
% 21.04/21.13 apply (zenon_L631_); trivial.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_Hc. zenon_intro zenon_H1e9.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1e1. zenon_intro zenon_H1ea.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e0. zenon_intro zenon_H1df.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H214 ].
% 21.04/21.14 apply (zenon_L2775_); trivial.
% 21.04/21.14 apply (zenon_L631_); trivial.
% 21.04/21.14 apply (zenon_L1777_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2776_ *)
% 21.04/21.14 assert (zenon_L2777_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H478 zenon_H23b zenon_H387 zenon_H33e zenon_H358 zenon_H132 zenon_H1eb zenon_H1ec zenon_H149 zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_Hc5 zenon_H285 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H165 zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H203 zenon_H19e zenon_H212 zenon_H215 zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.14 apply (zenon_L2776_); trivial.
% 21.04/21.14 apply (zenon_L1634_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2777_ *)
% 21.04/21.14 assert (zenon_L2778_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(hskp25)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1c8 zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H387 zenon_H256 zenon_H25e zenon_H255 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H165 zenon_Hdc zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H285 zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H46d zenon_H1cf zenon_H149 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132 zenon_H2ab zenon_H29e zenon_H2a6 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.14 apply (zenon_L3_); trivial.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.14 apply (zenon_L2771_); trivial.
% 21.04/21.14 apply (zenon_L2487_); trivial.
% 21.04/21.14 apply (zenon_L2777_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2778_ *)
% 21.04/21.14 assert (zenon_L2779_ : ((~(hskp25))\/((ndr1_0)/\((~(c3_1 (a1091)))/\((~(c0_1 (a1091)))/\(~(c2_1 (a1091))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((c3_1 X35)\/(c2_1 X35)))))\/((hskp42)\/(hskp16))) -> (~(hskp16)) -> (~(hskp24)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c0_1 X66)\/((~(c1_1 X66))\/(~(c3_1 X66))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c0_1 X67)\/(c3_1 X67)))))\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H2b9 zenon_H48c zenon_H48a zenon_H4d2 zenon_H4d4 zenon_H328 zenon_H47b zenon_H1c8 zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H387 zenon_H256 zenon_H25e zenon_H255 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H165 zenon_Hdc zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H285 zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H46d zenon_H1cf zenon_H149 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132 zenon_H2ab zenon_H2a6 zenon_H23b zenon_H6 zenon_H5 zenon_H335.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H29e | zenon_intro zenon_H2b6 ].
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.14 apply (zenon_L2778_); trivial.
% 21.04/21.14 apply (zenon_L2488_); trivial.
% 21.04/21.14 apply (zenon_L2516_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2779_ *)
% 21.04/21.14 assert (zenon_L2780_ : ((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> (~(c2_1 (a1089))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c3_1 (a1083)) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (c3_1 (a1022)) -> (~(c2_1 (a1022))) -> (c1_1 (a1022)) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H478 zenon_H23b zenon_H560 zenon_H54a zenon_H4f0 zenon_H4ed zenon_H4ef zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H149 zenon_H1cf zenon_H1c8 zenon_H166 zenon_H183 zenon_Hc5 zenon_H285 zenon_H256 zenon_H25e zenon_H255 zenon_H273 zenon_H165 zenon_H265 zenon_H40d zenon_H157 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H156 zenon_H158 zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H275 zenon_H277 zenon_H203 zenon_H19e zenon_H212 zenon_H215 zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H10 zenon_H11 zenon_H12 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H93 zenon_H6c zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_Hc. zenon_intro zenon_H479.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H470. zenon_intro zenon_H47a.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H46f. zenon_intro zenon_H471.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.14 apply (zenon_L2776_); trivial.
% 21.04/21.14 apply (zenon_L2510_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2780_ *)
% 21.04/21.14 assert (zenon_L2781_ : ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> (~(hskp11)) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> (~(c0_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c2_1 (a1080))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (~(hskp15)) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(c2_1 (a1039))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c0_1 (a1055))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (~(c1_1 (a1043))) -> (~(c3_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (~(c1_1 (a1036))) -> (~(c3_1 (a1036))) -> (c0_1 (a1036)) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> (~(c1_1 (a1089))) -> (c0_1 (a1089)) -> (~(c2_1 (a1089))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> (~(hskp0)) -> (~(hskp29)) -> ((hskp0)\/((hskp29)\/(hskp30))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H328 zenon_H47b zenon_H1c8 zenon_H1dd zenon_H533 zenon_H535 zenon_Hc8 zenon_H23c zenon_H387 zenon_H256 zenon_H25e zenon_H255 zenon_H319 zenon_Ha3 zenon_H8c zenon_H8f zenon_H1c7 zenon_H1c3 zenon_H4c2 zenon_H4c3 zenon_H4c1 zenon_H308 zenon_H3bc zenon_H3bb zenon_H3ba zenon_H423 zenon_H2f9 zenon_H307 zenon_H137 zenon_H135 zenon_H138 zenon_H1ed zenon_H219 zenon_H19e zenon_H203 zenon_H2e zenon_H40d zenon_H4ac zenon_H4aa zenon_H4ab zenon_H500 zenon_H5ed zenon_H5eb zenon_H5ec zenon_Hfb zenon_H6c zenon_Hcc zenon_H265 zenon_H165 zenon_Hdc zenon_H273 zenon_H157 zenon_H158 zenon_H156 zenon_H285 zenon_H93 zenon_H275 zenon_H277 zenon_Hc5 zenon_H46d zenon_H1cf zenon_H149 zenon_H358 zenon_H183 zenon_H166 zenon_H33e zenon_H212 zenon_H215 zenon_H1ec zenon_H1eb zenon_H132 zenon_H2ab zenon_H4ef zenon_H4ed zenon_H4f0 zenon_H54a zenon_H560 zenon_H23b zenon_H6 zenon_H1 zenon_H5.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H3 | zenon_intro zenon_H325 ].
% 21.04/21.14 apply (zenon_L3_); trivial.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hc. zenon_intro zenon_H326.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H11. zenon_intro zenon_H327.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H10. zenon_intro zenon_H12.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H47b); [ zenon_intro zenon_H463 | zenon_intro zenon_H478 ].
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.14 apply (zenon_L2771_); trivial.
% 21.04/21.14 apply (zenon_L2510_); trivial.
% 21.04/21.14 apply (zenon_L2780_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2781_ *)
% 21.04/21.14 assert (zenon_L2782_ : ((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c0_1 (a1034))) -> (c1_1 (a1034)) -> (c3_1 (a1034)) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H1ee zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_Hc5 zenon_H33e zenon_H338 zenon_H285 zenon_H3ba zenon_H273 zenon_H165 zenon_H125 zenon_H126 zenon_H127 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H275 zenon_H277 zenon_H358 zenon_H19e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Hc. zenon_intro zenon_H1ef.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H140. zenon_intro zenon_H1f0.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H141. zenon_intro zenon_H142.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ].
% 21.04/21.14 apply (zenon_L859_); trivial.
% 21.04/21.14 apply (zenon_L2071_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2782_ *)
% 21.04/21.14 assert (zenon_L2783_ : ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> (~(hskp34)) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> (~(hskp33)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_Hc5 zenon_H33e zenon_H338 zenon_H285 zenon_H3ba zenon_H273 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H277 zenon_H358 zenon_H19e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c5 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_Hc zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hae | zenon_intro zenon_H12e ].
% 21.04/21.14 apply (zenon_L764_); trivial.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hc. zenon_intro zenon_H130.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H127. zenon_intro zenon_H131.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H125. zenon_intro zenon_H126.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H133 | zenon_intro zenon_H1ee ].
% 21.04/21.14 apply (zenon_L73_); trivial.
% 21.04/21.14 apply (zenon_L2782_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2783_ *)
% 21.04/21.14 assert (zenon_L2784_ : ((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021))))) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (~(c0_1 (a1055))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1089)) -> (~(c1_1 (a1089))) -> (~(c2_1 (a1089))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> (c3_1 (a1083)) -> (~(c1_1 (a1083))) -> (c2_1 (a1083)) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> (~(c2_1 (a1039))) -> (c1_1 (a1039)) -> (~(c0_1 (a1039))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H332 zenon_H23b zenon_H560 zenon_H54a zenon_H132 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H215 zenon_H212 zenon_Hc5 zenon_H33e zenon_H285 zenon_H3ba zenon_H273 zenon_H165 zenon_H3bb zenon_H3bc zenon_H265 zenon_H40d zenon_H4ab zenon_H4aa zenon_H4ac zenon_H5ec zenon_H5eb zenon_H5ed zenon_H277 zenon_H358 zenon_H19e zenon_H149 zenon_H183 zenon_H8f zenon_H8c zenon_H500 zenon_H4ed zenon_H4ef zenon_H4f0 zenon_H166 zenon_H1c3 zenon_H1c7 zenon_H157 zenon_H158 zenon_H156 zenon_Ha3 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H4c1 zenon_H4c2 zenon_H4c3 zenon_H275 zenon_H2ab zenon_H423 zenon_H4e1 zenon_H51a zenon_H387.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Hc. zenon_intro zenon_H333.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H32a. zenon_intro zenon_H334.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H329. zenon_intro zenon_H32b.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H237 ].
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H338 | zenon_intro zenon_H37c ].
% 21.04/21.14 apply (zenon_L2783_); trivial.
% 21.04/21.14 apply (zenon_L807_); trivial.
% 21.04/21.14 apply (zenon_L2510_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2784_ *)
% 21.04/21.14 assert (zenon_L2785_ : ((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> (c2_1 (a1083)) -> (~(c1_1 (a1083))) -> (c3_1 (a1083)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1 X79))\/((~(c0_1 X79))\/(~(c3_1 X79))))))\/(forall X80 : zenon_U, ((ndr1_0)->((~(c0_1 X80))\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp53))\/((ndr1_0)/\((c1_1 (a1073))/\((c2_1 (a1073))/\(c0_1 (a1073)))))) -> ((~(hskp48))\/((ndr1_0)/\((c3_1 (a1062))/\((c2_1 (a1062))/\(c0_1 (a1062)))))) -> (~(c2_1 (a1080))) -> (~(c1_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp34))\/((ndr1_0)/\((~(c2_1 (a1032)))/\((~(c1_1 (a1032)))/\(c3_1 (a1032)))))) -> ((~(hskp35))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c3_1 (a1033)))))) -> ((~(hskp38))\/((ndr1_0)/\((c1_1 (a1040))/\((c3_1 (a1040))/\(c2_1 (a1040)))))) -> ((hskp11)\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c3_1 X18))\/(~(c1_1 X18))))))\/(hskp39))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c3_1 X16))\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp38)\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c3_1 X17))\/(c1_1 X17))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c2_1 X83))\/((~(c3_1 X83))\/(c0_1 X83)))))\/((forall X84 : zenon_U, ((ndr1_0)->((c2_1 X84)\/((c3_1 X84)\/(~(c1_1 X84))))))\/(hskp35))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1028))/\((~(c1_1 (a1028)))/\(c3_1 (a1028)))))) -> ((~(hskp30))\/((ndr1_0)/\((~(c2_1 (a1022)))/\((c3_1 (a1022))/\(c1_1 (a1022)))))) -> False).
% 21.04/21.14 do 0 intro. intros zenon_H51c zenon_H335 zenon_H4e1 zenon_H51a zenon_H5 zenon_H6 zenon_H23b zenon_H560 zenon_H54a zenon_H2ab zenon_H132 zenon_H1eb zenon_H1ec zenon_H215 zenon_H212 zenon_H33e zenon_H166 zenon_H183 zenon_H358 zenon_H149 zenon_H1cf zenon_H46d zenon_Hc5 zenon_H277 zenon_H275 zenon_H93 zenon_H285 zenon_H156 zenon_H158 zenon_H157 zenon_H273 zenon_Hdc zenon_H165 zenon_H265 zenon_Hcc zenon_H6c zenon_Hfb zenon_H5ec zenon_H5eb zenon_H5ed zenon_H500 zenon_H4ab zenon_H4aa zenon_H4ac zenon_H40d zenon_H2e zenon_H203 zenon_H19e zenon_H219 zenon_H1ed zenon_H138 zenon_H135 zenon_H137 zenon_H307 zenon_H2f9 zenon_H423 zenon_H3ba zenon_H3bb zenon_H3bc zenon_H308 zenon_H4c1 zenon_H4c3 zenon_H4c2 zenon_H1c3 zenon_H1c7 zenon_H8f zenon_H8c zenon_Ha3 zenon_H319 zenon_H255 zenon_H25e zenon_H256 zenon_H387 zenon_H23c zenon_Hc8 zenon_H535 zenon_H533 zenon_H1dd zenon_H1c8 zenon_H47b zenon_H328.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_Hc. zenon_intro zenon_H51d.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H4f0. zenon_intro zenon_H51e.
% 21.04/21.14 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H4ed. zenon_intro zenon_H4ef.
% 21.04/21.14 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1 | zenon_intro zenon_H332 ].
% 21.04/21.14 apply (zenon_L2781_); trivial.
% 21.04/21.14 apply (zenon_L2784_); trivial.
% 21.04/21.14 (* end of lemma zenon_L2785_ *)
% 21.04/21.14 assert (zenon_L2786_ : ((ndr1_0)/\((c2_1 (a1083))/\((c3_1 (a1083))/\(~(c1_1 (a1083)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c2_1 (a1089)))/\((c0_1 (a1089))/\(~(c1_1 (a1089))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((~(c3_1 U))\/((c2_1 U)\/(c1_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((~(c0_1 V))\/(~(c2_1 V))))))\/(hskp1))) -> ((~(hskp51))\/((ndr1_0)/\((c2_1 (a1070))/\((~(c1_1 (a1070)))/\(c0_1 (a1070)))))) -> ((hskp51)\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(c2_1 Z))))))) -> ((~(hskp29))\/((ndr1_0)/\((~(c1_1 (a1021)))/\((~(c3_1 (a1021)))/\(c2_1 (a1021)))))) -> ((hskp0)\/((hskp29)\/(hskp30))) -> (~(hskp0)) -> ((~(hskp33))\/((ndr1_0)/\((c3_1 (a1031))/\((~(c1_1 (a1031)))/\(c2_1 (a1031)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp25)\/(forall X52 : zenon_U, ((ndr1_0)->((~(c2_1 X52))\/((~(c1_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(c0_1 X11)))))\/((hskp36)\/(hskp7))) -> ((~(hskp36))\/((ndr1_0)/\((c3_1 (a1034))/\((~(c0_1 (a1034)))/\(c1_1 (a1034)))))) -> ((~(hskp39))\/((ndr1_0)/\((c0_1 (a1042))/\((~(c1_1 (a1042)))/\(c2_1 (a1042)))))) -> ((~(hskp40))\/((ndr1_0)/\((~(c1_1 (a1044)))/\((c3_1 (a1044))/\(c0_1 (a1044)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((~(c0_1 X25))\/(~(c3_1 X25))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp52)\/((hskp34)\/(forall X48 : zenon_U, ((ndr1_0)->((~(c3_1 X48))\/((c1_1 X48)\/(~(c0_1 X48)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c3_1 X61))\/(c2_1 X61)))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c2_1 X62))\/((~(c3_1 X62))\/(c1_1 X62)))))\/(hskp57))) -> ((~(hskp57))\/((ndr1_0)/\((c2_1 (a1085))/\((c0_1 (a1085))/\(c3_1 (a1085)))))) -> ((~(hskp52))\/((ndr1_0)/\((c1_1 (a1071))/\((c0_1 (a1071))/\(c3_1 (a1071)))))) -> ((hskp40)\/((hskp41)\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((c1_1 X21)\/(~(c2_1 X21)))))))) -> ((~(hskp44))\/((ndr1_0)/\((c1_1 (a1051))/\((~(c2_1 (a1051)))/\(c0_1 (a1051)))))) -> ((hskp31)\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c1_1 X2))\/(c2_1 X2)))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c2_1 X3))\/((c1_1 X3)\/(c3_1 X3))))))) -> ((~(hskp47))\/((ndr1_0)/\((c2_1 (a1056))/\((c1_1 (a1056))/\(c3_1 (a1056)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c3_1 X28))\/(~(c2_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp54))\/((ndr1_0)/\((c3_1 (a1074))/\((c0_1 (a1074))/\(c2_1 (a1074)))))) -> ((~(hskp58))\/((ndr1_0)/\((~(c0_1 (a1086)))/\((c2_1 (a1086))/\(c3_1 (a1086)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((c1_1 X42)\/(~(c2_1 X42))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c0_1 X77)\/((c1_1 X77)\/(c2_1 X77))))))) -> ((~(hskp63))\/((ndr1_0)/\((~(c2_1 (a1105)))/\((c1_1 (a1105))/\(c3_1 (a1105)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c3_1 X29)\/(c2_1 X29)))))\/((hskp44)\/(hskp45))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c1_1 X63))\/(~(c3_1 X63))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c3_1 X64))\/((c1_1 X64)\/(c2_1 X64)))))\/(hskp58))) -> ((hskp62)\/((hskp56)\/(hskp63))) -> ((hskp54)\/((hskp47)\/(forall X51 : zenon_U, ((ndr1_0)->((~(c3_1 X51))\/((~(c2_1 X51))\/(~(c1_1 X51)))))))) -> ((~(hskp62))\/((ndr1_0)/\((c2_1 (a1103))/\((c3_1 (a1103))/\(c1_1 (a1103)))))) -> (c0_1 (a1036)) -> (~(c3_1 (a1036))) -> (~(c1_1 (a1036))) -> ((forall X45 : zenon_U, ((ndr1_0)->((~(c2_1 X45))\/((c0_1 X45)\/(c1_1 X45)))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c0_1 X46))\/((c3_1 X46)\/(c1_1 X46)))))\/(forall X47 : zenon_U, ((ndr1_0)->((c3_1 X47)\/((c1_1 X47)\/(c2_1 X47))))))) -> (c0_1 (a1043)) -> (~(c3_1 (a1043))) -> (~(c1_1 (a1043))) -> ((forall X30 : zenon_U, ((ndr1_0)->((~(c0_1 X30))\/((~(c2_1 X30))\/(c1_1 X30)))))\/((hskp47)\/(forall X31 : zenon_U, ((ndr1_0)->((~(c2_1 X31))\/((~(c0_1 X31))\/(c3_1 X31))))))) -> ((~(hskp56))\/((ndr1_0)/\((~(c3_1 (a1084)))/\((~(c1_1 (a1084)))/\(c0_1 (a1084)))))) -> ((hskp42)\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c0_1 X22)\/(~(c2_1 X22))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c1_1 X23))\/((~(c3_1 X23))\/(c2_1 X23))))))) -> ((~(hskp45))\/((ndr1_0)/\((c0_1 (a1052))/\((c3_1 (a1052))/\(c2_1 (a1052)))))) -> ((~(hskp42))\/((ndr1_0)/\((~(c2_1 (a1046)))/\((c1_1 (a1046))/\(c0_1 (a1046)))))) -> ((~(hskp41))\/((ndr1_0)/\((~(c1_1 (a1045)))/\((~(c0_1 (a1045)))/\(c3_1 (a1045)))))) -> (~(hskp17)) -> (~(hskp18)) -> ((hskp39)\/((hskp17)\/(hskp18))) -> ((~(hskp59))\/((ndr1_0)/\((~(c0_1 (a1095)))/\((~(c3_1 (a1095)))/\(c1_1 (a1095)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(c3_1 X34)))))\/((hskp36)\/(hskp48))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c1_1 X58))\/((c0_1 X58)\/(c2_1 X58)))))\/((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(c1_1 X59)))))\/(forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c1_1 X60))\/(c2_1 X60))))))) -> (~(c0_1 (a1055))) -> (~(c1_1 (a1055))) -> (~(c2_1 (a1055))) -> ((forall X81 : zenon_U, ((ndr1_0)->((~(c3_1 X81))\/((c2_1 X81)\/(~(c1_1 X81))))))\/((hskp59)\/(forall X82 : zenon_U, ((ndr1_0)->((~(c3_1 X82))\/((c0_1 X82)\/(c2_1 X82))))))) -> (~(c2_1 (a1039))) -> (~(c0_1 (a1039))) -> (c1_1 (a1039)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((~(c3_1 X33))\/((c2_1 X33)\/(c0_1 X33)))))\/((hskp15)\/(hskp33))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c2_1 X49))\/((~(c3_1 X49))\/(~(c0_1 X49))))))\/((hskp53)\/(forall X50 : zenon_U, ((ndr1_0)->((~(c3_1 X50))\/((c1_1 X50)\/(~(c2_1 X50)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((~(c1_1 X78))\/((~(c0_1 X78))\/(~(c2_1 X78))))))\/((forall X79 : zenon_U, ((ndr1_0)->((~(c2_1